Maxwell-Juttner distributions in relativistic molecular dynamics

Abstract

In relativistic kinetic theory, which underlies relativistic hydrodynamics, the molecular chaos hypothesis stands at the basis of the equilibrium Maxwell-Juttner probability distribution for the four-momentum $p^{\alpha }$. We investigate the possibility of validating this hypothesis by means of microscopic relativistic dynamics. We do this by introducing a model of relativistic colliding particles, and studying its dynamics. We verify the validity of the molecular chaos hypothesis, and of the Maxwell-Juttner distributions for our model. Two linear relations between temperature and average kinetic energy are obtained in classical and ultrarelativistic regimes.

9 pages, RevTex4, 8 figures .ps;contribution to the international conference "Next Sigma Phi" on News, EXpectations, and Trends in statistical physics, Crete 2005