PTS-2020_Abstract_Book

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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A 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 Vishwavidyalaya (A Central University), Bilaspur (C.G.)-495009, India 117

Department of Pure & Applied Physics Guru Ghasidas Vishwavidyalaya (A Central University) Bilaspur (C. G.) India Website: www.ggu.ac.in