Time parameters and Lorentz transformations of relativistic stochastic processes
Statistical Mechanics
2009-03-04 v1 Astrophysics
High Energy Physics - Theory
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.
Cite
@article{arxiv.0812.0466,
title = {Time parameters and Lorentz transformations of relativistic stochastic processes},
author = {Jörn Dunkel and Peter Hänggi and Stefan Weber},
journal= {arXiv preprint arXiv:0812.0466},
year = {2009}
}
Comments
5 pages, 1 figure