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The relativistic Poincaré model. (English. Russian original) Zbl 1186.83023
Dokl. Math. 80, No. 2, 769-774 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 171-176 (2009).
The paper considers the Poincaré model with relativistic corrections taken into account, i.e. a classical ideal gas consisting of relativistic particles. It is shown that the density of such a gas tends to a uniform density both as time unboundedly increases and decreases. Approximate equations describing the density evolution are obtained.
83C10 Equations of motion in general relativity and gravitational theory
82D05 Statistical mechanics of gases
83A05 Special relativity
82C21 Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics
Full Text: DOI
[1] H. Poincaré, in Selected Works (Nauka, Moscow, 1974) [in Russian].
[2] V. V. Kozlov, Thermal Equilibrium According to Gibbs and Poincaré (Izhevsk, 2002) [in Russian].
[3] V. V. Kozlov, Reg. Chaotic Dyn., No. 1, 23–34 (2004).
[4] V. V. Kozlov and O. G. Smolyanov, Teor. Veroyatn. Ee Primen. 51(2), 1–18 (2006).
[5] I. P. Pavlotskii, Foundations of Weakly Relativistic Statistical Mechanics (Vysshaya Shkola, Moscow, 1982) [in Russian].
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