TY - JOUR
T1 - Nonlinear dispersion of stationary waves in collisionless plasmas
AU - Dodin, I. Y.
AU - Fisch, N. J.
PY - 2011/7/14
Y1 - 2011/7/14
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.107.035005
DO - 10.1103/PhysRevLett.107.035005
M3 - Article
C2 - 21838371
AN - SCOPUS:79961045281
SN - 0031-9007
VL - 107
JO - Physical review letters
JF - Physical review letters
IS - 3
M1 - 035005
ER -