Impact of strong magnetic fields on collision mechanism for transport of charged particles

TL;DR

This paper investigates how strong magnetic fields influence collision mechanisms in magnetized plasmas, deriving effective collision kernels by averaging over fast cyclotronic motion, with implications for plasma confinement in fusion devices.

Contribution

It introduces a novel approach to derive effective collision kernels in strongly magnetized plasmas by averaging Boltzmann operators over cyclotronic motion.

Findings

Derived effective collision kernels for strongly magnetized plasmas.

Provided insights into collision mechanisms under intense magnetic fields.

Enhanced understanding of plasma behavior in magnetic confinement devices.

Abstract

One of the main applications in plasma physics concerns the energy production through thermo-nuclear fusion. The controlled fusion is achieved by magnetic confinement i.e., the plasma is confined into a toroidal domain (tokamak) under the action of huge magnetic fields. Several models exist for describing the evolution of strongly magnetized plasmas, most of them by neglecting the collisions between particles. The subject matter of this paper is to investigate the effect of large magnetic fields with respect to a collision mechanism. We consider here linear collision Boltzmann operators and derive, by averaging with respect to the fast cyclotronic motion due to strong magnetic forces, their effective collision kernels.