Oblique shock waves in a two electron temperature superthermally magnetized plasma

Bains, A. S.; Panwar, Anuraj; Ryu, Chang‐Mo

doi:10.1007/s10509-015-2530-1

Cited by 14 publications

(9 citation statements)

References 41 publications

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“…In this section, we shall explore the dependence of IA shock waves on the relevant plasma parameters, taken typically for Saturn's Magnetosphere, [52,53] where the two electron population having kappa distribution has been observed, [18,19] and also been verified by various satellite missions. [20] The parameters for number densities, temperatures are chosen, respectively as, n c = 0.085/cm 3 , n h = 0.58/cm 3 , n i = 0.665/cm 3 , T c = 32 eV, T h = 655 eV, T i = 8 eV, c = 2-6, and Ω c = 0.6.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…To derive the linear phase velocity of IAW, we re-arrange Equation (19) by using Equations (16)- (18) and (20) to write…”

Section: Derivation Of Zkb Equationmentioning

confidence: 99%

“…[14][15][16][17] More recently, the two-electron population having kappa distribution has been reported. [18,19] The data from CAPS/ELS and MIMI/LEMMS satellites revealed that the Saturn plasmas gives best fit by two types of electrons that have different temperatures and follow the kappa distribution. [20] The rotating flows of electrically conducting fluids have been realized in cosmic and geophysical fluid dynamics.…”

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confidence: 99%

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Nonlinear ion acoustic waves in dissipative and dispersive magneto‐rotating relativistic plasmas with two temperature superthermal electrons

Abbasi

Masood

Khan

et al. 2020

Contributions to Plasma Physics

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A study has been presented for the nonlinear features of ion-acoustic (IA) shock waves in a magnetorotating plasma consisting of warm viscous streaming ions along with kappa-distributed electrons having two different temperatures. In this regard, we have employed the reductive perturbation technique to derive the Zakharov-Kuznetsov-Burgers (ZKB) equation that governs the dynamics of IA shock waves. The solution obtained by the hyperbolic tangent method has been shown to depend on various plasma parameters such as spectral index (c), density fraction (f), effective rotation frequency (Ω c), ion kinematic viscosity (o), and temperature ratio (). In the limiting case when dissipative coefficient D → 0, we have also examined the solitary potential distributions, which are the solutions of Zakharov Kuznetsov (ZK) equation. It is found that both rarefactive and compressive structures exist for the system under consideration. The transition in the nature of such profiles is due to the enhancement in the density of cold electrons. The importance of present theoretical investigations has been carried out with regard to Saturn's magnetosphere, where two temperature superthermal electron populations have been observed by various satellite missions. K E Y W O R D S ion acoustic waves, kappa distribution, nonthermal plasma, shocks/solitons, two electron thermal population 1 INTRODUCTION Ion acoustic waves (IAW) are one of the fundamental low-frequency modes in a plasma and are associated with plasma compression during their propagation. [1,2] Various plasmas allow propagation of several types of nonlinear waves, e.g. solitons and shocks. [3,4] The former can trap plasma particles and cause a redistribution of energy and momentum. These structures arise due to the interplay between wave dispersion and nonlinearity as described by the Korteweg de Vries (KdV) equation. The system becomes more interesting in the presence of dissipation and, for weakly nonlinear 1-D systems, is depicted by Korteweg-de Vries-Burgers (KdVB) Equation. [5,6] Such dissipation is mainly caused by interparticle collisions, ion kinematic viscosity, and/or wave-particle interaction. The dissipation term is often recognized as the Burgers term and supports formation of shock waves. [7-12]

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…To derive the linear phase velocity of IAW, we re-arrange Equation (19) by using Equations (16)- (18) and (20) to write…”

Section: Derivation Of Zkb Equationmentioning

confidence: 99%

mentioning

confidence: 99%

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Nonlinear ion acoustic waves in dissipative and dispersive magneto‐rotating relativistic plasmas with two temperature superthermal electrons

Abbasi

Masood

Khan

et al. 2020

Contributions to Plasma Physics

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“…The external magnetic field has been considered to investigate the electrostatic shock [20][21][22] and solitary [23,24] waves in plasmas. Hossen et al [22] examined the IASHWs in the presence of an external magnetic field, and highlighted that the amplitude of IASHWs increases when increasing the angle between the wave propagation vector and the direction of the external magnetic field (via δ).…”

Section: Introductionmentioning

confidence: 99%

Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma

Jahan

Sharmin

Chowdhury

et al. 2021

Plasma

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A theoretical investigation has been carried out to examine the ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system containing inertialess ultra-relativistically degenerate electrons, and inertial non-relativistic positively charged heavy and light ions. The Burgers equation is derived by employing the reductive perturbation method. It can be seen that under the consideration of non-relativistic positively charged heavy and light ions, the plasma model only supports the positive electrostatic shock structure. It is also observed that the charge state and number density of the non-relativistic heavy and light ions enhance the amplitude of IASHWs, and the steepness of the shock profile is decreased with ion kinematic viscosity. The findings of our present investigation will be helpful in understanding the nonlinear propagation of IASHWs in white dwarfs and neutron stars.

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“…The external magnetic field can significantly change the shape of the nonlinear electrostatic excitations [34,35,36]. Hossen et al [34] observed that the magnitude of the amplitude of positive and negative electrostatic shock structures increases with the oblique angle (δ) which arises due to the external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

Heera

Akter

Tamanna

et al. 2021

Preprint

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A theoretical investigation has been made on the propagation of ion-acoustic (IA) shock waves (IASHWs) in a magnetized pair-ion plasma having inertial warm positive and negative ions, and inertialess super-thermal electrons and positrons. The well known Burgers' equation has been derived by employing the reductive perturbation method. The plasma model supports both positive and negative shock structures under consideration of super-thermal electrons and positrons. It is found that the oblique angle (δ) enhances the magnitude of the amplitude of both positive and negative shock profiles. It is also observed that the steepness of the shock profiles decreases with the kinematic viscosity of the ion, and the height of the shock profile increases (decreases) with the mass of the positive (negative) ion. The implications of the results have been briefly discussed for space and laboratory plasmas.

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Oblique shock waves in a two electron temperature superthermally magnetized plasma

Cited by 14 publications

References 41 publications

Nonlinear ion acoustic waves in dissipative and dispersive magneto‐rotating relativistic plasmas with two temperature superthermal electrons

Nonlinear ion acoustic waves in dissipative and dispersive magneto‐rotating relativistic plasmas with two temperature superthermal electrons

Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma

Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

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