Abst_book_draft-120920

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India MF-02 Simulation of Runaway Electron Distribution Function Following Massive Gas Injections in ITER-like Tokamak and Beam Energy Dissipation Ansh Patel1, Santosh P. Pandya2 1 School of Liberal Studies, Pandit Deendayal Petroleum University, Gandhinagar -382007, India 2 Institute for Plasma Research, Bhat, Gandhinagar – 382 428, India. e-mail: [email protected] Plasma disruptions in magnetic fusion devices such as ITER tokamak are predicted to convert a large amount of the plasma current into high-energy runaway electrons (RE) because of the large avalanche gain [1]. When deposited on the plasma-facing components, the REs can cause significant damage and hence need to be suppressed. Out of a few RE suppression techniques, the two proposed mitigation techniques for ITER Disruption Mitigation System (DMS) include a massive gas injection (MGI) and a shattered pellet injection (SPI) [1, 2], in which an injection of a large number of particles (either by gas injection or shooting in the form of cryogenic solid pellets) lead to effective uniform radiation of plasma thermal and magnetic energies. In this talk, we present the simulation results of the evolution of the RE-energy and pitch-angle distribution function during an MGI/SPI using PREDICT code developed in [3], with corrections to account for impurity content as proposed in [4]. It is shown that the presence of impurities leads to higher collisional dissipation due to collisions with free and bound electrons, electron-shielded, and unshielded ionic nuclear charge leading to energy losses and thermalization of REs (left plot). A higher collision frequency is shown to scatter REs in momentum space leading to higher synchrotron radiation losses and a decrease in maximum and average RE energy. The presence of impurities is shown to suppress Dreicer and avalanche generation rates. In presence of impurity content, the combined suppression of RE energy and generation rates is shown to cause RE-current decay (right plot) with a higher amount of impurity leading to faster decay as also reported in [1]. The present simulation tool can be utilized to study the effectiveness of impurity injection in different plasma scenarios with varying impurity composition and amount. References: [1] M. Lehnen, et.al., Journal of Nuclear Materials, 463, pp39-48, (2015) [2] M. Lehnen, et.al., ITER Disruption mitigation workshop, Report:ITR-18-002, (2018) [3] Santosh P. Pandya, PhD thesis, 2019AIXM0036, Aix-Marseille University, France, (2019) [4] J. R. Martín-Solís, et.al., Physics of Plasmas 22, 092512, (2015) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 81

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India MF-03 Nitrogen Seeding in a Tokamak Plasma: Non-coronal Effects Shrish Raj1, N. Bisai2, Vijay Shankar2 and A. Sen2 1,2Institute for Plasma Research, Bhat, Gandhinagar-382428, Gujarat, India and Homi Bhabha National Institute (HBNI), Anushaktinagar, Mumbai, Maharashtra-400094, India e-mail: [email protected] Nitrogen impurity seeding has been used in many tokamaks as it can reduce plasma turbulence in the edge and scrape-off layer (SOL) regions and significantly reduces heat loads on the material walls such as limiter or divertor. The nitrogen gas interacts with the plasma electrons by various collisional processes that are often described by a simple coronal equilibrium model. However, for present day tokamaks a coronal model is not adequate particularly since the edge/SOL temperatures can be quite high [1] and non-coronal effects can become important. Thus, the energy losses in a tokamak plasma can greatly exceed the coronal equilibrium-based estimates particularly near the tokamak edge region [2]. The interaction of impurity ions with electrons in a non- coronal equilibrium state is more dominant in comparison to the interaction in a coronal equilibrium state. This ultimately causes more radiation losses than the coronal equilibrium. In the present work the effects of Nitrogen gas seeding in the edge and scrape-off-layer (SOL) regions of a tokamak plasma in both coronal and non-coronal equilibrium states are studied through 2D fluid simulations using the BOUT++ code [3]. A self-consistent study of the interaction of nitrogen ions with the turbulent plasma in the edge and SOL regions is carried out for this purpose including the effects of polarization drifts of the heavier impurity ions for determining the plasma vorticity. It is found that the radiation loss is not localized, the radiation peak broadens and it’s amplitude also increases in the presence of non-coronal equilibrium effects. Nitrogen seeding is found to significantly modify the turbulence level as well as to influence the profiles of the equilibrium plasma density, the electron temperature, and the electron energy flux. References [1] A.Kallenbach, M. Bernert, R. Dux, L. Casali, T. Eich, L. Giannone, A. Herrmann, R. McDermott, A. Mlynek, H. W. Müller, F. Reimold, J. Schweinzer, M. Sertoli, G. Tardini, W. Treutterer, E. Viezzer, R. Wenninger, and M. Wischmeier and. Plasma Physics and Controlled Fusion , 55 (12):124041, 2013. [2] A. A. Mavrin, Journal of Fusion Energy, 36, 161-172 (2017). [3] B. D. Dudson, M. V. Umansky, X. Q. Xu, P. B. Snyder, and H. R. Wilson, Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 82

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India MF-04 Comparison of the Ignition of Cylindrical Targets in Magneto-Inertial fusion: non-equilibrium model E. Ghorbanpour, A. Ghasemizad, S. Khoshbinfar Department of Physics, Faculty of Science, University of Guilan, P.O. Box 41335-1914, Rasht, Iran e-mail: [email protected] We have compared the ignition conditions of cylindrical targets in Magneto-Inertial fusion in non-equilibrium model for two different fuel configurations of deuterium-tritium plasma and the proton-boron. The ignition conditions of ICF targets in the presence of an axial magnetic field are different from traditional ICF. Therefore, we have calculated the power balance equations for both targets and illustrated them through Lindl-Widner diagrams. A comparison with ICF non- magnetized model is also presented. References [1] A.J. Kemp, M. Basko, J. Meyer-ter-Vehn, Nucl. Instrum. Meth. A, 464, 192-195 (2001). [2] S. Eliezer, Z. Henis, N. Nissim, S.V. Pinhasi, J.M.M. Val, Laser Part. Beams, 33, 577-589 (2015) [3] E. Ghorbanpour, A. Ghasemizad, S. Khoshbinfar, Nucl. Sci. Tech, 30, 67 (2019). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 83

