Stability of Bernstein-Greene-Kruskal Wave with Small Fraction of Trapped Electrons
1972; AIP Publishing; Volume: 15; Issue: 4 Linguagem: Inglês
10.1063/1.1693958
ISSN2163-4998
Autores Tópico(s)Cold Atom Physics and Bose-Einstein Condensates
ResumoFor ω≫ωB = (k02e∅0/me)1/2, the normal modes are essentially oscillations of the background plasma and these can be made unstable due to coupling to the periodic motion of the trapped electrons with bound frequency ωb, where ω = nωb and n is an integer. However, the most unstable waves have frequency ω∼ωB, and in this regime, plasma oscillations with wave number k + k0 and k − k0, where k≪k0, are coupled; instability is associated with coupling due to resonant and nonresonant interaction with the trapped electrons. If the trapped electron distribution function is monotonically increasing (decreasing) in energy, then the lower (upper) frequency side band with wavenumber | k | − k0(| k |+k0) is dominant.
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