Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

TL;DR

This paper explores how nonextensive power-law distributions influence dust charging in nonequilibrium dusty plasmas, deriving generalized formulas and analyzing effects on charging processes.

Contribution

It introduces a new q-distribution based theory for dust charging in nonextensive plasmas with different q-parameters for electrons and ions.

Findings

Nonextensive effects significantly alter dust charging currents.

Power-law distributions impact dust charging in both homogeneous and dust cloud plasmas.

Generalized formulas account for nonextensive effects in dust charging processes.

Abstract

The dust charging processes in the collections of electrons and ions in the nonequilibrium dusty plasma with power-law distributions are investigated on the basic of a new q-distribution function theory in nonextensive statistics. Electrons and ions obey the power-law distributions and are with q-parameters different from each other. We derive the generalized formulae for the dust charging currents in which the nonextensive effects play roles. Further we investigate the dust charging processes taking place in the homogeneous dusty plasma where only the particle velocities are power-law distributions and in the dust cloud plasma where the particle velocities and densities are both power-law distributions. By numerical analyses, we show that the nonextensive power-law distributions of electrons and ions have significant effects on the dust charging processes in the nonequilibrium dusty plasma.