Statistical Properties of Relaxing Dusty Plasmas

The Liouville equation is considered for relaxing dusty plasmas consisting initially of equilibrium electrons and ions as well as neutral dust particles. The plasmas relax then due to a collection ofelectrons and ions by dust particles. The free and collected electrons and ions are considered as a common sub-system described by the common whole distribution function. It is shown that this sub-system is described by a complex integral-differential equation with Non-Markovian kinetics. The general properties of dusty plasmas are important for controlled fusion devices because dust particles can be created in fusion devices due to the plasma-wall interaction and therefore can influence particle and energy fluxes to the wall. Keywords: dusty plasma, Liouville equation, Non-Markovian kinetics, fusion device