On the spectrum of plasma modes in a field-free pair plasma: Dispersion and Landau damping in Tsallis statistics

2018 ◽  
Vol 490 ◽  
pp. 289-299 ◽  
Author(s):  
E. Saberian
Keyword(s):  
Landau Damping ◽  
Tsallis Statistics ◽  
Pair Plasma ◽  
Plasma Dispersion ◽  
Free Pair

Wave kinetic description of quantum pair plasmas

2008 ◽  
Vol 74 (1) ◽  
pp. 91-97 ◽  
Author(s):  
J. T. MENDONÇA ◽  
J. E. RIBEIRO ◽  
P. K. SHUKLA
Keyword(s):  
Dispersion Relation ◽  
Classical Limit ◽  
Landau Damping ◽  
Quantum Plasma ◽  
Kinetic Description ◽  
Electrostatic Waves ◽  
Pair Plasma ◽  
Electron Positron ◽  
Two Component ◽  
Electron Positron Pair

AbstractThe dispersion relation for a quantum pair plasma is derived, by using a wave kinetic description. A general form of the kinetic dispersion relation for electrostatic waves in a two-component quantum plasma is established. The particular case of an electron–positron pair plasma is considered in detail. Exact expressions for Landau damping are derived, and the quasi-classical limit is discussed.

Cyclotron effects on wave dispersion in pulsar plasmas

2000 ◽  
Vol 64 (4) ◽  
pp. 333-352 ◽  
Author(s):  
M. P. KENNETT ◽  
D. B. MELROSE ◽  
Q. LUO
Keyword(s):  
Low Frequency ◽  
Wave Dispersion ◽  
One Dimensional ◽  
Pair Plasma ◽  
Electron Positron ◽  
Light Line ◽  
The Mean ◽  
Plasma Dispersion ◽  
Electron Positron Pair ◽  
Relativistic Particles

Dispersion in an intrinsically relativistic, one-dimensional, electron–positron pair plasma (a pulsar plasma) is treated exactly, generalizing earlier results that applied in the low-frequency limit and that neglected the cyclotron resonance. The general theory involves two additional relativistic plasma dispersion functions, evaluated at the normal and anomalous Doppler resonances. These two functions are associated with the non-gyrotropic and gyrotropic parts of the response respectively. The functions are evaluated for bell-type and Jüttner distributions. Wave dispersion is discussed for a non-gyrotropic pulsar plasma with a highly relativistic Alfvén speed. Emphasis is placed on crossings of the light line, defined in terms of the parallel phase velocity. Subluminal waves exist only for sufficiently small angles of propagation, and are confined to frequencies below about the mean gyrofrequency of the relativistic particles.

scholarly journals Relativistic Quantum Response of a Strongly Magnetised Plasma. II. Ultrarelativistic Pair Plasma

1992 ◽  
Vol 45 (2) ◽  
pp. 165 ◽  
Author(s):  
WEP Padden
Keyword(s):  
Linear Response ◽  
Gamma Ray ◽  
Cyclotron Frequency ◽  
Relativistic Quantum ◽  
Numerical Schemes ◽  
Radio Pulsars ◽  
Pair Plasma ◽  
Analytic Expressions ◽  
Plasma Dispersion ◽  
Wave Properties

Approximate analytic expressions are derived for the linear response 4-tensor of a strongly magnetised, ultrarelativistic thermal pair plasma. The response is obtained in terms of relativistic plasma dispersion functions known as Dnestrovskii functions. These functions allow for a relatively simple study of wave properties of the pair plasma without requiring complicated numerical schemes. The results obtained are valid in general for frequencies below the electron cyclotron frequency. It is believed that the results could be of importance in some models of radio pulsars and gamma-ray bursters.

Dispersion in an intrinsically relativistic, one-dimensional, strongly magnetized pair plasma

1999 ◽  
Vol 62 (2) ◽  
pp. 233-248 ◽  
Author(s):  
D. B. MELROSE ◽  
M. E. GEDALIN ◽  
M. P. KENNETT ◽  
C. S. FLETCHER
Keyword(s):  
Rest Frame ◽  
Phase Speed ◽  
Lorentz Factor ◽  
Dispersion Function ◽  
Langmuir Waves ◽  
One Dimensional ◽  
Pair Plasma ◽  
Electron Positron ◽  
Large Peak ◽  
Plasma Dispersion

The properties of a relativistic plasma dispersion function (RPDF) for an intrinsically extremely relativist, strongly magnetized, one-dimensional, electron–positron plasma are discussed in detail. For a plasma with a mean Lorentz factor 〈γ〉 [Gt ] 1 in its rest frame, the RPDF has a large peak >〈γ〉 at a phase speed a fraction of order 1/〈γ〉 below the speed of light, and the asymptotic value (infinite phase speed) is 〈γ−3〉 ∼ 1/〈γ〉. These features are not particularly sensitive to the choice of distribution function. The RPDF is used to discuss the properties of waves in such plasmas. Particular points discussed are the implications of the RPDF for the maximum frequency for parallel Langmuir waves, and for the reconnection between the Langmuir mode and the Alfvén mode.

Nonlinear propagation of intense electromagnetic waves in a hot electron–positron plasma

2010 ◽  
Vol 76 (6) ◽  
pp. 875-886 ◽  
Author(s):  
ROZINA CHAUDHARY ◽  
NODAR L. TSINTSADZE ◽  
P. K. SHUKLA
Keyword(s):  
Electromagnetic Waves ◽  
Modulational Instability ◽  
Distribution Functions ◽  
Nonlinear Propagation ◽  
Landau Damping ◽  
Hot Electron ◽  
Pair Plasma ◽  
Electron Positron ◽  
Nonlinear Landau Damping ◽  
Modulational Instabilities

AbstractThe creation and annihilation of relativistically hot electron–positron (EP) pair plasmas in the presence of intense electromagnetic (EM) waves, which are not in thermal equilibrium, are studied by formulating a new plasma particle distribution functions, which are valid for both relativistic temperatures and relativistic amplitudes of the EM waves. It is found that intense EM waves in a collisionless EP plasma damp via nonlinear Landau damping. Accounting for the latter, we have obtained relativistic kinetic nonlinear Schrödinger equation (NLSE) with local and non-local nonlinearities. The NLSE depicts nonlinear Landau damping rates for intense EM waves. The damping rates are examined for dense and tenuous pair plasmas. Furthermore, we have studied the modulational instabilities of intense EM waves in the presence of nonlinear Landau damping. Our results reveal a new class of the modulational instability that is triggered by the inverse Landau damping in a relativistically hot EP plasma. Finally, we discuss localization of intense EM waves due to relativistic electron and positron mass increase in a hot pair plasma.

scholarly journals Landau damping in one dimensional periodic inhomogeneous collisionless plasmas

AIP Advances ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 025229
Author(s):  
Sanjeev Kumar Pandey ◽  
Rajaraman Ganesh
Keyword(s):  
Landau Damping ◽  
One Dimensional ◽  
Collisionless Plasmas
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