A charged particle in a magnetic field - Jarzynski Equality

TL;DR

This paper explores solvable models of a charged particle in a magnetic field to illustrate the Jarzynski equality and its relation to classical thermodynamics, demonstrating how fluctuation theorems complement existing theorems.

Contribution

It introduces specific solvable models involving a charged particle in magnetic fields to demonstrate the Jarzynski equality and its connection to classical theorems.

Findings

Jarzynski identity complements Bohr-van Leeuwen theorem

Models show the applicability of fluctuation theorems in classical systems

Analysis of particle behavior under translation and ac forces

Abstract

We describe some solvable models which illustrate the Jarzynski theorem and related fluctuation theorems. We consider a charged particle in the presence of magnetic field in a two dimensional harmonic well. In the first case the centre of the harmonic potential is translated with a uniform velocity, while in the other case the particle is subjected to an ac force. We show that Jarzynski identity complements Bohr-van Leeuwen theorem on the absence of diamagnetism in equilibrium classical system.