Quantum Plasma s

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-01 Dynamics of Nucleus-Acoustic Waves In Compact Astroenvirons Pralay Kumar Karmakar Department of Physics, Tezpur University, Napaam-784028, Tezpur, Assam, India E-mail: [email protected] The exotic excitation dynamics of the collective Nucleus-Acoustic Waves (NAWs) supported in a strongly coupled self-gravitating degenerate Quantum Dwarf Plasma (QDP) system is demonstratively explored. It is motivated by the extensive existence of the constitutive eigenmodes in white dwarfs and other compact astroobjects [1-3]. The adopted spherically symmetric QDP is composed of strongly coupled non-degenerate heavy nuclei, weakly coupled degenerate light nuclei (correlated inertial species); and non-relativistically and ultra-relativistically degenerate lighter electrons (uncorrelated quasi-thermal species). Such situations indeed exist in varied dwarf environs [2-4]. A standard normal spherically symmetric mode analysis [3], which relaxes any formal kind of quasi-classic approximation, is executed to derive a complex linear generalized dispersion relation. A numerical illustrative calculation is implemented in the ultra-low frequency approximation to see the dependency of various sensible parameters on the instability evolution. It is seen that the relative nuclear charge-mass coupling parameter (  ) acts as a destabilizing and stabilizing agents in the non-relativistic (NR) and ultra-relativistic (UR) limits, respectively. The ratio of the charge density of heavy-to-light nuclear species (  ) plays as a destabilizer (stabilizer) in the NR (UR) limits. The quantum parameter ( H' ) interestingly acts as a stabilizer in both the NR-UR limits of the quantum electronic response. In addition, application of nonlinear perturbation analysis over the QDP system yields a conjugated pair of the extended Korteweg-de Vries (e-KdV) equations of unique shape. It shows the collective excitations of a new conjugational pair of nonlinear eigenmode structures of gravito-electrosatic nuclear origin. The electrostatic potential fluctuations evolve as a distinct family of stable periodic symmetric waves, resembling regular soliton-antisoliton chains. In contrast, the gravitational counterparts grow as a unique class of extended asymmetric oscillatory solitons and dispersive oscillatory shocks. The microphysical influential dependencies of the diversified eigenstructural patterns on various sensible plasma multi-parametric factors are illustratively analyzed in both the NR-UR limits of the electronic dynamics [3-4]. The applicability of our semi-analytic results on the varied wave-kinetic phenomena is lastly outlined alongside an intensive indication to non-trivial new scope in the context of dwarf astrostructures and correlated circumvent atmospheres. References [1] S. Chandrasekhar, Astrophys. J. 74, 81 (1931) [2] G. Manfredi, Fields Inst. Commun. Ser. 46, 263 (2005) [3] P. K. Karmakar and P. Das, Phys. Plasmas 8, 085209 (2018) [4] P. Das and P. K. Karmakar, Europhys. Lett. 126, 10001 (2019) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 84

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-02 Recent Trends in Quantum Plasma Physics Manisha Raghuvanshi and Sanjay Dixit Department of Physics, Govt. M. V. M College, Barkatullah University, Bhopal (M.P), India e-mail: [email protected] During the last decades, there has been a growing interest in investigating quantum plasma by development the quantum hydrodynamic QHD equation by incorporating the quantum force associated with the Bohm potential. Quantum plasma developed very fast and developed its application in astrophysical as well as laboratory plasma; quantum plasma finds more applications in semiconductor Nano devices. Quantum walls, CNTS ultra laser solid interaction etc. quantum plasma has gained much popularity in recent years. By applying quantum hydrodynamics model QHD the mathematical intricacies have become quite easier to explore. Have explained the solitary waves and relativistic degeneracy of quantum plasma. The elementary aspect of quantum plasma in QHD model from the research papers. The theoretical formulation is based on quantum hydrodynamics model of quantum plasma using coupled mode theory, SBS, SRS, Parametric and Modulational instability. References [1] G. Manfredi and F. Haas, Phys. Rev. B 64, 075316, (2001). [2] G. Manfredi, Fields Inst. Comm. 46, 263, (2005). [3] J. A Bitten court – Fundamental of plasma physics. [4] Mattias Marklund and Padma K. Shukla, Rev. Mod. Phys. 78(2), 591-640, (2006). [5] F. Haas, G. Manfredi, And M. R. Feix, Phys. Rev. E. 62(2), 2763–2772, (2000). [6] M. Marklund and G. Brodin, Phys. Rev. Lett. 98(2), 025001, (2007). [6] S. A. Khan and W. Masood, Phys. Plasmas. 15, 062301, (2008). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 85

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-03 Study of Electron-acoustic Solitary Waves in Ultra-relativistic Degenerate Quantum Plasma with Two-temperature Electrons Saloni, Alisha, S. Sharma, A. Kaur, and S. Chandra Guru Nanak Dev University, Amritsar, India e-mail: [email protected] We have studied the ultra-relativistic degenerate quantum plasma whose constituents are two distinct groups of electrons: one inertial cold electrons and other inertia-less hot electrons and the immobile ions forming a neutralizing background. The nonlinear wave structure of electron-acoustic waves (EAWs) in ultra-relativistic degenerate quantum plasma has been examined. A quantum hydrodynamic (QHD) model is used to study the propagation characteristics of nonlinear electron- acoustic waves. By using one dimensional quantum hydrodynamic model and standard reductive perturbation technique, a Korteweg-de-Vries (KdV) equation is derived and this equation gives the solitary wave solution. It is observed that the degenerate quantum plasma under ultra-relativistic consideration supports only rarefactive solitary wave structures which are associated with negative potentials and the amplitude of solitary structure is independent from the quantum diffraction parameter H but an increase in the value of H broadens the solitary structure. It is shown that equilibrium cold-to-hot electron number density ������, the relativistic degeneracy parameter Feh and non-dimensional quantum diffraction parameter H significantly influence on the formation and properties of electron-acoustic solitary wave structures. References [1] R.L. Mace, and M.A. Hellberg, J. Plasma Phys. 43, 239-255 (1990). [2] R.L. Mace, S. Baboolal, R. Bharuthram, and M.A. Hellberg, J. Plasma Phys. 45, 323-338 (1991) [3] A.A. Mamun, and P.K. Shukla, J. Geophys. Res. 107, 1135 (2002) [4] S. Sultana, and I. Kourakis, Plasma Phys. Control. Fusion 53, 045003 (2011) [5] R.L. Tokar, and S.P. Gary, Geophys. Res. Lett. 11, 1180 (1984) [6] Manfredi, G.: Fields Inst. Commun. 46, 263 (2005) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 86

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-04 Streaming Instabilities in Quantum Plasmas with Effect of Quantum Statistical Pressure Shiva Shakti Singh1, Kamakhya Prakash Misra1 and Jyoti2 1Department of Physics, Manipal University Jaipur, Jaipur, Rajasthan, India-303007 2Government College for Women, Gurawara, Haryana, India-123035 e-mail: [email protected] In the current study, quantum plasmas with positive ions and electrons in which quantum effects play very effective role are considered. The ions are assumed to be cold and singly charged. Continuity equations are formulated for the electrons in which the quantum statistical pressure is taken into account. Statistical pressure is evaluated from continuity equation using normal mode analysis along with linear approximation. Here higher order perturbation terms are neglected. The continuity equation gives, dispersion relation which is eventually solved for obtaining the numerical values of ɷ, using typical plasma parameters. From this dispersion relation growth profile of instabilities has been investigated using typical plasma parameters for quantum plasma. References [1] F. Haas. Quantum Plasmas: an Hydrodynamic Approach, (Springer, New York, 2011). [2] P. K. Shukla and B. Eliasson. Rev. Mod. Phys. 83, 885-906, (2011). [3] P. K. Shukla and B. Eliasson. Phys. Uspekhi 53, 55 (2010). [4] G. Manfredi. Fields Inst. Commun. 46, 263 (2005). [5] Zh. A. Moldabekov, S. Groth, T. Dornheim, H. K€ahlert, M. Bonitz, and T. S. Ramazanov. Phys. Rev. E 98, 023207 (2018). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 87

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-05 Raman and Brillouin Scattering Instabilities of Transverse Electromagnetic Waves in Degenerate Electron-ion Plasmas Maryam Naveed Lahore College for Women University, Lahore, Pakistan e-mail: [email protected] By applying the Maxwell and quantum hydrodynamic equations, we have studied the parametric instabilities of stimulated Raman scattering (SRS) and stimulated Brillouin scattering (SBS) in an unmagnetized electron-ion quantum plasma. In this context, we have derived the nonlinear dispersion relations of the large-amplitude electromagnetic (EM) waves, the electrostatic electron plasma waves, and the ion-acoustic waves. The nonlinear evolution equations are then solved by utilizing the Fourier transform to obtain expressions for the three-wave decay and modulational instabilities with quantum corrections. It is found that the growth rate of the instabilities is a strong function of large-amplitude EM waves, and quantum effects due to Fermi pressure and quantum correlations stabilize both SRS and SBS instabilities. Expressions for the maximum growth rates attributed to SRS and SBS instabilities are also derived by ignoring the nonlinear correction shift on the frequency of EM waves. The relevance of nonlinear interaction of EM waves with a quantum dense astrophysical plasma is highlighted in the perspective of electron Fermi pressure and exchange correlation effects, where the plasma density is high enough. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 88

