Abstract
In Part I of the companion paper [], we have extensively investigated the instability due to trapped particle by large amplitude electrostatic waves i.e BGK (Bernstein-Greene-Kruskal) mode in one dimensional, collisionless, homogeneous Vlasov-Poisson plasma. In continuation of the work, in this Part II, we present the trapped particle instability in the presence of finite non-uniform background inhomogeneity of scale with equilibrium inhomogeneity amplitude A. In the process, we demonstrate and emphasize importance of the mode coupling phenomenon alongwith the wave-particle interaction phenomenon in order to understand the physical mechanisms, which are responsible for the growth of upper and lower sideband modes in inhomogeneous plasmas. It is shown that the larger the amplitude of equilibrium inhomogeneity A, smaller is the perturbation amplitude α for which destabilization sets in. Also, in addition, effect of equilibrium inhomogeneity amplitude on trapped particle instability, asymmetry in growth rates of upper and lower secondary sideband modes, alongwith novel scaling of detrapping time with respect to equilibrium inhomogeneity amplitude are reported.
Published Version
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