Time parameters and Lorentz transformations of relativistic stochastic processes

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.

5 pages, 1 figure

References in corpus (2)

• Thermal equilibrium and statistical thermometers in special relativity
• Relative entropy, Haar measures and relativistic canonical velocity distributions

Cited by in corpus (1)

• Relativistic Brownian Motion