The viscosity of charged particles in the weakly ionized plasma with power-law distributions

Abstract

We study the viscosity of light charged particles in weakly ionized plasma with the power-law q-distributions by using the Boltzmann equation of transport and the motion equation of hydrodynamics. The nonequilibrium plasma is considered to be space inhomogeneous and without magnetic field. We derive the expressions of the viscosity coefficients of the electrons and the ions in the q-distributed plasma, including the first and the second viscosity coefficients respectively. It is shown that these new viscosity coefficients depend strongly on the q-parameters, and when we take the limit of q to 1, they perfectly return to those in the plasma with a Maxwellian distribution. The discussions presented in this paper can also be applied to the plasmas with the kappa-distributions.

arXiv comment12 pages. arXiv admin note: text overlap with arXiv:1709.07783

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• Diffusion and heat conductivity in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
• The collision frequencies in the plasmas with the power-law q-distributions in nonextensive statistics
• Effect of magnetic field on viscosity in the weakly ionized and magnetized plasma with power-law q-distributions in nonextensive statiostics
• The current density and transport coefficients in the fully ionized plasma with q-distributions in nonextensive statistics
• Effect of magnetic field on transports of charged particles in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
• Effects of suprathermal electrons on electron-acoustic instabilities
• The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
• Kinetic theory of ${\mathrm{sech}}^{2}x$ electron holes and applications to Kappa-distributed plasmas
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