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-06 Rayleigh–Taylor/Gravitational Instability in Dense Magneto-Plasmas S. Butt1, S. Ali2,3 and Z. Ahmed4 1Departmen of Physics, Lahore College for Women University, Lahore 2National Centre for Physics, Quaid-i-Azam University Campus, Islamabad, Pakistan 3IPFN, Instituto Superior Technico, Av. Rovisco Pais, 1049-, Lisboa, Portugal 4COMSATS Institute of Information Technology, Department of Physics, Wah Campus, Pakistan The Rayleigh–Taylor instability is investigated in a non-uniform dense quantum magnetoplasma. For this purpose, a quantum hydro-dynamical model is used for the electrons whereas the ions are assumed to be cold and classical. The dispersion relation for the Rayleigh–Taylor instability becomes modified with the quantum corrections associated with the Fermi pressure law and the quantum Bohm potential force. Numerically, it is found that the quantum speed and density gradient significantly modify the growth rate of RT instability. In a dense quantum magnetoplasma case, the linear growth rate of RT instability becomes significantly higher than its classical value and the modes are found to be highly localized. The present investigation should be useful in the studies of dense astrophysical magneto-plasmas as well as in laser-produced plasmas. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 89

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-07 Ion Acoustic Solitary Waves in a Self- Gravitating Degenerate Quantum Plasma Sailendra Nath Paul1,2, Arkojyothi Chatterjee2 and Indrani Paul1 1Department of Physics, Jadavpur University, Kolkata-700032, India. 2East Kolkata Centre for Science Education Research, B.P.Township, Kolkata-700 094, India. e-mail: [email protected] Nonlinear propagation of waves in self-gravitating degenerate quantum plasma physics is one of the current interesting research fields because of some observational evidence in astronomical compact objects (viz. white dwarfs, neutron stars, and black holes etc. The number density of the plasma species is extremely high in self-gravitating degenerate quantum plasma (order of 1030 cm-3 in white dwarfs and order of 1036 cm-3 or even more in neutron stars which leads to generate a strong gravitational field inside the plasma medium. In this paper we have been theoretically investigated ion-acoustic solitary waves in a self-gravitating degenerate quantum plasma system, containing inertial non-relativistically degenerate light and heavy ion species as well as inertialess non-relativistically degenerate positron and electron species using pseudo potential method. The critical values of densities of the positrons and ions for the excitation of ion-acoustic solitary wave have been obtained. The solutions of the first-order and next higher order solitary waves have been obtained and the profiles of the solitary waves have been drawn taking different values of the plasma parameters. The variation of amplitudes of solitary waves are shown graphically for different values of the density of degenerate positrons. The findings of this theoretical investigation may be useful for understanding the nonlinear wave processes in space (viz. neutron stars and white dwarf). References [1] A. P.Misra and C.Bhowmik, Phys. Letts. A, 90-97(2007). [2] M. Shah Mansouri, PRAMANA-journal of physics, 80, 295-306(2013). [3] S N Paul, A Chatterjee and Indrani Paul, Indian J. Phys. , 91, 101-107 (2017). ______________________________________________________________________________________________________ Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 90

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-08 Theoretical Study of High Harmonics Radiation In Magnetized Quantum Plasma N. S. Rathore1and P. Kumar 2 1Department of Physics, University of Lucknow, Lucknow. 2Department of Physics, University of Lucknow, Lucknow. e-mail: [email protected] The physical phenomenon of interaction of a high intensity laser radiation with plasma leads to a number of relativistic and nonlinear effects such as self modulation, self-focusing, Raman scattering, and harmonic generation [1]. Harmonic generation of electromagnetic radiation in laser-produced plasmas and laboratory plasmas is an important nonlinear process with considerable potential for plasma diagnostics [2]. Traditional plasma physics has mainly focused on high-temperature and low-density regimes, where quantum-mechanical effects play no role. Quantum effects become important when the particle approximation is not possible, i.e, whenever the de Broglie length does not vanish.A plasma can be regarded as quantum when the quantum nature of its particles significantly affects its macroscopic properties. Understanding the quantum plasmas is challenging as physical processes deviate significantly from the classical prediction [3,4]. The high density quantum plasma and short pulse laser interaction has gain importance due recent experiments like inertial confinement fusion, THz generation and Generation of magnetic field etc. Since quantum plasma is a highly dispersive medium, phase matching conditions are not satisfied to make process resonant. If the process is made resonant, then the growth rate of generation of high harmonics increase much more than classical plasma. To enhance the harmonic generation in quantum plasma the wiggler field is used which provide the phase matching condition. The wiggler provides additional momentum to make process resonant, which leads to enhance the growth rate of generation of harmonics. In present work the generation of high harmonics due to propagation of intense laser pulses in magnetized quantum plasma is presented using quantum hydrodynamical model. The effects associated with the Fermi pressure, the Bohm potential and the electron spin have been taken into account. Wiggler magnetic field applied perpendicular to the direction of propagation, which plays both a dynamic role in producing the traverse harmonic current as well as kinematical role in ensuring phase-matching. Dispersion of the incident radiation and generation of its harmonics are studied. References 1. E. Esarey et al., IEEE Trans. Plasma Sci., 21, 95-104 (1993). 2. L. M. Goldman, W. Seka, K. Tanaka, R. Short,and A. Simon, Can. J. Phys. 64, 969-976 (1986). 3. M. Tabak, et al., Physics of Plasmas 1, 1626 (1994). 4. S. Son and N. J. Fisch, Phys. Rev. Lett. 95, 225002 (2005). . Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 91

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-09 Effect of Rotation on Rayleigh Taylor Instability of Magnetized Quantum Plasma Shraddha Argal 1, Anita Tiwari 2, Nusrat Khan3, P. K. Sharma 3 1SVIS, Indore, India 2Govt. College Kotma, Anuppur, India 3UIT BU, Bhopal, India e-mail: [email protected] The influence of Rotation on Rayleigh Taylor instability of incompressible, magnetized quantum plasmas is investigated. The quantum magnetohydrodynamic model is used to construct the basic equations and obtain the set of linearized equations of the problem. The general dispersion relation has been obtained by solving second order differential equation for the variable density with the help of normal mode method and discussed for the growth rate of Rayleigh Taylor instability. The effects of Rotation along with magnetic field and quantum effect have been investigated on the growth rate of Rayleigh Taylor instability and observed that the Rayleigh Taylor instability is more stabilized in presence of rotation and magnetic field with quantum plasmas. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 92

