Enhanced Landau damping of finite amplitude electrostatic waves in the presence of suprathermal electron tails

2005 ◽  
Vol 12 (1) ◽  
pp. 014501 ◽  
Author(s):  
D. V. Rose ◽  
J. Guillory ◽  
J. H. Beall
Keyword(s):  
Finite Amplitude ◽  
Landau Damping ◽  
Electrostatic Waves ◽  
Suprathermal Electron

Higher order approximations in the theory of longitudinal plasma oscillations. II

1970 ◽  
Vol 4 (4) ◽  
pp. 819-824
Author(s):  
F. Einaudi ◽  
W. I. Axford
Keyword(s):  
Distribution Function ◽  
Time Scale ◽  
Asymptotic Series ◽  
Finite Amplitude ◽  
Landau Damping ◽  
Multiple Time ◽  
Complex Frequency ◽  
Previous Note ◽  
Non Linear ◽  
Independent Variable

In this note we comment and extend the results of a previous analysis in which the non-linear behaviour of one-dimensional electrostatic oscillations in a homogeneous, unbounded, collisionless and fully ionized plasma was considered. The evolution of a monochromatic wave of small, but finite amplitude is studied by expanding the dependent variables as well as the independent variable tin the form of asymptotic series; an ordering parameter e proportional to the initial amplitude of the electric field is introduced. The expansion of the independent variable in such a series allows us to eliminate secular terms from the part of the distribution function which does not depend on the free-streaming terms. This, in turn, allows us to determine corrections to the complex frequency a. Results of a previous note on non-linear Landau damping for an initially Maxwellian. distribution function are confirmed, but it is indicated that they apply to values of time up to a value τ1 rather than for all times. One can proceed to larger values of time in the manner of the multiple time-scale method. In particular it is found that the Landau damping is increased with respect to the linear value only initially during the first time scale.

Electron Heating and Energy Transport Due to Nonlinear Landau Damping of Electrostatic Waves in an Electron Beam-Plasma System

1995 ◽  
Vol 64 (6) ◽  
pp. 2018-2035 ◽  
Author(s):  
Reiji Sugaya ◽  
Hideyuki Tachibana ◽  
Hirobumi Yamashita ◽  
Kouji Miyake ◽  
Akihiro Ue ◽  
...  
Keyword(s):  
Electron Beam ◽  
Energy Transport ◽  
Landau Damping ◽  
Plasma System ◽  
Electron Heating ◽  
Electrostatic Waves ◽  
Beam Plasma ◽  
Nonlinear Landau Damping ◽  
Electron Beam Plasma

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.

Asymptotic Theory of Nonlinear Landau Damping and Particle Trapping in Waves of Finite Amplitude

1998 ◽  
Vol 81 (26) ◽  
pp. 5824-5827 ◽  
Author(s):  
M. V. Medvedev ◽  
P. H. Diamond ◽  
M. N. Rosenbluth ◽  
V. I. Shevchenko
Keyword(s):  
Asymptotic Theory ◽  
Finite Amplitude ◽  
Landau Damping ◽  
Particle Trapping ◽  
Nonlinear Landau Damping
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