Adiabatic nonlinear waves with trapped particles. II. Wave dispersion
- Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)
A general nonlinear dispersion relation is derived in a nondifferential form for an adiabatic sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of trapped electrons. The linear dielectric function is generalized, and the nonlinear kinetic frequency shift {omega}{sub NL} is found analytically as a function of the wave amplitude a. Smooth distributions yield {omega}{sub NL}{proportional_to}{radical}(a), as usual. However, beam-like 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. Such beams are formed whenever the phase velocity changes, because the trapped distribution is in autoresonance and thus evolves differently from the passing distribution. Hence, even adiabatic {omega}{sub NL}(a) is generally nonlocal.
- OSTI ID:
- 22043543
- Journal Information:
- Physics of Plasmas, Vol. 19, Issue 1; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Adiabatic nonlinear waves with trapped particles. I. General formalism
Nonlinear trapping and self-guiding of magnetized Langmuir waves due to thermal plasma filamentation