H-theorem bypassing by 2D Brownian particle under discontinuous magnetic field

TL;DR

This paper investigates how 2D charged particles can bypass the H-theorem under certain conditions in a discontinuous magnetic field, challenging traditional assumptions of kinetic theory.

Contribution

It introduces a theoretical model showing conditions under which the H-theorem can be bypassed in a 2D charged particle system with a discontinuous magnetic field.

Findings

Conditions for bypassing the H-theorem are identified.

A diffusion equation is derived under these conditions.

The model discusses the physical feasibility of these conditions.

Abstract

In the present paper, we theoretically study the kinetic properties of 2D charged particles under a discontinuous magnetic field. It is shown that certain conditions could cause their bypassing of the H-theorem. We use the classical kinetic equation to derive the diffusion equation for the case. The essential postulates are made for modeling: (i) the motion of the particles is restricted by a rectangular region; (ii) the mobility of the particles goes to zero while they came closer to borders; (iii) the Coulomb interaction between particles is absent; (iv)the interaction between charged particles and the medium does not change the total momentum of the medium. The achievability of the conditions is discussed.