Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process
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| Title: | Thermal relaxation for the Relativistic Ornstein–Uhlenbeck Process |
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| Authors: | Debbasch, F.1 fabrice.debbasch@gmail.com, Espaze, D.1, Foulonneau, V.1, Rivet, J.-P.2 |
| Source: | Physica A. Aug2012, Vol. 391 Issue 15, p3797-3804. 8p. |
| Subjects: | Thermal analysis, Relativistic particles, Ornstein-Uhlenbeck process, Relaxation (Gas dynamics), Numerical analysis, Spectrum analysis, Diffusion |
| Abstract: | 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. [Copyright &y& Elsevier] |
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| Database: | Engineering Source |
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