Transport equations for energy and momentum coefficients in Kappa plasmas reveal insights into collision types, suggesting implications for plasma behavior.
In this paper, we present a set of transport equations (continuity, momentum, and energy) using the Kappa velocity distribution as our zeroth-order function within the framework of the five-moment approximation. Then, we derive the corresponding transport momentum and energy coefficients using the Boltzmann collision integral. The results are expressed in terms of hypergeometric functions. These calculations have been done for three types of collisions: Coulomb collisions, hard-sphere interactions, and Maxwell molecules collisions. Furthermore, we explore the transport coefficients in two special cases: (1) the limiting case when kappa index approaches infinity, where the results converge to those of the Maxwellian distribution, and (2) the case of a non-drifting Kappa distribution. Finally, we discuss the behaviour of the transport coefficients in the case of Coulomb collisions for the Kappa distribution and compare it with the result of Maxwellian distribution.
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Jwailes et al. (2025) studied this question.
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