A note on Coulomb collision operator in curvilinear coordinates

TL;DR

This paper derives expressions for Coulomb collision operators, including friction, diffusion, and flux in velocity space, using potential functions in curvilinear coordinates, aiding plasma physics modeling.

Contribution

It introduces explicit formulas for Coulomb collision terms in curvilinear coordinates using Trubnikov and Rosenbluth potential functions, enhancing analytical tools for plasma analysis.

Findings

Derived formulas for Coulomb collision operators in curvilinear coordinates.

Compared Trubnikov and Rosenbluth potential-based expressions.

Facilitates more accurate plasma modeling in complex geometries.

Abstract

Dynamic friction force, diffusion tensor, flux density in velocity space, and Coulomb collision term are expressed in curvilinear coordinates via Trubnikov potential functions corresponding to each species of background plasma. For comparison, explicit formulas are given for dynamic friction force, diffusion tensor and collisional flux density in velocity space in curvilinear coordinates via Rosenbluth potential functions summed over all species of background plasma.