Transport coefficients of the fully ionized plasma with kappa-distribution and in strong magnetic field

Abstract

Transport processes in the fully ionized plasma with kappa-distribution and in strong magnetic field are studied. By analyzing the current density and the heat flux in the κ-distributed plasma, we derive the corresponding transport coefficients, including the electric conductivity, the thermal conductivity and thermoelectric coefficient. Besides, we derive the coefficients of Hall, Nernst and Leduc-Righi effects in the κ-distributed plasma. It is shown that these new transport coefficients depend strongly on the κ-parameter and only in the limit κ→∞, they recover the traditional forms in the plasma based on a Maxwellian distribution. We also numerically analyze the role of the κ-parameter in the κ-dependent transport coefficients.

Transport coefficients enhanced by suprathermal particles in nonequilibrium heliospheric plasmas

“…is also invoked in the literature, including studies on instabilities (Lazar et al 2011(Lazar et al , 2013Viñas et al 2017) and also evaluations of transport coefficients (Du 2013;Guo & Du 2019).…”

“…The mobility of charged particles is related to the electric conductivity, setting the current density, and the electric field in the relationship (Du 2013;Ebne Abbasi et al 2017). The thermoelectric coefficient relates the electric field to the temperature gradient resulting in electric voltages and currents, and it was derived based on Kappa distributions (Du 2013;Guo & Du 2019). The heat flux is driven by a temperature gradient, for which the thermal conductivity is the constant of proportionality, see, for example, Rat et al (2001) for Maxwellian plasma populations, and Du (2013), Guo & Du (2019), and Ebne Abbasi & Esfandyari-Kalejahi (2019) using Kappa distributions.…”

“…The thermoelectric coefficient relates the electric field to the temperature gradient resulting in electric voltages and currents, and it was derived based on Kappa distributions (Du 2013;Guo & Du 2019). The heat flux is driven by a temperature gradient, for which the thermal conductivity is the constant of proportionality, see, for example, Rat et al (2001) for Maxwellian plasma populations, and Du (2013), Guo & Du (2019), and Ebne Abbasi & Esfandyari-Kalejahi (2019) using Kappa distributions. However, all of these studies involving Kappa distributions invoke a modified approach that drastically differs from the original Olbertian or the standard Kappa distribution introduced by Olbert (1968) and Vasyliūnas (1968).…”

The collision frequency of electron‐neutral‐particle in the weakly ionized plasma with the power‐law velocity distribution

“…In Figure 1, the numerical analysis is made on the basis on Eq. (17), which shows dependence of the average collision frequency on the q-parameter in the two different value ranges of the q-parameter: 0< q <1 and 1< q <3/2. It is shown that the collision frequency will increase monotonously as the q-parameter increases.…”

“…In fact, for the transport processes of nonequilibrium complex plasmas, the average collision frequencies depend on the velocity/energy distributions of the particles, but are often assumed to be a constant. [14][15][16][17][18][19] As we known, non-Maxwellian and/or power-law velocity and/or energy distributions are ubiquitous in many nonequilibrium complex plasmas. For example, the famous κ-and κ-like velocity/energy distributions exist widely in astrophysical and space plasmas.…”