München 2006 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 102: Mathematische Methoden

GR 102.2: Talk

Monday, March 20, 2006, 16:50–17:10, K

A Relativistic Fluctuation Theorem — •Axel Fingerle — Max Planck Institute for Dynamics and Self-Organization, Bunsenstrasse 10, 37073 Goettingen

In the description of nonequilibrium systems, powerful general statements on the entropy production have become known as Fluctuation Theorems within the last ten years. Based on recent results of P. Hänggi and J. Dunkel [Phys. Rev. E, 71 016124; Phys. Rev. E, 72 036106 (2005)], a Fluctuation Theorem for special-relativistic Brownian motion is proven that remains valid in the high temperature limit. Beyond special relativity, the Fluctuation Theorem is stated for cosmological standard models. Since the Fluctuation Theorem establishes the existence of a thermodynamic arrow of time, two formulations are given: one for a time reversion map Π inverting the cosmic expansion, and one for Π acting only locally.