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-10 Behaviour of Electron Acoustic Solitary Waves in an Unmagnetized Quantum Plasma Containing Two Temperature Electrons S. Chandra1, T. Debnath2, S. S. Roy3, N. Mete4 1Department of Physics, Government General Degree College, Kushmandi, India 2Acharya Prafulla Chandra College (WBSU), West Bengal, India 3Jadavpur University, Jadavpur, West Bengal, India. 4Asutosh College (University of Calcutta), West Bengal, India e-mail: [email protected] Using one dimensional quantum hydrodynamic (QHD) model for quantum plasma having the electron acoustic waves (EAWs) the linear and non- linear properties of plasma waves are studied. The solitary structure of non-linearity has been studied with the help of standard reductive perturbation method. Using this standard reductive perturbation technique, the dispersion relation and the (KdV) or Korteweg–de-Vries equation, corresponding to the plasma have been derived and analysed numerically. We also discuss the time evolution of a forced KdV equation by using standard reductive perturbation technique and also, we study the dependency of solitary profile on various plasma parameters. References [1] B. Ghosh, S. Chandra and S. N. Paul, Pramana 78, 779 (2012). [2] S. Chandra and B. Ghosh, Astrophys. Space Sci. 342, 417 (2012). [3] S. Chandra, S. N. Paul and B. Ghosh, Indian J. Pure Appl. Phys. 50, 314 (2012). [4] S. Chandra, S. N. Paul and B. Ghosh, Astrophys. Space Sci. 343, 213 (2013). [5] S. Chandra and B. Ghosh, Indian J. Pure Appl. Phys. 51, 627 (2013). [6] B. Ghosh, S. Chandra and S. Paul, Phys. Plasmas 18, (2011). [7] K. Javidan and H. R. Pakzad, Indian J. Phys. 87, 83 (2013). [8] M. Akbari-Moghanjoughi and N. Ahmadzadeh-Khosro shahi, Pramana 77, 369 (2011). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 93

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India QP-11 Nonlinear Self-Gravito-Acoustic Waves In A Self-Gravitating Dense Plasma Kuldeep Singh, N. S. Saini 1Department of Physics, Guru Nanak Dev University, Amritsar, India-143005 e-mail: [email protected] The self-gravitating degenerate quantum plasma systems (SG-DQPSs) are completely different from other space and laboratory plasma systems not only because of their extraordinarily high density [1] (in astrophysical SG-DQPSs, e.g., white dwarfs and neutron stars [2] ) and laboratory viz., solid density plasmas and laser produced plasmas formed from solid targets irradiating by intense laser [3], but also because of associated new kind of waves and nonlinear structures [4,5] (e.g., solitary waves, shock structures, and double layers). A general realistic self-gravitating degenerate quantum plasma system (SG-DQPS) containing inertialess degenerate electron species, inertial degenerate light and heavy nucleus species is considered to study the existence of degenerate pressure driven self-gravito-acoustic (DPD-SGA) solitons in such a SG-DQPS. Reductive perturbation method is employed to study the small amplitude DPD-SGA Solitons [4,5]. The basic features (polarity, amplitude, and width) of DPD-SGA solitons are found to be significantly modified by the dynamics of heavy nucleus species. Further, the generation of DPD-SGA rogue waves (RWs) has been studied in the framework of rational solution of nonlinear Schrodinger equation. The dependence of the rogue wave profile on the relevant physical parameters has been discussed in detail. The theoretical investigation presented here is so general that it can be applied not only in astrophysical SG-DQPSs (such as white dwarf and neutron star SG-DQPSs), but also in laboratory SG-DQPSs (viz., solid density and laser produced SG-DQPSs) to identify the salient features of the DPD-SGA SWs formed in those environments. References [1] S. Chandrasekhar, Astrophys. J. 74, 81 (1931). [2] S. L. Shapiro, S. A. Teukolsky, B. Holes, W. Dwarfs, and N. Stars, The Physics of Compact Objects (Wiley-VCH Verlag, Weinheim, 2004). [3] R. H. Fowler, J. Astrophys. Astron. 15, 105 (1994). [4] A. A. Mamun, Phys. Plasmas 25 , 022307 (2018). [5] K. Singh, P. Sethi , N. S. Saini, Phys. Plasmas 26 , 092104 (2019) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 94

Space and Astrophysical Plasmas

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-01 Nonlinear Waves in Multi-ion Cometary Plasma with Kappa described Electrons Sijo Sebastian1, Manesh Michael2, Sreekala G3, C Venugopal4 1 Department of physics, St. Berchmans College, Changanassery, Kerala 686101, India 2 Department of Physics, Bharata Mata College, Kochi, Kerala 682021, India 3 Department of Physics, S D College, Alappuzha, Kerala 688003, India 4 School of Pure and Applied Physics, Mahatma Gandhi University, Kottayam, Kerala, India e-mail: [email protected] We investigated the nonlinear waves in a cometary multi-ion plasma composed of positively and negatively charged heavier and lighter ions, and colder and hotter electrons. Both the electrons are modelled by kappa distribution function. The reductive perturbation technique is used to derive KdV equations to describe the nonlinear plasma waves like solitary waves, shock and double layers. The solutions of nonlinear equations are plotted for different physical parameters relevant to cometary environment. From the plots it is found that different physical parameters significantly affect the stability of double layer and width and amplitude of solitary and strength of shock waves. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 95

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-02 Azimuthal Magnetic Field and Leakage of Field Free Matter from Different Optical Depths of UDs – 1 Umangkumar Pandya Shankersinh Vaghela Bapu Institute of Science, Gandhinagar, Gujrat, India Introducing the axial magnetic field (B), velocity, and velocity gradient retrieved from inversions of Stokes profiles, the role of azimuthal component of the magnetic field in the leakage of nearly field-free upcoming mass from different optical depths of PUDs and CUDs in sunspot umbra has been investigated. From the walls of the UDs columns, the coupling of an azimuthal component with axial magnetic field gave rise much more leakage of the upcoming mass at the top of optical depths (logτ500=-2.5) than at the bottom (logτ500=0) of PUDs and CUDs. Moreover, the leakage of mass is found to be more enhanced in PUDs than CUDs by a factor of 1.6 at the top (logτ500=-2.5) while at the bottom part it is almost the same in both. Electromagnetic displacement current unraveled leakage structuring of upcoming mass and is found to be typically more dynamic in PUDs than CUDs. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 96

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-03 Electrons The impact of electron inertia on megnetoradiative quantum plasma D L Sutar1 and R K Pensia2 1Department of Physics, Mewar University Gangrar, Chittorgarh 312901, Rajasthan, India 2Department of Physics, Govt. Girls P G College, Neemuch 458441, Madhya Pradesh, India e-mail: [email protected] Throughout this manuscript, we have studied the impact of electron inertia term on gravitational instability in the megnetoradiative quantum field. The study is carried out within the framework of the normal mode analysis technique, which has been altered due to the contribution of the electron inertia. The dispersion relation is simplified in the longitudinal and transverse propagation to the magnetic field. The term of instability is changed due to the presence of the magnetic field and electron inertia in the transverse mode of propagation. It is clear from the curve that electron inertia showing a destabilizing effect on the system. Still, the presence of a quantum parameter reduces the destabilizing effect of electron inertia and stabilizes the system. The relevance of our research will helps better understand the stellar evolution of solar plasma. References [1] S. P. Gary and R. L. Toker, Phys. Fluids, 28, 2439 (1985). [2] A. Danehkar, N. S. Saini, M. A. Hellberg and I. Kourakis, Phys. Plasmas, 18, 072902 (2011). [3] A. G. Khachatryan, Phys. Rev. E, 58, 7799 (1998). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 97

