Time parameters and Lorentz transformations of relativistic stochastic processes

J\"orn Dunkel; Peter H\"anggi; Stefan Weber

Time parameters and Lorentz transformations of relativistic stochastic processes

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arxiv 0812.0466 v1 pith:BET2OG3G submitted 2008-12-02 cond-mat.stat-mech astro-phhep-th

Time parameters and Lorentz transformations of relativistic stochastic processes

J\"orn Dunkel , Peter H\"anggi , Stefan Weber This is my paper

classification cond-mat.stat-mech astro-phhep-th

keywords relativisticdistributionparameterizedparametersprocesstimeapproachesassociated

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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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