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Maxwell-Juttner distributions in relativistic molecular dynamics

A. Aliano·L. Rondoni·G. P. Morriss
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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 $p^α$. 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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A. Aliano, L. Rondoni, G. P. Morriss. 2005-11-29. Maxwell-Juttner distributions in relativistic molecular dynamics. https://doi.org/10.1140/epjb%2Fe2006-00117-x

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