Brownian fluctuations of kinetic energy under Lorentz force

TL;DR

This paper investigates the statistical fluctuations of kinetic energy in an underdamped Brownian particle influenced by Lorentz force, revealing detailed properties of its distribution and moments.

Contribution

It introduces a detailed analysis of kinetic energy fluctuations under Lorentz force, extending stochastic thermodynamics beyond heat and work.

Findings

Characterizes the kinetic energy distribution under Lorentz force

Analyzes the characteristic function and moments of kinetic energy

Provides insights into fluctuation behavior in driven Brownian systems

Abstract

In stochastic thermodynamics, significant attention has been given to studying the statistical behavior of thermodynamic quantities such as heat and work. However, fluctuations in other quantities, such as kinetic energy and internal energy, can also exhibit intriguing statistical properties. In this study, we investigate the fluctuations of kinetic energy within an initially equilibrated underdamped Brownian particle subsequently exposed to a Lorentz force, comprising both electric and magnetic fields. Providing insights through the examination of the characteristic function, central moments, and kinetic energy distribution.