arXiv · hep-ph/9312286
Equilibrium Relativistic Mass Distribution
Abstract
The relativistic Maxwell-Boltzmann distribution for the system of $N$ events with motion in space-time parametrized by an invariant ``historical time'' $τ$ is considered without the simplifying approximation $m^2\cong M^2$, where $M$ is a given intrinsic property of the events. The relativistic mass distribution is obtained and the average values of $m$ and $m^2$ are calculated. The average value of the energy in nonrelativistic limit gives a correction of the order of 10\% to the Dulong-Petit law. Expressions for the pressure and the density of events are obtained and the ideal gas law is recovered.
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L. Burakovsky, L. P. Horwitz. 1993-12-15. Equilibrium Relativistic Mass Distribution. https://doi.org/10.1016/0378-4371(93)90135-q
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