Statistical theory of dusty plasmas: Microscopic description and numerical simulations

Abstract

The first principles of statistical mechanics are used to formulate the basic points of kinetic theory of dusty plasmas. Equations for microscopic phase densities of plasma particles and grains are derived with regard for electron and ion collection by dust particles and elastic contact collisions between grains. The Bogolyubov–Born–Green–Kirkwood–Yvon hierarchy is generalized to the case of dusty plasmas and used to derive kinetic equations, taking into account elastic and inelastic particle collisions. An example of such an equation is presented and applied to the calculations of stationary grain velocity and charge grain distributions. The results of Monte Carlo studies of a strongly coupled dusty plasma are also presented. Microscopic simulations of critical behavior of a dusty plasma with regard for the discrete nature of the plasma subsystem are performed. The effect of nonlinear screening of dust particles on the dusty crystal formation is considered as well.

Waves in Complex Plasmas With Dust Distributions (Charge/Size/Mass) Revisited

“…In the absence of self-gravitational effects , we see that (28) reduces to (29) when all dust particles have the same charge-to-mass ratio, or else from (23) we get in general that (30) This generalizes results obtained for oblique electrostatic modes in monodisperse dusty plasmas [32].…”

Alexander's Prescription for Colloidal Charge Renormalization

“…Theories dealing with dynamic properties of charged colloidal suspensions are presented, for example, in ref . Another field of application is complexation problems: the complexation of a polyelectrolyte/DNA with spherical macroions , or, vice versa, the complexation of macroions with oppositely charged polyelectrolytes. − Finally, we mention usage of the work of Alexander et al in recent papers on microgels, on the Rayleigh instability of charged droplets, on charged spherical microemulsion and micellar systems, , and, as a last and more exotic example, in the theory of dusty plasmas . We also note that the phenomenological concept of a Stern layersuccessfully applied in many studies on adsorption and micellization of ionic surfactantsis reminiscent of the renormalization procedure under scrutiny here.…”

Observation of the Effects of Dust Particles on Plasma Fluctuation Spectra

“…kv Td , where v Td is the mean dust velocity (the thermal velocity for thermal distributions of dust particles) [1,8,9], as compared to the fluctuations induced by the discreteness of the plasma particles. In this experiment the frequencies are much larger than kv Td , for the wave numbers considered, so that dust-induced fluctuations can be neglected and the theory of fluctuations induced by the plasma particle discreteness reported in Ref.…”