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Relaxation of Background Electrons and Ions in Plasma Crystals

The Liouville equation is considered for the statistical system consisting of identical constructureless free particles and grains initially. It relaxes then due to a collection of the particles by the grains. Dusty plasmas are particular cases of this system. The free and collected particles are considered as a common sub‐system which is 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.