Issue
EPL
Volume 88, Number 4, November 2009
Article Number 40009
Number of page(s) 4
Section General
DOI http://dx.doi.org/10.1209/0295-5075/88/40009
Published online 03 December 2009
EPL, 88 (2009) 40009
DOI: 10.1209/0295-5075/88/40009

Relativistic equilibrium distribution by relative entropy maximization

T. K. Nakamura

Fukui Prefectural University - 910-1195 Fukui, Japan

tadas@fpu.ac.jp

received 18 July 2009; accepted in final form 4 November 2009; published November 2009
published online 3 December 2009

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 Jüttner distribution, a number of papers have been published in recent years proposing alternative equilibrium states. Some of these papers do not pay enough attention to the covariance of distribution functions, resulting in confusion in equilibrium states. Starting from a fully covariant expression, it has been shown in the present paper that the Jüttner distribution is the maximum entropy state if we assume the Lorentz symmetry.

PACS
05.20.Dd - Kinetic theory.
51.10.+y - Kinetic and transport theory of gases.
02.50.Cw - Probability theory.

© EPLA 2009