Geodesic
Thermodynamic limit for many-temperature mixtures of classical neutral particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 1, pp. 100-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of a thermodynamic limit (Van Hove's theorem) is proved for classical systems of neutral particles under more general assumptions than hitherto adopted. Namely, manytemperature systems, i.e., systems in which there are restrictions on the exchange of energy between certain degrees of freedom (say translational and vibrational) are considered. In addition, the conditions on the interaction potential under which the theorem proved is true and discussed. In particular, it is shown that the thermodynamic limit in the configuration microeanonical ensemble exists without the assumption of stability of the interaction. All the proofs are given for mixtures of partices of several species. 
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S. S. Vallander. Thermodynamic limit for many-temperature mixtures of classical neutral particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 1, pp. 100-111. http://geodesic.mathdoc.fr/item/TMF_1974_20_1_a9/

[1] L. Van Hove, Physica, 15 (1949), 951 | DOI | Zbl

[2] D. Ruelle, Helv. Phys. Acta, 36 (1963), 133 | MR

[3] R. L. Dobrushin, Teor. veroyatn. i ee primen., 9 (1964), 626 | Zbl

[4] M. E. Fisher, Arch. Rat. Mech. Anal., 17 (1964), 377 | DOI | MR

[5] R. A. Minlos, A. Ya. Povzner, Tr. mosk. matem. ob-va, 17 (1967), 243

[6] D. Ryuel, Statisticheskaya mekhanika, «Nauka», 1971

[7] S. S. Vallander, TMF, 19 (1974), 97 | MR

[8] V. N. Zhigulev, Inzh. zhurn., 3 (1963) | Zbl

[9] M. A. Leontovich, Statisticheskaya fizika, Gostekhizdat, 1944

[10] M. V. Volkenshtein, M. A. Elyashevich, B. I. Stepanov, Kolebaniya molekul, t. 1, Gostekhizdat, 1949

[11] R. Tompson, Preprint, 1972

[12] Dzh. Kelli, Obschaya topologiya, «Nauka», 1968 | MR

[13] R. A. Minlos, Funkts. analiz i ego pril., 1:2 (1967), 60 | MR | Zbl