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

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.

arXiv comment13 pages,4 figures, 50 references

References in corpus (28)

• Power Laws in Solar Flares: Self-Organized Criticality or Turbulence?
• A nonextensive entropy approach to kappa-distributions
• Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics
• Kappa Distribution Model for Hard X-Ray Coronal Sources of Solar Flares
• Jeans' gravitational instability and nonextensive kinetic theory
• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Negative heat capacity and non-extensive kinetic theory
• Kappa distribution and hard X-ray emission of solar flares
• KAPPA: A Package for Synthesis of optically thin spectra for the non-Maxwellian kappa-distributions based on the CHIANTI database
• Suprathermal Electrons in the Solar Corona: Can Nonlocal Transport Explain Heliospheric Charge States?
• Jeans criterion and nonextensive velocity distribution function in kinetic theory
• Reaction-diffusion processes on correlated and uncorrelated scale-free networks
• Transport coefficients in Lorentz plasmas with the power-law kappa-distribution
• A Simple Method for Modeling Collision Processes in Plasmas with a Kappa Energy Distribution
• The nonextensive parameter for nonequilibrium plasmas in magnetic field
• The Chandrasekhar condition of the equilibrium and stability for a star in the nonextensive kinetic theory
• Dust-acoustic waves and stability in the permeating dusty plasma: II. Power-law distributions
• Transport coefficients and nonextensive statistics
• The diffusion of charged particles in the weakly ionized plasma with power-law kappa-distributions
• The nonextensive parameter for the rotating astrophysical systems with power-law distributions
• The viscosity of charged particles in the weakly ionized plasma with power-law distributions
• Transport coefficients of the fully ionized plasma with kappa-distribution and in strong magnetic field
• Slowing down of charged particles in dusty plasmas with pawer-law kappa-distributions
• Diffusion and heat conductivity in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
• The current density and transport coefficients in the fully ionized plasma with q-distributions in nonextensive statistics
• The limit behavior of the evolution of Tsallis entropy in self-gravitating systems

Cited by in corpus (8)

• The collision frequencies in the plasmas with the power-law q-distributions in nonextensive statistics
• The collision frequency of electron-neutral-particle in the weakly ionized plasmas with Non-Maxwellian velocity distributions
• Effect of magnetic field on transports of charged particles in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
• The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
• Heat conductivity and Dufour effects in the weakly ionized, magnetized and kappa-distributed plasma
• Diffusions and anomalous diffusions of charged particles in the plateau regime of toroidal plasma
• Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation
• The collision frequencies of charged particles in the complex plasmas with the non-Maxwellian velocity distributions