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-04 Two-temperature Advective Transonic Accretion Flows Around Black Holes Shilpa Sarkar, Indranil Chattopadhyay Aryabhatta Research Institute of Observational Sciences, Nainital -263001, India e-mail: [email protected] Accretion onto black holes are one of the most energetic processes happening in the Universe. This process provides us with the explanation of the huge amount of energy liberated and high luminosities observed in AGN's, X-ray binaries etc. Modeling of these accretion-flows is necessary to obtain a proper picture of the processes and phenomena going on. Since electrons are the ones which radiate via processes like synchrotron, bremsstrahlung and inverse-Compton scattering, therefore the electron gas and proton gas, present in the ionized plasma of the accretion disk, are supposed to settle down at two different temperatures, hence the name two-temperature. Not much work has been done in two-temperature accretion flows, so we addressed this problem in greater details in the pure general-relativistic regime. The problem with two-temperature flow is that, there is one more variable than the number of equations. Assuming axis-symmetry, we have four equations of motion, while there are five flow variables: velocity in radial (vr) and azimuthal direction (v������), electron temperature (Te), proton temperature (Tp) and density (������). Solving the equations of motion for a given set of constants of motion, we find that no unique solution exists unlike in the case of one-temperature flows or in other words the solutions are degenerate. So, for different combinations of the flow variables we get different kinds of transonic solutions with drastically different topologies, but for the same set of constants of motion. In addition, there is no known principle dictated by plasma physics which may constrain the relation between these two-temperatures in any of the boundaries. We removed the degeneracy with the help of second-law of thermodynamics. We show that only one of the solutions among all, has the maximum entropy and therefore is the correct solution, thus eliminating degeneracy. As far as we know no methodology of obtaining unique transonic two-temperature solutions has been reported so far in literature. This is the first time we have attempted towards obtaining the general-picture of the physical solutions. References [1] S. Sarkar, I. Chattopadhyay, Int. J. Mod. Phys. D, 28, 1950037 (2019). [2] S. Sarkar , I. Chattopadhyay, J. Phys.: Conf. Ser. 1336, 012019 (2019). [3] S. Sarkar, I. Chattopadhyay, P. Laurent, A&A (2020). DOI: 10.1051/0004- 6361/202037520. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 98

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-05 QCD Ghost Dark Energy Under the Purview of Modified Gravity Theory Surajit Chattopadhyay Affiliation Department of Mathematics, Amity University, Kolkata, India e-mail: [email protected] Accelerated expansion of the universe is well documented in the literature after analysis of nearby as well distant Supernovae Type Ia data. The cosmological constant, once abandoned by Einstein, has seen a resurgence of interest after the groundbraking discovery of the late time acceleration of the universe in 1998 [1,2]. In the present study we have presented a reconstruction scheme for f(T) gravity. A DE model, so-called Veneziano ghost DE (GDE), has been proposed in [3]. The key ingredient of this new model is that the Veneziano ghost, which is unphysical in the usual Minkowski spacetime quantum field theory (QFT), exhibits important physical effects in dynamical spacetime or spacetime with non-trivial topology. Veneziano ghost is supposed to exist for solving the U(1) problem in low-energy effective theory of QCD. Due to non-positivity of the squared sound speed as seen in the plots, both QCD ghost f(T) models are classically unstable against perturbations in flat Friedmann-Robertson-Walker backgrounds. This instability problem is consistent with the result presented for QCD ghost dark energy model by [4]. Also, in our current work we have reconstructed f(T) gravity based on QCD ghost dark energy and our equation of state parameter has been found to be above −1 and gradually tending to −1. References [1] A.G. Riess et al., Astron. J. 116, 1009 (1998). [2] S. Perlmutter, Astrophys. J. 517, 565 (1999). [3] F.R. Urban, A.R. Zhitnitsky, Phys. Lett. B 688, 9 (2010). [4] R. Garcia-Salcedo et al., Phys. Rev. D 88, 043008 (2013). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 99

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-06 The Ratio of Shear Viscosity over Entropy Density fall down for Viscous Dark Energy Accretion Sandip Dutta Department of Mathematics, The University of Burdwan, Golapbag Academic Complex, Purba Bardhaman-713104, West Bengal, India e-mail: [email protected] The universal lower bound of the ratio of shear viscosity to entropy density is suggested by the string the ory and gauge duality for any matter. We examine the ratio of shear viscosity to entropy density for viscous accretion flow towards a central gravitating object in the presence of dark energy. The ratio appears close to the universal lower bound for certain optically thin, hot accretion flows as they are embedded by strong magnetic field. Dark energy is a kind of exotic matter which has negative pressure. So dark energy creates repulsive force between the accreting particles, which indicates that shear viscosity of the flow becomes very low. Dark energy as accreting fluid has very high entropy density. The ratio should reach near to the lowest value for dark energy accretion. We wish to study what happens to the shear viscosity to entropy density ratio if viscous dark energy accreted towards the black hole. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 100

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-07 Magnetohydrodynamical stability of the Neutron stars under Dark Energy dominated universe Mayukh Bandyopadhyay Department of Physics, Bam Vivekananda P.T.T. College, Burdwan-713101 e-mail: [email protected] In this article anisotropic behavior of neutron stars with a wide range of mass distribution in strong energy condition in the background of f (T) modified gravity has been studied where T is a scalar torsion [1]. Quintessence field, as local impacts of cosmic acceleration upon the stars has also been investigated. The metric, derived by Krori, K.D. and Barua J. [2] with Reissner-Nordstrom metric [3] are compared to find out the different unknown parameters of this work. Some important parameters like anisotropic stress, adiabatic constant, surface redshift, compactness factor, dynamical-stability etc. are also analyzed to get a clear idea for the further study on these types of stars and to understand their nature. References [1] P. Saha, U. Debnath, Eur. Phys. J. C 79, 919 (2019). [2] K.D. Krori, J. Barua, J. Phys. A, Math. Gen. 8, 508 (1975). [3] F.I. Cooperstock, V. De La Cruz, Gen. Relati. Grav. 9(9), 835-843 (1978). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 101

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-08 Ion Acoustic Double Layers in a Six Component Cometary Plasma Manesh Michael1, S. Shilpa2, Sijo Sebastian3, Chandu Venugopal4 1 Department of Physics, Bharata Mata College, Kochi 682 021, Kerala, India. 2 International School of Photonics, Cochin University of Science and Technology, Kochi 682022, Kerala, India. 3Department of Physics, S.B. College, Changanacherry, Kerala, Kottayam, 686101 India 4School of Pure & Applied Physics, Mahatma Gandhi University, Kottayam 686 560, Kerala, India. e-mail: [email protected] The effect of pair ions on the formation and propagation characteristics of Ion-Acoustic (IA) double layer in a six-component cometary plasma composed of two hot and one colder electron component, hot ions, and heavier pair ions is studied [1]. The colder and one hotter component of electrons together with the lighter hydrogen ions are modelled by kappa distributions. The other hotter electron component is described by a q-nonextensive distribution. Both KdV and modified KdV equation are derived for the system and its solution plotted for parameters relevant to comet Halley. It is found that the strength of the double layer profile decreases with an increase of negatively charged oxygen ion densities and it decreases with a decrease of the positively charged oxygen ion densities. The depth of Sagdeev potential well decreases with an increase of negatively charged oxygen ion densities and it increases with an increase of positively charged oxygen ion densities. The variation of both quadratic and cubic nonlinearity with densities of heavier ions is also studied. References [1] G. Sreekala, M. Manesh, T. W. Neethu, V. Anu, S. Sijo, and C. Venugopal, Plasma Phys. Rep., 44, 102 (2018). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 102

