Thermodynamic Laws and Equipartition Theorem in Relativistic Brownian Motion

TL;DR

This paper extends stochastic energetics to relativistic Brownian motion, deriving thermodynamic laws and equipartition relations, and analyzing heat transfer and noise characteristics in a relativistic context.

Contribution

It introduces a relativistic framework for stochastic energetics, deriving thermodynamic laws and equipartition theorem for relativistic Brownian particles.

Findings

Thermodynamic laws are derived for relativistic Brownian motion.

The relativistic equipartition relation is established.

The relation between heat transfer rate and equipartition is discussed.

Abstract

We extend the stochastic energetics to a relativistic system. The thermodynamic laws and equipartition theorem are discussed for a relativistic Brownian particle and the first and the second law of thermodynamics in this formalism are derived. The relation between the relativistic equipartition relation and the rate of heat transfer is discussed in the relativistic case together with the nature of the noise term.