Averaged Lorentz Dynamics and an application in Plasma Dynamics

TL;DR

This paper demonstrates that under specific conditions, a group of ultra-relativistic charged particles can be accurately modeled as a cold fluid using geometric averaging of Lorentz dynamics, simplifying plasma analysis.

Contribution

It introduces a geometric averaging method applied to Lorentz dynamics that enables deriving a cold fluid model without extra assumptions on moments.

Findings

Charged particles can be modeled as a cold fluid in ultra-relativistic limit.

The averaging procedure simplifies plasma dynamics modeling.

The approach requires a narrow particle distribution function.

Abstract

Using a geometric averaging procedure applied to a non-affine linear connection, we prove that for a narrow one particle distribution function and in the ultra-relativistic limit, a bunch of point charged particles can be described by a Charged Cold Fluid Model, without additional hypothesis on the moments.