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-09 A Model of Dark Energy to Predict Future Deceleration Promila Biswas Department of Mathematics, Golapbag Academic Campus, The University of Burdwan, Purba Barddhaman, West Bengal, India, 713104 e-mail: [email protected] Our universe is predicted to experience a late time cosmic acceleration since the late 1990’s observations of type Ia Supernovae. To justify such observational phenomena with theoretical support were intended to be built via the proposition of a hypothetical fluid which permeates all of our universe and exerts negative pressure. Cosmologists have prescribed many candidates for this exotic fluid so far. In this alley, a popular method is to choose time dependent equation of state parameter ������ = ������/������ and to parametrize it as a function of redshift. Again, some common families of such parametrizations are constructed among which different members justify different properties of the observed universe. Mainly, these were model dependent studies which comprises free parameters to be constrained by different observations. In this present article, a new expression for redshift parametrization has been considered and we have constrained its free parameters for two Hubble parameter vs redshift data sets. These data sets are obtained depending on two basic methodologies known as different ages method and baryonic acoustic oscillation method. Different confidence contours for our model are located under the constraints of said data sets. Besides, different thermodynamic parameters related to the evolution of our universe are analyzed. It is notified that our model indicates a delayed dark matter model which mimics EoS = -1 phenomena at the present epoch. Deceleration parameters behaviors are studied. Outcomes for both the data sets are compared with each other. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 103

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-10 Stability of Gyrogravitating Magnetized Complex Astroclouds with Cosmic Moderation Effects Pranamika Dutta, Pralay Kumar Karmakar Department of Physics, Tezpur University, Nappam-784028, Tezpur, Assam, India e-mail: [email protected] In the present investigation the linear instability excitation dynamics (low-frequency) in a complex, low-density, partially ionized gyrogravitating magnetized dust molecular cloud (DMC) is theoretically studied in a non-ideal magnetohydrodynamic (MHD) fabric [1-3]. The meanfluidic planar model microscopically consists of electrons, ions, and partially charged dust grains initially in a local magnetohydrostatic homogeneous equilibrium. The key dynamical realistic factors, such as the Coriolis rotation, viscosity and magnetic field diffusion (ambipolar) are concurrently included. The effects of cosmic rays and tidal force fields [1] are also concomitantly included. We use a standard technique of local plane-wave analysis over the basic governing equations structuring the DMC in a coupled integrated form [2-3]. It reduces the perturbed model into a unique mathematical construct of quartic dispersion relation. A numerical analysis constructed here shows mainly that the compressive tidal force acts as a destabilizing agency both in the viscid and inviscid fluid regimes by enhancing the instability growth. Besides, the magnetic field coupled together with the DMC rotation have stabilizing influences, and so on. The results investigated here could be valuable for seeing the initiation of the formation dynamics of different bounded structures in varied astrophysical and space environments. References [1] C. J. Jog, Monthly Notices of the Royal Astronomical Society Letters, 434, L56-L60 (2013). [2] P. K. Karmakar, and H. P. Goutam, New Astronomy, 61, 84-94 (2018). [3] H. Kamaya, and R. Nishi, Astrophysical Journal, 543, 257-270 (2000). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 104

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-11 Landau Damping of Ion Acoustic Waves in Super Thermal Multi-Ion Dope Plasma Sujay Kr. Bhattacharya1,2 S. Chattopadhyaya2 and Sailendra Nath Paul2,3 1Kalna Polytechnic, Kalna, Purba Bardhaman, West Bengal, Pin-713409, India 2East Kolkata Centre for Science Education & Research P-1,B. P.Township, Kol.-700094, India 3Department of Physics, Jadavpur University, Kolkata-700032, India e-mail: [email protected] The Landau damping of ion acoustic waves are studied in collisionless, unmagnetized, doped plasma with three inert gases, two heavy inert gases (say Argon and Neon) doped with a trace of light inert gas (say Helium), considering distribution function and all species of the plasma are assumed to be super thermal. The dope ion being lighter have higher mean thermal velocity and cause Landau damping. Landau damping has got its origin in the strong interaction between a plasma wave and the particles whose velocities are nearly equal to its phase velocity. Generally, non-Maxwellian velocity distributed plasmas have been observed in space and astrophysical plasma situations. The observed particles are found to have distribution of quasi-Maxwellian up to mean thermal velocities with non-Maxwellian supra-thermal tails at high velocities. The non-thermal plasmas are found to exist in the magnetospheres of the Earth, in planets, in the solar wind [1,2] etc. Paul et al. [3] investigated Landau damping in a doped plasma taking into account the collective effects of bound and free electrons. Therefore, it will be interesting to study the Landau damping effect of the ion acoustic wave in the presence of heavy inert gases doped with trace of light inert gas for unmagnetized, non-collisional, partially ionized, super thermal distribution of multi component plasma. If concentration of the dope is increased considerably, Landau damping ceases because phase velocity then exceeds thermal velocities of light gases. The damping rates of the ion-acoustic wave have been numerically estimated and graphically discussed. The damping rates of the electrostatic wave in multi-ion component plasmas are discussed in detail which depends on super thermal parameter, electron to ion temperature ratio, phase velocity to thermal velocity ratio, wave number etc. The numerical results are also shown by choosing some typical experimental parameters of multi-ion plasmas. References [1] M. Maksimovic, V. Pierrard, and J. F. Lemaire, Astron. Astrophys. 324, 725 (1997) [2] S. Zaheer, G. Murtaza, and H. A. Shah, Phys. Plasmas 11, 5 (2004) [3] S.N.Paul,C.Das,B.Paul, S.K.Bhattacharya and B.Chakraborty, FIZIKA A16, 91(2007) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 105

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-12 Effect of Finite Larmor Radius (FLR) corrections on thermal instability of thermally conducting viscous Plasma with Hall Currents and electron inertia Shweta Jain Physics Department, N.S.C.B. Govt. PG College, Biaora, M. P. - 465674, India e-mail: [email protected] The thermal Instability of an infinite homogeneous, thermally conducting and rotating plasma, incorporating finite electrical resistivity, finite electron inertia and arbitrary radiative heat-loss function in the presence of finite Larmor radius corrections and Hall currents has been studied. Analysis has been made with the help of linearized MHD equations; a general dispersion relation is obtained using normal mode analysis and the dispersion relation is discussed for longitudinal propagation and transverse propagation separately. The dispersion relation has been solved numerically to obtain the dependence of the growth rate on the various parameters involved. The conditions of modified thermal instability and stability are discussed in the different cases of interest. The implications of the result have been discussed for various astrophysical situations. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 106

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-13 Effects of Finite Larmor Radius Corrections and Uniform Rotation on the Gravitating Instability of Anisotropic Quantum Plasma S. Bhakta a R. K. Chhajlani b and R. P. Prajapatia , a Department of Pure & Applied Physics, Guru Ghasidas Central University, Bilaspur- 495009 (C.G.), India b Retired from School of Studies in Physics, Vikram University, Ujjain-456010 (M.P.), India e-mail: [email protected] In the single fluid MHD theory, the Larmor radii of the charged particle is generally considered to be zero. Therefore, the corresponding Larmor frequency of the ion is infinitely large. But, in many space and astrophysical situations such as interstellar clouds, solar prominence, earth’s space plasma region, astrophysical environments and localized structures in planetary nebula etc., the above approximation of zero Larmor radius and infinite Larmor frequency is not valid [1]. Thus, one should consider the finite Larmor radius (FLR) corrections in the fluid model. The influence of FLR corrections have been studied by several researchers in the instability analysis of both the isotropic and anisotropic pressure plasma [2-4]. Therefore, looking to the space and astrophysical applications, in the present work the combined influence of FLR corrections and uniform rotation on the gravitational instability of anisotropic quantum plasma have been investigated. The quantum magnetohydrodynamic (QMHD) model and Chew-Goldberger-Low (CGL) set of equations are used to formulate the model of the problem. The general dispersion relation is derived using normal mode analysis which is discussed in parallel and transverse wave propagations. The graphical illustrations show that FLR corrections have the destabilizing while the rotation has stabilizing influence on the growth rate of the anisotropic quantum plasma. The applications of the present work are discussed in astrophysical situation. References: [1] K. V. Roberts and J. B. Taylor, Phys. Rev. Lett. 8, 197 (1962). [2] P. A. Damiano, A. N. Wright and J. F. McKenzie, Phys. Plasmas 16, 062901 (2009). [3] P. K. Bhatia, Z. Astrophys. 69, 363 (1968). [4] P. Sharma, IEEE International Conference on Plasma Sciences (ICOPS), Antalya, Turkey (2015). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 107

