Equilibrium relativistic mass distribution

L. Burakovsky; L. P. Horwitz

doi:10.1016/0378-4371(93)90135-Q

Equilibrium relativistic mass distribution

L. Burakovsky, L. P. Horwitz

Department of Physics - at Bar-Ilan University

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The relativistic Maxwell-Boltzmann distribution for a system of N events with motion in space-time parametrized by an invariant "historical time" τ is considered without the simplifying approximation m² ≅ 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.

Original language	English
Pages (from-to)	666-679
Number of pages	14
Journal	Physica A: Statistical Mechanics and its Applications
Volume	201
Issue number	4
DOIs	https://doi.org/10.1016/0378-4371(93)90135-Q
State	Published - 15 Dec 1993

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abstract = "The relativistic Maxwell-Boltzmann distribution for a system of N events with motion in space-time parametrized by an invariant {"}historical time{"} τ is considered without the simplifying approximation m2 ≅ 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.",

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AB - The relativistic Maxwell-Boltzmann distribution for a system of N events with motion in space-time parametrized by an invariant "historical time" τ is considered without the simplifying approximation m2 ≅ 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.

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Equilibrium relativistic mass distribution

Abstract

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