Abstract
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 subsystem 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.
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