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-14 Nonlinear Evolution of 3D Kinetic Alfvén Wave in the Presence of Background Density Fluctuations Anju Garg and R. P. Sharma Centre for Energy Studies, Indian Institute of Technology Delhi-110016, India e-mail: [email protected] Here, we investigate the nonlinear evolution of kinetic Alfvén wave (KAW) in the presence of background density fluctuations to understand the physics behind the coronal heating problem. Non uniform background density and ponderomotive nonlinearity have been taken into account to do the analysis. As a result, evolution pattern of 3D KAW is found to be changed for different level of background density fluctuations, which may ultimately affect the coronal heating. Resulting magnetic power spectrum for the different amplitude of background fluctuations has also been studied which gives the information about energy cascade and this turbulent energy cascade is found to follow Kolmogorov power law. Since Kolmogorov turbulence is considered as a strong candidate to heat the corona, the present investigation may be a possible mechanism to understand the heating of coronal loops. References [1] A. Hasegawa, L. Chen, Phys. Rev. Lett. 36,1362 (1976) [2] J. V. Hollweg, Astrophys. J. 277, 392 (1984). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 108

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-15 Adapted Waves in Self-gravitating Magnetized Viscoelastic Dusty Plasmas with Extreme Dust-fugacity Moderations D. Kalita, and P. K. Karmakar Department of Physics, Tezpur University, Napaam, 784028, Tezpur, Assam, India e-mail: [email protected] We present a theoretical model formalism developed to investigate the collective wave stability dynamics in a magnetized three-component dusty plasma with the non-thermal electrons and ions in the generalized hydrodynamic framework [1-3]. It mainly considers the effects of non-local self-gravity, non-thermal pressure, and dust-charge fluctuations in a spherical geometric configuration [2-3]. It principally aims to realize the evolutionary excitation dynamics of the Dust acoustic wave (DAW) and the Dust Coulomb Wave (DCW) in the adopted model in the extreme variation regimes of the dust fugacities [1-2] and viscoelasticities [3]. Accounting for the active geometric curvature effects [3], a spherical wave analysis accordingly yields a linear generalized normal dispersion relation subject to two distinct coupling limits. In the strongly coupled limit, a fair comparative analysis is drawn between the low- and high-fugacity regimes in the apt Maxwell-Boltzmann (MB) thermostatistical scenarios. It is seen that, in the low-fugacity (high-fugacity) regime, only the DAW (DCW) mode evolves in the MB limit; else, only the DCW (DAW) mode gets excited with a deviation from the usual MB thermal condition. Besides, in the low-fugacity (high-fugacity), the DAW (DCW) dominates with more destabilizing (stabilizing) influences. The latter, however, occurs at a relatively higher frequency against that found in the corresponding MB cases of the literature. It is pertinent to add that the DCW mode excitation in our complex self-gravitating non-thermal plasmas is a unique result as far as widely seen. The results investigated here can be useful to see the varied collective wave-kinetic phenomena relevant in expanded astronomic and space circumstances [1-5], such as the star-forming dense sites of the ISM, compact astroobjects, and surrounding enigmatical environments. References [1] N.N. Rao, Phys. Plasmas, 6, 4414 (1999). [2] N. N. Rao and F. Verheest, Phys. Lett. A, 268, 390 (2000). [3] D. Kalita and P. K. Karmakar, Phys. Plasmas, 27, 022902 (2020). [4] G. Livadiotis and D.J. McComas, Astrophys. J., 714, 971 (2010). [5] D. C. Nicholls, M. A. Dopita, R. S. Sutherland, Astrophys. J., 752, 148 (2012). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 109

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-16 Head-on Collision between Multi-Solitons in Electron Beam Plasma Sunidhi Singla, N. S. Saini Department of Physics, Guru Nanak Dev University, Amritsar-143005, India e-mail: [email protected] The study of non-Maxwellian plasma is pivotal in understanding the dynamics of nonlinear structures in space and astrophysical plasma environments. It has been indicated that the solar wind injects the electrons which drift in the upper layers of Earth’s magnetosphere. These electrons tend to perturb the magnetospheric plasma and hence give rise to nonlinear structures and transform the conditions for the existence of such nonlinear structures. Moreover, the observations of GEOTAIL spacecraft in the Earth’s auroral region identify that the broadband electrostatic noise in this region is associated with the nonlinear electrostatic solitary waves that might be related to the dynamics of electron beam instability. In this paper, we have studied the head-on collision between two ion-acoustic solitons (IASs) in an unmagnetized plasma which includes cold ion fluid, superthermal hot electrons, and penetrated by electron beam. By using the extended Poincaré-Lighthill–Kuo (PLK) perturbation method, two sided KdV equations and the analytical phase shifts are obtained. The Hirota direct method is employed to derive multi-soliton solutions for each KdV equation. These ion acoustic solitons head towards the opposite directions and eventually depart from each others after collision. The expressions for collisional phase shifts after head-on collision of two, four, and six IA solitons are derived under the effect of penetration of electron beam. The combined effects of the parameters of electron beam and variation in different physical parameters on trajectories after head on collision between multi IASs have been analyzed. It is remarked that beam components and other plasma parameters significantly influence the phase shifts and other properties of IASs in the given plasma system. The findings of this investigation might be useful to understand the propagation of ion acoustic structures in different space and astrophysical plasma environments penetrated by an electron beam. References [1] N. S. Saini and I. Kourakis; Plasma Phys. Control Fusion 52, 075009 (2010) [2] K. Singh, P. Sethi, and N. S. Saini; Phys. Plasmas 25, 033705 (2018) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 110

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-17 Magnetohydrodynamic Accretion onto Supermassive Black Holes Using Mukhopadhyay Pseudo Newtonian Potential Ritabrata Biswas Department of Mathematics, The University of Burdwan, Bardhaman-713104, West Bengal, India e-mail: [email protected] We construct a model of magnetohydrodynamic flow around a supermassive black hole using Mukhopadhyay pseudo Newtonian potential in place of general relativistic nonlinearity. In this work we have eight variables dependent on the radial distance, x, as the only independent variable. Though we have eight coupled differential equations too, we can not use all of them to determine the distinct differentiations of the eight variables. This is due to the fact that inclusion of vertical momentum balance equation forces to determine a very simple form of the dv/dx, which on its particular case does not match with the previous works where magnetic fields are not considered. So we have changed our system in a bit of a tricky way. Solutions are analyzed physically. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 111

