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Maxwell-Jüttner distributions in relativistic molecular dynamics

Author

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  • A. Aliano
  • L. Rondoni
  • G. P. Morriss

Abstract

In relativistic kinetic theory, which underlies relativistic hydrodynamics, the molecular chaos hypothesis stands at the basis of the equilibrium Maxwell-J $\ddot{\mbox{u}}$ ttner 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-J $\ddot{\mbox{u}}$ ttner distributions for our model. Two linear relations between temperature and average kinetic energy are obtained in classical and ultrarelativistic regimes. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • A. Aliano & L. Rondoni & G. P. Morriss, 2006. "Maxwell-Jüttner distributions in relativistic molecular dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 361-365, March.
    • Handle: RePEc:spr:eurphb:v:50:y:2006:i:1:p:361-365
    DOI: 10.1140/epjb/e2006-00117-x
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