Effect of orbital angular momentum on electron acoustic waves in double‐Kappa plasma

Rehman, Aman‐ur; Shan, S. Ali; Hamza, Muhammad; Lee, J. K.

doi:10.1002/2016ja023627

Cited by 23 publications

(6 citation statements)

References 38 publications

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“…The -distribution function can be used for 1 Interpretation of the Earth's foreshock (3 < e < 6), [44] 2 Understanding of solar wind for the electrons and protons, trickling out of the solar corona (2 < e < 6), [45,46] 3 Description of the "Superthermal" plasma behaviour in laser-matter interactions. [47] The one-dimensional Kappa distribution function is: [48][49][50]…”

Section: Basic Set Of Equationsmentioning

confidence: 99%

“…The one‐dimensional Kappa distribution function is:

f_{κe} (v) = \frac{n_{normale 0}}{{({π κ θ}_{e}^{2})}^{3 false/ 2}} \frac{Γ (κ + 1)}{Γ (κ - 1 / 2)} {((), 1 + \frac{v_{normale}^{2}}{{κ θ}_{normale}^{2}})}^{- (κ + 1)},

where n e0 is the electron number density,

θ_{normale}^{2} = ((κ - 3 / 2) / κ) 2 K_{normalB} T_{normale} / m_{normale}

is the effective thermal speed that is modified by κ , T e is the electron kinetic temperature, m e is the electron mass, Γ is the gamma function, and

v_{normale} = \sqrt{v_{x}^{2} + v_{y}^{2} + v_{z}^{2}}

. Integration of Equation (5) over d 3 v e gives the electron number density as

n_{normale} = n_{e 0} {([], 1 - \frac{italice φ}{((), κ - 3 false/ 2) K_{B} T_{e}})}^{- κ + 1 / 2} .

…”

Section: Basic Set Of Equationsmentioning

confidence: 99%

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Double layers in an inhomogeneous magnetized bi‐ion plasma

Shan

Saleem

2019

Contributions to Plasma Physics

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A simpler analytical approach is employed to obtain energy integral equation for a pseudo‐particle in a pseudo‐potential, which admits double layer (DL) solutions for the non‐linear low‐frequency electrostatic perturbations in non‐uniform plasma consisting of electrons and two kinds of ions. One of the ion species has field‐aligned shear flow and electrons are superthermal kappa distributed. This theoretical model is applied to the upper ionospheric oxygen‐dominated plasma that has small concentration of protons along with upward flow of oxygen ions. Under suitable boundary conditions, both rarefactive (density dip) and compressive (density hump) DLs are obtained solving energy integral equation using the plasma parameters of ionosphere around altitude of 800 km. The amplitude and width of the DLs depend upon the scale lengths of density and temperature gradients as well as on the ratio of equilibrium densities of oxygen and hydrogen.

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Section: Basic Set Of Equationsmentioning

confidence: 99%

“…The one‐dimensional Kappa distribution function is:

f_{κe} (v) = \frac{n_{normale 0}}{{({π κ θ}_{e}^{2})}^{3 false/ 2}} \frac{Γ (κ + 1)}{Γ (κ - 1 / 2)} {((), 1 + \frac{v_{normale}^{2}}{{κ θ}_{normale}^{2}})}^{- (κ + 1)},

where n e0 is the electron number density,

θ_{normale}^{2} = ((κ - 3 / 2) / κ) 2 K_{normalB} T_{normale} / m_{normale}

is the effective thermal speed that is modified by κ , T e is the electron kinetic temperature, m e is the electron mass, Γ is the gamma function, and

v_{normale} = \sqrt{v_{x}^{2} + v_{y}^{2} + v_{z}^{2}}

. Integration of Equation (5) over d 3 v e gives the electron number density as

n_{normale} = n_{e 0} {([], 1 - \frac{italice φ}{((), κ - 3 false/ 2) K_{B} T_{e}})}^{- κ + 1 / 2} .

…”

Section: Basic Set Of Equationsmentioning

confidence: 99%

Double layers in an inhomogeneous magnetized bi‐ion plasma

Shan

Saleem

2019

Contributions to Plasma Physics

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“…Besides, some other works related to the EAWs have been studied by the kappa distributions. [31][32][33][34] In this paper, we will show that the weakly damped EAWs can propagate in plasmas consisting of two kappa-distributed electrons and static ions. The temperatures of the twoelectron components can be the same, but the kappa indices must be different.…”

Section: Introductionmentioning

confidence: 98%

The electron acoustic waves in plasmas with two kappa-distributed electrons at the same temperatures and immobile ions

Guo

2021

Preprint

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The linear electron acoustic waves propagated in plasmas consisting of two kappadistributed electrons and stationary ions are investigated. The temperatures of the two electrons are assumed to be the same, but the kappa indices are not. It shows that if one kappa index is small enough and the other one large enough, a weak damping regime of the electron acoustic waves exists. The dispersion and damping rate are studied numerically. The parameter spaces for the weakly damped electron acoustic waves are analyzed. Besides, the electron acoustic waves in the present model are compared with those in the plasmas with two-temperature electrons. At last, we perform the Vlasov-Poisson simulations to verify the theory.

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“…[8] This study demonstrated that the growth rate is enhanced with increasing target pair ion densities and electronic flow speed, while it reduces with streaming ion densities. [19,20] In the present work, we employ a Vlasov-Poisson kinetic model to investigate a twisted IA wave instability in a permeating plasma with finite OAM. A solar wind plasma streams through a cometary plasma in the presence of interstellar dust component to add to the complexity and gives rise to low-frequency unstable modes.…”

Section: Introductionmentioning

confidence: 99%

Kinetic instability of twisted excitations in permeating plasma environments

Bukhari

Khan

Ali

2018

Contributions to Plasma Physics

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Twisted ion-acoustic excitations and the existence of kinetic instability are investigated in this study, accounting for finite orbital angular momentum states. For this purpose, a quasi-neutral electron-ion plasma is considered, which permeates through another (target) plasma. The Vlasov-Poisson model is used to obtain explicit expressions for wave dispersion and kinetic instability, including the contributions from the orbital angular momentum. It is shown that the existence of instability is a result of the exceeding electron speed as compared to the ion-acoustic speed, with a strong contribution of twist in the wave. Furthermore, it is found that a planner ion-acoustic wave propagates as a slow wave in comparison with the non-planar (twisted) wave. The results are analysed numerically for typical plasmas found in space and astrophysical environments.

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Effect of orbital angular momentum on electron acoustic waves in double‐Kappa plasma

Cited by 23 publications

References 38 publications

Double layers in an inhomogeneous magnetized bi‐ion plasma

Double layers in an inhomogeneous magnetized bi‐ion plasma

The electron acoustic waves in plasmas with two kappa-distributed electrons at the same temperatures and immobile ions

Kinetic instability of twisted excitations in permeating plasma environments

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