Linear electrostatic waves in two-temperature electron–positron plasmas

2012 ◽  
Vol 78 (6) ◽  
pp. 621-628 ◽  
Author(s):  
I. J. LAZARUS ◽  
R. BHARUTHRAM ◽  
S. V. SINGH ◽  
S. R. PILLAY ◽  
G. S. LAKHINA
Keyword(s):  
Dispersion Relation ◽  
Electron Plasma ◽  
Linear Dispersion ◽  
Electrostatic Waves ◽  
Electron Positron ◽  
Single Temperature ◽  
Temperature Electron ◽  
Cyclotron Mode ◽  
Electron Acoustic ◽  
Two Temperature

AbstractLinear electrostatic waves in a magnetized four-component, two-temperature electron–positron plasma are investigated, with the hot species having the Boltzmann density distribution and the dynamics of cooler species governed by fluid equations with finite temperatures. A linear dispersion relation for electrostatic waves is derived for the model and analyzed for different wave modes. Analysis of the dispersion relation for perpendicular wave propagation yields a cyclotron mode with contributions from both cooler and hot species, which in the absence of hot species goes over to the upper hybrid mode of cooler species. For parallel propagation, both electron-acoustic and electron plasma modes are obtained, whereas for a single-temperature electron–positron plasma, only electron plasma mode can exist. Dispersion characteristics of these modes at different propagation angles are studied numerically.

Nonlinear electrostatic solitary waves in electron–positron plasmas

2016 ◽  
Vol 82 (1) ◽  
Author(s):  
I. J. Lazarus ◽  
R. Bharuthram ◽  
S. Moolla ◽  
S. V. Singh ◽  
G. S. Lakhina
Keyword(s):  
Solitary Waves ◽  
Laboratory Experiments ◽  
Nonlinear Propagation ◽  
Plasma Parameters ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Fluid Theory ◽  
Temperature Electron ◽  
Propagation Of Waves ◽  
Two Temperature

The generation of nonlinear electrostatic solitary waves (ESWs) is explored in a magnetized four component two-temperature electron–positron plasma. Fluid theory is used to derive a set of nonlinear equations for the ESWs, which propagate obliquely to an external magnetic field. The electric field structures are examined for various plasma parameters and are shown to yield sinusoidal, sawtooth and bipolar waveforms. It is found that an increase in the densities of the electrons and positrons strengthen the nonlinearity while the periodicity and nonlinearity of the wave increases as the cool-to-hot temperature ratio increases. Our results could be useful in understanding nonlinear propagation of waves in astrophysical environments and related laboratory experiments.

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.

Longitudinal waves in a perpendicular collisionless plasma shock Part 4. Gradient B

1972 ◽  
Vol 7 (3) ◽  
pp. 417-425 ◽  
Author(s):  
S. Peter Gary
Keyword(s):  
Dispersion Relation ◽  
Growth Rates ◽  
Collisionless Plasma ◽  
Maximum Growth ◽  
Linear Dispersion ◽  
Electrostatic Waves ◽  
Longitudinal Waves ◽  
Linear Dispersion Relation ◽  
Plasma Shock ◽  
Vlasov Plasma

This paper considers electrostatic waves in a Vlasov plasma of unmagnetized ions and magnetized electrons undergoing E x B and gradient B drifts. The linear dispersion relation is solved numerically for Te & Ti. The results show that, as in the Te <Ti case, increasing electron β decreases the maximum growth rates.

Modified Korteweg–de Vries–Zakharov–Kuznetsov solitons in symmetric two-temperature electron–positron plasmas

2008 ◽  
Vol 74 (4) ◽  
pp. 519-529 ◽  
Author(s):  
I. J. LAZARUS ◽  
R. BHARUTHRAM ◽  
M. A. HELLBERG
Keyword(s):  
Particle Number ◽  
Perturbation Technique ◽  
Boltzmann Distribution ◽  
Plasma Parameters ◽  
Oblique Propagation ◽  
Electron Positron ◽  
Reductive Perturbation ◽  
De Vries ◽  
Temperature Electron ◽  
Two Temperature

AbstractSolitary waves are investigated in a magnetized electron–positron plasma consisting of equal hot and cool components of each species. The hot components have a Boltzmann distribution and the cool components are described by the fluid equations. A modified Korteweg–de Vries–Zakharov–Kuznetsov equation governing the oblique propagation of nonlinear electrostatic modes is derived using the reductive-perturbation technique. Soliton amplitudes are studied as a function of plasma parameters such as the particle number densities and the temperatures. Such results may be of relevance to the magnetosphere of pulsars.

scholarly journals Amplification of magnetic fields by polaritonic flows in quantum pair plasmas

2007 ◽  
Vol 73 (3) ◽  
pp. 289-293 ◽  
Author(s):  
N. SHUKLA ◽  
P. K. SHUKLA ◽  
G. E. MORFILL
Keyword(s):  
Dispersion Relation ◽  
Magnetic Fields ◽  
Intense Laser ◽  
Linear Dispersion ◽  
Laser Plasma Interaction ◽  
Faraday’S Law ◽  
Electron Positron ◽  
Quantum Electron ◽  
Astrophysical Objects ◽  
Micromechanical Systems

AbstractIt is shown that equilibrium polaritonic flows can amplify magnetic fields in an ultra-cold quantum electron–positron/hole (polaritons) plasma. For this purpose, a linear dispersion relation has been derived by using the quantum generalized hydrodynamic equations for the polaritons, the Maxwell equation, and Faraday's law. The dispersion relation admits purely growing instabilities, the growth rates of which are proportional to the equilibrium streaming speeds of the polaritons. Possible applications of our work to the spontaneous excitation of magnetic fields and the associated cross-field transport of the polaritons in micromechanical systems, compact dense astrophysical objects (e.g. neutron stars), and intense laser–plasma interaction experiments are mentioned.

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