EQUILIBRIUM RELATIVISTIC MASS-DISTRIBUTION

The relativistic Maxwell-Boltzmann distribution for a system of N events with motion in space-time parametrized by an invariant ''historical time'' tau is considered without the simplifying approximation m2 is-approximately-equal-to M2, where M is a given intrinsic property of the events. The relativistic mass distribution is obtained and the average values of m and M2 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.