Thermodynamic Laws and Equipartition Theorem in Relativistic Brownian Motion

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.

19 pages, 2 figures, Phys. Rev. E in press

References in corpus (5)

• Relativistic Brownian Motion
• On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
• A closer look at the influence of tubular initial conditions on two-particle correlations
• Invariance of the relativistic one-particle distribution function
• Relativistic Brownian motion: From a microscopic binary collision model to the Langevin equation

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