Effect of magnetic field on viscosity in the weakly ionized and magnetized plasma with power-law q-distributions in nonextensive statiostics

TL;DR

This paper investigates how magnetic fields and nonextensive statistical effects influence viscosity in weakly ionized plasmas, deriving new viscosity coefficients and analyzing their dependence on plasma parameters.

Contribution

It introduces a generalized approach to calculate multiple viscosity coefficients in magnetized, nonextensive plasmas, highlighting the roles of magnetic field and q-parameters.

Findings

Viscosity coefficients depend strongly on magnetic field strength.

Q-parameters significantly influence viscosity behavior.

Results have potential applications in low temperature complex plasmas.

Abstract

We study the effect of magnetic field on the viscosity of charged particles in the weakly ionized and magnetized plasma with the power-law q-distributions by using the generalized Boltzmann equation of transport in nonextensive statistics. We derive six viscosity coefficients of electrons and ions in the complex plasma, including the magnetic field introduced four viscosity coefficients, where the q-parameter and magnetic field both play significant roles. By numerical analyses, we show that these viscosity coefficients depend strongly on the magnetic field and q-parameters of the weakly ionized and magnetized plasma, and so have potential applications in low temperature complex plasmas.