Landau damping of surface waves at a plasma— vacuum interface

1975 ◽  
Vol 14 (1) ◽  
pp. 179-194 ◽  
Author(s):  
P. C. Clemmow ◽  
J. N. Elgin
Keyword(s):  
Distribution Function ◽  
Surface Wave ◽  
Dispersion Relation ◽  
Fluid Model ◽  
Velocity Distribution Function ◽  
Landau Damping ◽  
Velocity Spread ◽  
Equilibrium Distribution Function ◽  
Elementary Functions ◽  
Surface Wave Dispersion

The exact surface-wave dispersion relation is expressed in terms of elementary functions for a plasma characterized by a ‘resonance’ velocity distribution function. An approximate form of the relation is derived for the case when the thermal velocity spread is much less than c. The pure surface wave obtained by dropping the term responsible for Landau damping is compared with that predicted on the basis of a fluid model of the plasma. The effect of Landau damping is then investigated, both by analytic approximations and by computation. Two branches of the solution to the dispersion relation are found; and it is shown that the surface wave suffers increasingly severe damping as the frequency grows beyond 1/ √ 2 times the plasma frequency. It is argued that qualitatively similar damping would be present were the plasma to have a Maxwellian equilibrium distribution function.

A surface wave dispersion relation for non-local media

1978 ◽  
Vol 28 (11) ◽  
pp. 927-929 ◽  
Author(s):  
Deva N. Pattanayak ◽  
Joseph L. Birman
Keyword(s):  
Surface Wave ◽  
Dispersion Relation ◽  
Wave Dispersion ◽  
Surface Wave Dispersion ◽  
Local Media ◽  
Non Local

Landau damping for non-Maxwellian distributions

1962 ◽  
Vol 58 (1) ◽  
pp. 119-129 ◽  
Author(s):  
John F. P. Hudson
Keyword(s):  
Distribution Function ◽  
Velocity Distribution ◽  
Particle Velocity ◽  
Velocity Distribution Function ◽  
Landau Damping ◽  
Longitudinal Waves ◽  
Maxwellian Plasma ◽  
Maximum Particle ◽  
General Distributions ◽  
Uniform Plasma

ABSTRACTIt has been shown by Landau(8) that in a uniform plasma with a Maxwelliau velocity distribution longitudinal waves are damped. Penrose(9) has considered more general distributions and developed stability criteria. In particular, if the velocity distribution function has only one maximum, then the plasma is stable. In this paper the values of the Landau damping for some stable single maximum distributions are compared in order to assess the sensitivity of Landau damping to the form of the distribution function, and to investigate the usefulness of approximating to the Landau damping in a Maxwellian plasma by using an algebraically simpler velocity distribution function.It is shown also that, for at least some velocity distributions having a maximum particle velocity, the behaviour of the plasma can no longer be described in terms of exponential damping, since there will be longer lasting perturbations with phase velocity equal to the maximum particle velocity.

A macroscopic interpretation of Landau damping

1986 ◽  
Vol 36 (1) ◽  
pp. 127-133 ◽  
Author(s):  
V. V. Subramaniam ◽  
W. F. Hughes
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Distribution Function ◽  
Velocity Distribution ◽  
Collisionless Plasma ◽  
Velocity Distribution Function ◽  
Landau Damping ◽  
Conservation Of Mass ◽  
Equivalent Complex

A macroscopic interpretation for the problem of Landau damping of longitudinal oscillations in a collisionless plasma is investigated by including macroscopic fluid conservation of mass, momentum, and energy. It is shown that Landau damping may be derived macroscopically by appropriate consideration of the heat flux term for a collisionless plasma. This heat flux is expressed in terms of the perturbed velocity distribution function. A possible form of an equivalent complex thermal conductivity is postulated for a collisionless plasma. Both temporal and spacial damping are discussed.

A general dispersion relation for non-uniform magnetized plasmas

1976 ◽  
Vol 16 (3) ◽  
pp. 399-413 ◽  
Author(s):  
W. All'an
Keyword(s):  
Distribution Function ◽  
Dispersion Relation ◽  
Equilibrium Distribution ◽  
Local Approximation ◽  
Magnetized Plasma ◽  
Equilibrium Distribution Function ◽  
Magnetized Plasmas ◽  
Linear Waves ◽  
General Dispersion ◽  
Electro Magnetic

A general dispersion relation is derived for linear waves in a non-uniform, magnetized plasma using the polarized co-ordinate system. An equilibrium distribution function with general gradients in density and temperature (and differing parallel and perpendicular temperatures) is proposed using polarized tensors. A compact conductivity tensor is derived in terms of tensor quantities, including certain tensor moment integrals whose elements may be evaluated separately from a given problem. This is of importance in computational applications. The derivation is under the restrictions (a) small gradients, (b) the local approximation of Krall & Rosenbluth, and (c) β⊥ ≪ 1. Conditions for coupling of electrostatic and electro-magnetic modes are investigated.

Improved Surface Wave Dispersion Models, Amplitude Measurements and Azimuth Estimates

2005 ◽  
Author(s):  
Jeffry L. Stevens ◽  
David A. Adams ◽  
G. E. Baker ◽  
Mariana G. Eneva ◽  
Heming Xu
Keyword(s):  
Surface Wave ◽  
Wave Dispersion ◽  
Dispersion Models ◽  
Surface Wave Dispersion
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