Relativistic Equilibrium Distribution by Relative Entropy Maximization

Details Relativistic Equilibrium Distribution by Relative Entropy Maximization Relativistic Equilibrium Distribution by Relative Entropy Maximization

2009-09-15

arxiv.org/abs/0909.2732v1

Physics

Condensed Matter

Statistical Mechanics

Six pages, no figures

Scientific paper

The equilibrium state of a relativistic gas has been calculated based on the maximum entropy principle. Though the relativistic equilibrium state was long believed to be the Juttner distribution, a number of papers have been published in recent years proposing alternative equilibrium states. However, some of these papers do not pay enough attention to the covariance of distribution functions, resulting confusion in equilibrium states. Starting from a fully covariant expression to avoid this confusion, it has been shown in the present paper that the Juttner distribution is the maximum entropy state if we assume the Lorentz symmetry.

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