The collision frequencies in the plasmas with the power-law q-distributions in nonextensive statistics

TL;DR

This paper derives how collision frequencies in plasmas with power-law q-distributions differ from Maxwellian plasmas, highlighting the impact of the q-parameter on plasma transport properties.

Contribution

It provides explicit formulas for average collision frequencies in nonextensive plasmas with power-law distributions, extending classical results to q-distributed systems.

Findings

Collision frequencies depend strongly on the q-parameter.

Differences from Maxwellian plasmas are significant.

Results are crucial for accurate plasma transport modeling.

Abstract

We study the collision frequencies of particles in the weakly and highly ionized plasmas with the power-law q-distributions in nonextensive statistics. We derive the average collision frequencies of neutral-neutral particle, electron-neutral particle, ion-neutral particle, electron-electron, ion-ion and electron-ion, respectively, in the q-distributed plasmas. We show that the average collision frequencies depend strongly on the q-parameter in a complex form and thus their properties are significantly different from that in Maxwell-distributed plasmas. These new average collision frequencies are important for us to study accurately the transport property in the complex plasmas with non-Maxwell/power-law velocity distributions.