Maxwell-Juttner distributions in relativistic molecular dynamics

Details Maxwell-Juttner distributions in relativistic molecular dynamics Maxwell-Juttner distributions in relativistic molecular dynamics

2005-09-30

arxiv.org/abs/cond-mat/0509789v2

Physics

Condensed Matter

Statistical Mechanics

9 pages, RevTex4, 8 figures .ps;contribution to the international conference "Next Sigma Phi" on News, EXpectations, and Trend

Scientific paper

10.1140/epjb/e2006-00117-x

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.

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