Time parameters and Lorentz transformations of relativistic stochastic processes.
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.
Dunkel
Jörn
J
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom. jorn.dunkel@physics.ox.ac.uk
Hänggi
Peter
P
Weber
Stefan
S