Transport coefficients in modified Kappa distributed plasmas

Abstract. This work derives transport coefficients, i.e., electrical conductivity, thermoelectric, diffusion, and mobility coefficients, for a Lorentz plasma with a modified Kappa distribution. The derivation begins by formulating transport equations (continuity, momentum, and energy) within the five-moment approximation, using the modified Kappa distribution as the zeroth-order function. Subsequently, the corresponding momentum and energy collision terms are evaluated via the Boltzmann collision integral for different types of collisions, including Coulomb collisions, hard-sphere interactions, and Maxwell molecule collisions. Next, we use the momentum equation from the five-moment approximation to obtain the generalized Ohm’s law and extended Fick's law, leading to the transport coefficients. Furthermore, the influence of the kappa parameter on the collision terms and transport coefficients is analyzed. The traditional results based on the Maxwellian distribution are recovered in the limit as kappa parameter approaches infinity.