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arXiv · 0812.0466

Time parameters and Lorentz transformations of relativistic stochastic processes

Jörn Dunkel·Peter Hänggi·Stefan Weber
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Abstract

Rules for the transformation of time parameters in relativistic Langevin equations are derived and discussed. In particular, it is shown that, if a coordinate-time parameterized process approaches the relativistic Juttner-Maxwell distribution, the associated proper-time parameterized process converges to a modified momentum distribution, differing by a factor proportional to the inverse energy.

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Jörn Dunkel, Peter Hänggi, Stefan Weber. 2008-12-02. Time parameters and Lorentz transformations of relativistic stochastic processes. https://doi.org/10.1103/physreve.79.010101

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