Dunkel Jörn, Hänggi Peter, Weber Stefan
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jan;79(1 Pt 1):010101. doi: 10.1103/PhysRevE.79.010101. Epub 2009 Jan 21.
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.
推导并讨论了相对论性朗之万方程中时间参数变换的规则。特别地，结果表明，如果一个以坐标时间为参数的过程趋近于相对论性尤特纳 - 麦克斯韦分布，那么与之相关的以原时为参数的过程会收敛到一个修正的动量分布，该分布相差一个与能量倒数成比例的因子。
