Statistical description and 3D computer modeling 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. Plasmas relax due to a collection of electrons 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 the complex integral-differential equation, which can be expected to lead to Non-Markovian kinetics. Computer modeling show that the selective collection of electrons and ions by dust particles causes a deviation from the initial equilibrium of free electrons and ions in plasma crystals.