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Time parameters and Lorentz transformations of relativistic stochastic processes

Time parameters and Lorentz transformations of relativistic stochastic processes

Physical Review. E Statistical Nonlinear and Soft Matter Physics 79(1 Pt 1): 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-parametrized process approaches the relativistic Jüttner-Maxwell distribution, the associated proper-time-parametrized process converges to a modified momentum distribution, differing by a factor proportional to the inverse energy.

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Accession: 056584222

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PMID: 19256987

DOI: 10.1103/physreve.79.010101

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