Relaxation of Background Electrons and Ions in Plasma Crystals

Abstract

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 subsystem which is described by the common whole distribution function. It ia shown that this subsystem is described by the complex integral-differential equation which can be expected to lead to Non-Markovian kinetics.Computer modeling shows that background electrons and ions can be non-ideal components of relaxjng dusty plasmas in plasma crystals due to the intensive charge exchange of electrons and ions with dust particles even in the c&s where their numbers in the Debye cube are large. The selective collection of electrons and ions by dust particles causes their deviation from the initial equilibrium as well as the non-equilibrium evolution of the self-consistent electric potential and electric charge of dust particles.

Instability of Dust Particles in a Coulomb Crystal due to Delayed Charging

“…We propose that this instability arises from the charge deviation from its equilibrium value, due to the delay in charging. The charge on dust has a memory of its history of motion, and this leads to non-Markovian kinetics [17].…”