2016
DOI: 10.1017/s0022377816001100
|View full text |Cite
|
Sign up to set email alerts
|

Modelling of relativistic ion-acoustic waves in ultra-degenerate plasmas

Abstract: We consider the relativistic ion-acoustic mode in a plasma composed by cold ions and an ultradegenerate electron gas, described the relativistic Vlasov-Poisson system. A critical examination of popular fluid models for relativistic ion-acoustic waves is provided, comparing kinetic and hydrodynamic results. The kinetic linear dispersion relation is shown to be reproduced by the rigorous relativistic hydrodynamic equations with Chandrasekhar's equation of state.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

1
15
0

Year Published

2017
2017
2024
2024

Publication Types

Select...
9

Relationship

2
7

Authors

Journals

citations
Cited by 16 publications
(16 citation statements)
references
References 30 publications
1
15
0
Order By: Relevance
“…where n 0 is the equilibrium electron number density,h is the reduced Planck constant, and p F =h(3π 2 n 0 ) 1/3 is the electron Fermi momentum, yielding the specific enthalpy H = dP/(m e c 2 n e ) = 1 + ζ 2 , responsible for the relativistic electron mass increase due to a high Fermi velocity. It is important to note that the Chandrasekhar equation of state gives a linear dispersion for ion-acoustic waves in the absence of neutrinos, which agrees with the result from the relativistic Vlasov equation, in the long-wavelength limit [17]. In addition, magnetized plasmas can be treated by simply including the magnetic force on electrons and ions [15].…”
Section: Basic Modelsupporting
confidence: 73%
“…where n 0 is the equilibrium electron number density,h is the reduced Planck constant, and p F =h(3π 2 n 0 ) 1/3 is the electron Fermi momentum, yielding the specific enthalpy H = dP/(m e c 2 n e ) = 1 + ζ 2 , responsible for the relativistic electron mass increase due to a high Fermi velocity. It is important to note that the Chandrasekhar equation of state gives a linear dispersion for ion-acoustic waves in the absence of neutrinos, which agrees with the result from the relativistic Vlasov equation, in the long-wavelength limit [17]. In addition, magnetized plasmas can be treated by simply including the magnetic force on electrons and ions [15].…”
Section: Basic Modelsupporting
confidence: 73%
“…We note that in above dispersion relation, the quantum effects (like recoil and pair creation) are neglected [30,32,33].…”
Section: Introductionmentioning
confidence: 99%
“…To study the problem of the nonlinear self-guiding of the EM beam in a highly transparent electron plasma we apply Eqs. (1)(2)(3)(4), which for the generalized momentum Π =Gp and relativistic factor Γ = Gγ reduce to the following set of dimensionless equations…”
Section: Main Considerationmentioning
confidence: 99%