Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process

F. Debbasch, D. Espaze, V. Foulonneau and J.-P. Rivet

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 15, 3797-3804

Abstract: The thermal relaxation of a relativistic particle diffusing in a fluid at equilibrium is investigated through a numerical study of the Relativistic Ornstein–Uhlenbeck Process. The spectrum of the relaxation operator has both a discrete and a continuous component. Both components are fully characterized and the limit between them is given a simple interpretation. Short-time relaxation is addressed separately, and a global effective relaxation time is also computed. The general conclusion is that relativistic effects slow down thermalization.

Keywords: Relativistic statistical physics; Diffusion (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:15:p:3797-3804

DOI: 10.1016/j.physa.2012.02.026

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