title: 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-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.
authors.affiliation: Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom. jorn.dunkel@physics.ox.ac.uk
authors.forename: Jörn
authors.initials: J
authors.lastname: Dunkel
authors.forename: Peter
authors.initials: P
authors.lastname: Hänggi
authors.forename: Stefan
authors.initials: S
authors.lastname: Weber