Time parameterization and stationary distributions in a relativistic gas

Details Time parameterization and stationary distributions in a relativistic gas Time parameterization and stationary distributions in a relativistic gas

2009-08-26

arxiv.org/abs/0908.3753v1

Phys. Rev. E 82, 011110 (2010)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures

Scientific paper

In this paper we consider the effect of different time parameterizations on the stationary velocity distribution function for a relativistic gas. We clarify the distinction between two such distributions, namely the J\"{u}ttner and the modified J\"{u}ttner distributions. Using a recently proposed model of a relativistic gas, we show that the obtained results for the proper-time averaging does not lead to modified J\"{u}ttner distribution (as recently conjectured), but introduces only a Lorentz factor $\gamma$ to the well-known J\"{u}ttner function which results from observer-time averaging. We obtain results for rest frame as well as moving frame in order to support our claim.

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