Kinetic description of localized plasma structures in dusty plasmas

Abstract

The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the “far field” solutions. Dispersion relations are derived for longitudinal dusty plasma waves by use of linearized Vlasov equations. Assuming suitable equilibrium distributions for cold and hot charged particle/grain components, due to negligence of wave-particle interactions and assuming travelling wave “far field” solutions, fully nonlinear ODE is gained for Sagdeev potentials. We determine velocity distributions where and by use of Sagdeev potential equations we compute the solitary and double layer structures for a set of dusty plasma parameters. It has been proved [1], that Vlasov description of dusty plasmas is valid not only in the usual weakly coupled plasma regime but also in the strong-coupling limit for dusty plasmas. Deviations from both limits are to be expected for the intermediate range of coupling when Coulomb crystallization occurs.