Parametric Resonance and Energy Transfer in Dusty Plasma

Abstract

Model allowing analytical and numerical studies of a dusty plasma system is used to describe the dynamics of a monolayer of dusty particles. The mechanism of energy transfer between horizontal and vertical particle motion based on parametric resonance is described by the extended Mathieu equation. The resonance regions and growth rates of dust particles energy are obtained. The conditions for the occurrence of resonance and the initial stage of energy transfer are described more precisely based on the analysis of the obtained data. It is shown that a wide spectrum of dust particle oscillations participates in the system heating. The harmonics contributing the most to this process are determined.