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-18 Influence of Surface Tension on Combined Rayleigh Taylor and Kelvin Helmholtz Instability Rahul Banerjee1 1St. Paul’s Cathedral Mission College, Kolkata, India e-mail: [email protected] When two different density fluids are divided by an interface, the interface becomes unstable with exponential growth under the action of a constant acceleration or under the action of relative velocity shear of two fluids. These two types of instabilities are known as Rayleigh-Taylor and Kelvin-Helmholtz instabilities, respectively. Temporal development of nonlinear structure of the interface consequent to Rayleigh-Taylor or Kelvin-Helmholtz instability is of much current interest both from theoretical and experimental points of view. The nonlinear structure is called a bubble if the lighter fluid penetrates across the unperturbed interface into the heavier fluid and a spike if the opposite takes place. The instabilities arise in connection with a wide range of problems ranging from direct or indirect laser driven experiments in the ablation region at compression front during the process of inertial confinement fusion to mixing of plasmas in space plasma systems, such as boundary of planetary magnetosphere, solar wind and cluster of galaxies. Using extended Layzer's[1] potential flow model, we investigate the effects of surface tension on the growth of the bubble and spike in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. Here we describe the formation of the structure using an expansion near the tip of the bubble or the spike up to second order in the transverse coordinates in two-dimensional motion. The nonlinear asymptotic solutions are obtained analytically for the velocity and curvature of the bubble and spike tip. We find that the surface tension decreases the velocity but does not affect the curvature provided surface tension is greater than a critical value. For a certain condition we observe that surface tension stabilized the motion. Any perturbation, whatever be its magnitude, results is stable with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of two fluids. The pattern of amplitude and period of oscillation for spike are identical to that for the bubble. References [1] D. Layzer, Astrophys. J., 1, 120(1954). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 112

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-19 Hall Effect Thruster Technology- Introduction Saty Prakash Bharti and Sukhmander Singh Department of Physics, Central University of Rajasthan, Ajmer, Kishangarh- 305817, India e-mail: [email protected] In Hall Effect Thruster devices use a magnetic field to inhibit axial movement of the electrons, using then for propellant ionization, accelerate the ions effeciently to generate thrust and the ions are neutralizing in the plume. Hall thrusters have an exhaust velocity of the order 10-15km/Sec which is greater than generated from chemical thrusters [1]. Electric propulsion technology is used for satellite orbit transfer maneuvers and interplanetary journeys of robotic space probes. Which is mainly used in Satellites that Earth-Orbiting and robotic vehicles it can be also used in deep space. In this paper, we have reviewed the history of HET and their future technological advantages. Hall thrusters are being developed by the USA, Russia, Europe, and Asia [2,3]. The Indian Space Research Organization is also working to develop an electric propulsion system with a higher thrust level, which can reduce the dependence on chemical propellant. NASA’s Glenn Research Center have been developed a new technology to improve a HET operating lifetime. References [1] Sutton G. and Biblarz O., Rocket Propulsion Elements (New York: Wiley), 2010. [2] Stuhlinger E.,Ion Propulsion for Space Flight (New York: McGraw-Hill), 1964. [3] Jahn R., Physics of Electric Propulsion (New York: McGraw-Hill) (reprinted by Dover), 1968. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 113

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-20 Energy Transfer from Kinetic Alfvén Wave to H+, He+ and O+ Ions in PSBL Region Radha Tamrakar1, P. Varma2, M. S. Tiwari2 1Department of Physics, Govt. Kamla Nehru Mahila Mahavidyalaya, Damoh, M.P., India. 2Department of Physics, Dr. H. S. Gour University, Sagar, M.P., India. e-mail: [email protected] Kinetic Alfvén waves are studied in plasma consisting of H+, He+ and O+ ions. Kinetic approach is used to derive the expression of damping rate of wave. The loss-cone distribution function is used to develop the mathematical model. Graphical interpretation of results is performed for parameters relevant to plasma sheet boundary layer region. Figures are exhibited with respect to for J=1 and J=2. The results show that the narrowing width of loss-cone limits the existence of wave towards higher perpendicular wavelength. Ion –gyroradius of each ion is significant for damping of wave with varying density of corresponding ions. This study may be useful in understanding the effect of multi-ions in transferring energy from distant tail towards auroral ionosphere. References [1] R. Tamrakar, P. Varma and M. S. Tiwari, Astrophys Space Sci., 363, 221 (2019). [2] J. R. Wygant, et al., J. Geophys. Res., 107 (A8) 1201 (2002). [3] R. C. Davidson, In: M. N. Rosenbluth, R. Z. Sagdeev, (eds.) Handbook of Plasma Physics- Basic Plasma Physics, Vol. 1, pp. 521-525, North Holland, Amsterdam, (1983). Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 114

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-21 Shock Waves in Dense Astrophysical Plasma Rajneet Kaur, K. Singh, N. S. Saini Department of Physics, Guru Nanak Dev University, Amritsar -143005, India e-mail: [email protected] There has been a large interest in studying the relativistic degenerate dense plasmas due to its existence in interstellar compact objects, such as white dwarfs, neutron stars etc. The existence of heavy elements (positively and negatively charged) is found to form in a prestellar stage of the evolution of the universe, when whole matter was compressed to extremely high densities [1,2]. To the best of our knowledge, the characteristics of shock waves governed by nonlinear Korteweg-de Vries-Burgers (KdVB) equation in compact astrophysical plasma having heavy nucleus fluids with degenerate ultra-relativistic light nucleus and electrons with prominent rotational effects have not been studied yet. We have investigated heavy nucleus-acoustic (HNA) shock waves in a degenerate relativistic magneto-rotating quantum plasma (DRMQP) system containing relativistically degenerate electrons and light nuclei, and non-degenerate mobile heavy nuclei. Employing reductive perturbation method, KdVB equation is derived. Only positive potential HNA shock waves have been found in consonance with the satellite observations. It is observed that the heavy nucleus viscosity is a source of dissipation, and is responsible for the formation of HNA shock structures. It is shown that the combined effects of external magnetic field strength, rotational frequency, viscosity and obliqueness significantly modify the propagation properties of the HNA shock waves. The results of this investigation may be useful in understanding the nonlinear excitations in degenerate relativistic magnetorotating quantum plasma which is found in astrophysical compact objects especially white dwarfs and neutron stars [1-3]. References [1] S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Wiley-VCH Verlag, Weinheim, 2004). [2] D. Koester, Astron. Astrophys. Rev. 11, 33 (2002). [3] K. Singh, P. Sethi, NS Saini, Phys. Plasmas, 26, 092104 (2019) Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 115

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India SA-22 Study of Double Layer and Solitary Structures in Inner Ionospheric Plasma Jit Sarkar1, Jyotirmoy Goswami1, Swarniv Chandra2 and Basudev Ghosh1 1Department of Physics, Jadavpur University, Kolkata, WB 2Govt. General Degree College at Kushmandi, Dakshin Dinajpur, WB e-mail: [email protected] In this paper, we consider ionospheric plasma consisting of weakly degenerate electrons and heavy ions. We embrace our hydrodynamic model by including the quantum diffraction term. By employing Sagdeev's pseudo-potential method, we obtain double layers and soliton structure. We have studied the various parametric dependence of solitary structures and double layers. The results thus obtained might be helpful in the studies of many high energy astrophysical phenomena. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 116

International e-Conference on Plasma Theory and Simulations (PTS-2020), September 14 & 15, 2020, Bilaspur, India LP-11 Shock Fronts in Dense Laser-Produced Fermi Plasma Jyotirmoy Goswami1, Jit Sarkar1, Swarniv Chandra2 and Basudev Ghosh1 1Department of Physics, Jadavpur University, Kolkata, WB 2Govt. General Degree College at Kushmandi, Dakshin Dinajpur, WB e-mail: [email protected] The theoretical investigation of shocks in a dense quantum plasma containing electrons at finite temperature, non-degenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered the effect of the collisional force on the plasma. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects. Department of Pure and Applied Physics Guru Ghasidas Central University, Bilaspur (C.G.)-495009, India 117

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