Nonlinear dispersion of stationary waves in collisionless plasmas

I. Y. Dodin, N. J. Fisch

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18 Scopus citations


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∼a1⊃/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.

Original languageEnglish (US)
Article number035005
JournalPhysical review letters
Issue number3
StatePublished - Jul 14 2011

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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