Nonlinear oscillatory and monotonic shocks in dense plasmas with ultra-relativistic degenerate electrons

Hussain, S.; Rehman, Aman‐ur; Hasnain, H.; Mustafa, Naeem

doi:10.1007/s10509-015-2479-0

Cited by 6 publications

(2 citation statements)

References 21 publications

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“…The expansions used are given as

n_{c} = 1 + ϵ n_{c}^{false(1 false)} + ϵ^{2} n_{c}^{false(2 false)} + ⋯

u_{c x} = ϵ^{2} u_{c x}^{false(1 false)} + ϵ^{3} u_{c x}^{false(2 false)} + ⋯

u_{c y} = ϵ^{\frac{3}{2}} u_{c y}^{false(1 false)} + ϵ^{\frac{5}{2}} u_{c y}^{false(2 false)} + ⋯

u_{c z} = ϵ^{1} u_{c z}^{false(1 false)} + ϵ^{2} u_{c z}^{false(2 false)} + ⋯

ϕ = ϵ ϕ^{false(1 false)} + ϵ^{2} ϕ^{false(2 false)} + ⋯

η_{c false‖} = ϵ^{\frac{1}{2}} η_{c false‖ o}

η_{c ⊥} = ϵ^{\frac{1}{2}} η_{c ⊥ o}

Due to anisotropy induced by external magnetic field, the parallel component of fluid electron u cz is stronger than the perpendicular components u cx and u cy . This effect is noticeable from the powers of the ϵ , that is, u cz , that contain lower power of ϵ as compared to u cx and u cy (Hussain et al, )...…”

Section: Derivation Of Kdv‐burgers Equationmentioning

confidence: 99%

Effect of Anisotropic Pressure on Electron Acoustic Oscillatory and Monotonic Shocks in Superthermal Magnetoplasma

Singh

Saini

2019

Radio Science

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Nonlinear oscillatory and monotonic electron acoustic shock waves in dissipative magnetorotating electron-positron-ion plasmas containing cold dynamical electrons, superthermal electrons, and positrons have been analyzed in the stationary background of massive positive ions. The Korteweg de-Vries-Burgers equation which describes the dynamics of the nonlinear shock structures is derived by using amplitude reductive perturbation technique. The quantitative analysis of impact of different physical parameters on the shock structures is presented here. The electron fluid viscosity plays a pivotal role for the transition of electron acoustic (EA) monotonic to oscillatory shocks and vice versa. It is remarkable that the shock structures are sensitive to the Coriolis force, obliqueness, electron temperature, and the positrons concentration. The present work may be employed to explore and to understand the formation of electron acoustic shock structures in the space and laboratory plasmas with superthermal electrons and positrons under magnetorotating effects, especially in auroral zone, Van Allen radiation belts, planetary magnetospheres, pulsars, black-hole magnetospheres, etc.

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“…The expansions used are given as

n_{c} = 1 + ϵ n_{c}^{false(1 false)} + ϵ^{2} n_{c}^{false(2 false)} + ⋯

u_{c x} = ϵ^{2} u_{c x}^{false(1 false)} + ϵ^{3} u_{c x}^{false(2 false)} + ⋯

u_{c y} = ϵ^{\frac{3}{2}} u_{c y}^{false(1 false)} + ϵ^{\frac{5}{2}} u_{c y}^{false(2 false)} + ⋯

u_{c z} = ϵ^{1} u_{c z}^{false(1 false)} + ϵ^{2} u_{c z}^{false(2 false)} + ⋯

ϕ = ϵ ϕ^{false(1 false)} + ϵ^{2} ϕ^{false(2 false)} + ⋯

η_{c false‖} = ϵ^{\frac{1}{2}} η_{c false‖ o}

η_{c ⊥} = ϵ^{\frac{1}{2}} η_{c ⊥ o}

Section: Derivation Of Kdv‐burgers Equationmentioning

confidence: 99%

Effect of Anisotropic Pressure on Electron Acoustic Oscillatory and Monotonic Shocks in Superthermal Magnetoplasma

Singh

Saini

2019

Radio Science

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“…where 𝜖 is a small expansion parameter which characterizes the strength of nonlinearity, and 𝜆 is the phase velocity of the wave. We expand the perturbed quantities 𝑁 , 𝑛, 𝑉 i𝑥 , 𝑣 e𝑦 , 𝐵 𝑧 in terms of the smallness parameter 𝜖 as follows: (17) while for 𝑉 i𝑦 , 𝑣 e𝑦 , 𝐸 𝑥 , we have…”

mentioning

confidence: 99%

Magnetosonic Shocks in Ultra-Relativistic Dissipative Degenerate Plasmas

Hussain

Akhtar

Mustafa

2016

Chinese Phys. Lett.

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Magnetosonic shock structures in dissipative magnetized degenerate electron ion plasma are studied. The two fluid quantum magnetohydrodynamic equations for non-degenerate ions and ultra-relativistic degenerate electron fluids with the Maxwell equations are presented. Using the reductive perturbation technique the Korteweg de Vries Burgers (KdVB) equation is derived and its solution is presented with the tanh method. Astrophysical plasma parameters are used to study the effects of variation of plasma density, magnetic field intensity and kinematic viscosity on the propagation characteristics of nonlinear shock structures in such plasma systems.

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Barometric Formula for Ultrarelativistic Degenerate Fermi-Gases

Дубинов

2020

Astrophysics

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Nonlinear oscillatory and monotonic shocks in dense plasmas with ultra-relativistic degenerate electrons

Cited by 6 publications

References 21 publications

Effect of Anisotropic Pressure on Electron Acoustic Oscillatory and Monotonic Shocks in Superthermal Magnetoplasma

Effect of Anisotropic Pressure on Electron Acoustic Oscillatory and Monotonic Shocks in Superthermal Magnetoplasma

Magnetosonic Shocks in Ultra-Relativistic Dissipative Degenerate Plasmas

Barometric Formula for Ultrarelativistic Degenerate Fermi-Gases

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