Transport coefficients in standard Kappa distributed plasmas

Abstract.

This study presents a systematic derivation of transport coefficients—including electrical conductivity, thermoelectric, diffusion, and mobility coefficients—for a Lorentz plasma described by a standard Kappa distribution function. The analysis is implemented within the framework of the five-moment transport equations, in which the standard Kappa distribution is adopted as the zeroth-order function.  Momentum and energy collision terms are then evaluated using the Boltzmann collision integral for several types of collisions, including Coulomb collisions, hard-sphere interactions, and Maxwell molecules.  These collision terms are  incorporated into the momentum equation to construct expressions for the  generalized Ohm’s law and extended Fick’s law, from which the transport coefficients are obtained. The influence of the kappa parameter on the collision terms and transport coefficients is examined in detail, revealing that low kappa values reduce the effective collision frequency and enhance transport coefficients in the standard Kappa distribution, in contrast to the behavior reported for the modified Kappa distribution. Finally, in the asymptotic limit of large kappa values, the transport coefficients consistently recover their  Maxwellian forms.