Long-range correlations in dusty plasmas

Abstract

The correlations in dusty plasmas in the gaseous state is considered. It is shown that the long-ranged correlations of dust particles, contrary to usual matter, start to form in a weakly correlated state, leading finally to the formation of dust crystals and dust liquids with not strong but intermediate strength correlations. The physical mechanism leading to long-ranged correlations is the dust attraction due to shadow effects of the plasma particle fluxes. An analytic theory for the long-ranged dust density correlation function is developed and the numerical results for a broad range of dust densities and plasma temperatures are presented. The long-ranged correlations induced by dust for electron densities, ion densities, and dust charges are also investigated, and the results for electron density correlations are presented in a way that permits measurement of the long-ranged correlation function in laser and radio-wave scattering experiments

Universal instability of dust ion‐sound waves and dust‐acoustic waves

“…But there exist more important effect related with dust charging which is also necessary to take into account. In most of investigations of the influence of dust charge variations there was not taken into account that the same process which makes the dust charge to change influences the distributions of electrons and ions taking part in the charging process (first steps to take into account this effect were made in [10] [13][14][15][16]). Thus to treat the problem self-consistently one need to take into account both the changes in the dust charges and the related with these changes the variations of the electron and ion distributions.…”

Relaxation of Background Electrons and Ions in Plasma Crystals

“…However recent theoretical investigations of dusty plasmas, including their non-stationary behavior [4], are usually carried out under the assumption of equilibrium background electrons and ions because of the great complications involved in a non-equilibrium description.…”

Rotational kinetics of absorbing dust grains in neutral gas

“…The collision terms in the right-hand sides of Eqs. (7,8) account for gas absorption by dust grains; similar terms were introduced in [4]. The convenient short-hand forms of these terms are…”

“…At the time intervals between the collisions Eqs. (7,8) describe plain Newtonian dynamics. However, at the instant of collision the microscopic phase densities change abruptly:…”

“…The kinetic description of dusty plasma was discussed in numerous theoretical studies [3,4,5,6,7,8,9]. Generally, there are two ways plasma particles interact with dust grains: first, the scattering of a particle by grain electric field and, second, the direct impact of a particle on a grain surface.…”