Relativistic Equilibrium Distribution by Relative Entropy Maximization

Abstract

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.

Six pages, no figures

References in corpus (5)

• Thermal equilibrium and statistical thermometers in special relativity
• Relative entropy, Haar measures and relativistic canonical velocity distributions
• Covariant Equilibrium Statistical Mechanics
• Invariance of the relativistic one-particle distribution function
• Stationarity, soft ergodicity, and entropy in relativistic systems

Cited by in corpus (6)

• Single-particle velocity distributions of collisionless, steady-state plasmas must follow Superstatistics
• Lorentz Transform of Black Body Radiation Temperature
• Time parameterization and stationary distributions in a relativistic gas
• Anisotropic Jüttner (relativistic Boltzmann) distribution
• Heat transport and diffusion in a canonical model of a relativistic gas
• A Note on the Entropy Force in Kinetic Theory and Black Holes