Brownian motion approach to the ideal gas of relativistic particles

Details Brownian motion approach to the ideal gas of relativistic particles Brownian motion approach to the ideal gas of relativistic particles

2003-10-06

arxiv.org/abs/cond-mat/0310113v1

Phys. Lett. A 345 (2005) 323-329

Physics

Condensed Matter

4 figs

Scientific paper

10.1016/j.physleta.2005.07.049

The relativistic generalization of a free Brownian motion theory is presented. The global characteristics of the relaxation are {\it explicitly} found for the velocity and momentum (stochastic) kinetics. It is shown that the thermal corrections, to the both relaxation times $T$ (of stationary autocorrelations) and transient relaxation time of momentum, appear slowing down the processes. The transient relaxation time of the velocity does not depend {\it explicitly} on temperature, $T(v_0)= m(v_0)/\gamma \equiv \epsilon_0/\gamma c^2$, and it is proportional to the initial energy of a relativistic Brownian particle.

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