Time parameters and Lorentz transformations of relativistic stochastic processes

Details Time parameters and Lorentz transformations of relativistic stochastic processes Time parameters and Lorentz transformations of relativistic stochastic processes

2008-12-02

arxiv.org/abs/0812.0466v1

Phys.Rev.E79:010101,2009

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevE.79.010101

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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