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

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.

Secondary electron emissions and dust charging currents in the nonequilibrium dusty plasma with power-law distributions

“…In the previous work, 20 we studied the dust charging processes in the collections of electrons and ions in the nonequilibrium dusty plasma with power-law distributions.…”

Generalized Cattaneo–Maxwell diffusion equation with fractional derivatives. Dispersion relations

“…Fractional integrals and derivatives [1][2][3][4][5] are actively used in researches of anomalous diffusion in porous media [5][6][7][8][9][10][11][12][13][14][15][16], disordered systems [17][18][19][20][21][22][23][24][25][26][27][28][29][30], plasma physics [31][32][33][34][35][36], turbulent [37][38][39], kinetic and reaction-diffusion processes [39][40][41][42][43][44][45][46][47][48], biological systems…”

Relativistic effects on dust grain charging in non-equilibrium dusty plasma with relativistic Tsallis distribution

“…26 In this way, we calculated the currents carried by electrons and ions on the dust grain charging process, and thus generally, the results are compared by nonrelativistic Tsallis distribution. 45 This work is organized as follows: In Sec. II, by relativistic Tsallis distribution function, the basic formula OLM theory and the relativistic cross section for dust grain charging are obtained.…”