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Nonlinear dispersion of stationary waves in collisionless plasmas.

Authors
Type
Published Article
Journal
Physical Review Letters
1079-7114
Publisher
American Physical Society
Publication Date
Volume
107
Issue
3
Pages
35005–35005
Identifiers
PMID: 21838371
Source
Medline
License
Unknown

Abstract

A nonlinear dispersion of a general stationary wave in collisionless plasma is obtained in a nondifferential form expressed in terms of a single-particle oscillation-center Hamiltonian. For electrostatic oscillations in nonmagnetized plasma, considered as a paradigmatic example, the linear dielectric function is generalized, and the trapped particle contribution to the wave frequency shift Δω is found analytically as a function of the wave amplitude a. Smooth distributions yield Δω ∼ a(1/2), as usual. However, beamlike distributions of trapped electrons result in different power laws, or even a logarithmic nonlinearity, which are derived as asymptotic limits of the same dispersion relation.

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