FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 6, PAGES 167-199

**Thermodynamic pressure and its fluctuations in a classical ideal
gas of relativistic particles**

Yu. G. Rudoy

Yu. P. Rybakov

I. Keita

Abstract

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The full and consecutive analysis is carried on for the dynamic and
thermodynamic properties of an ideal gas of relativistic particles
with Lorentz--Einstein dispersion law and arbitrary number of
translational degrees of freedom.
Gibbs statistical mechanics is used along with the Bogolyubov's
concept of quasiaverages and the generalized version of
Bogolyubov--Zubarev theorem in the classical regime well beyond the
temperature of the quantum degeneracy.
The general expressions are found for a pair of equations of
state, namely thermic (for the pressure) and caloric (for the inner
energy); the fluctuations of these quantities are also found: the
compressibility and heat capacity, respectively.
All expressions are found in closed form and studied in low- and
high-temperature limits.

Location: http://mech.math.msu.su/~fpm/eng/k09/k096/k09612h.htm

Last modified: October 13, 2010