Energy and entropy of relativistic diffusing particles

TL;DR

This paper analyzes the energy and entropy dynamics of relativistic diffusing particles, deriving exact time-dependent expressions for a photon beam in thermal equilibrium, and explores thermodynamic laws in this context.

Contribution

It provides a novel exact solution for the energy and entropy evolution of relativistic diffusing particles, specifically photons, within a thermal reservoir.

Findings

Derived exact time dependence of energy, entropy, and free energy for photon beams.

Established thermodynamic consistency for relativistic diffusion processes.

Analyzed energy-momentum tensor and second law of thermodynamics in this setting.

Abstract

We discuss energy-momentum tensor and the second law of thermodynamics for a system of relativistic diffusing particles. We calculate the energy and entropy flow in this system. We obtain an exact time dependence of energy, entropy and free energy of a beam of photons in a reservoir of a fixed temperature.