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Dust charging processes with a Cairns-Tsallis distribution function with negative ions

Abid, A. A. ; Zubair, M. Z. ; Yap, S. L. ; Terças, H. ; Mahmood, S.

Physics of Plasmas Vol. 23, Nº 1, pp. 013706 - 013706, January, 2016.

ISSN (print): 1070-664X
ISSN (online): 1089-7674

Scimago Journal Ranking: 1,00 (in 2016)

Digital Object Identifier: 10.1063/1.4940329

Abstract
Dust grain charging processes are presented in a non-Maxwellian dusty plasma following the Cairns-Tsallis (q, α)–distribution, whose constituents are the electrons, as well as the positive/negative ions and negatively chargeddustgrains. For this purpose, we have solved the current balance equation for a negatively chargeddustgrain to achieve an equilibrium state value (viz., qd = constant) in the presence of Cairns-Tsallis (q, α)–distribution. In fact, the current balance equation becomes modified due to the Boltzmannian/streaming distributed negative ions. It is numerically found that the relevant plasma parameters, such as the spectral indexes q and α, the positive ion-to-electron temperature ratio, and the negative ion streaming speed (U0) significantly affect the dustgrainsurface potential. It is also shown that in the limit q → 1 the Cairns-Tsallis reduces to the Cairns distribution; for α = 0 the Cairns-Tsallis distribution reduces to pure Tsallis distribution and the latter reduces to Maxwellian distribution for q → 1 and α = 0.