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 TMF, 1974, Volume 20, Number 1, Pages 100–111 (Mi tmf3707)

Thermodynamic limit for many-temperature mixtures of classical neutral particles

S. S. Vallander

Abstract: 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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English version:
Theoretical and Mathematical Physics, 1974, 20:1, 694–703

Bibliographic databases:

Citation: S. S. Vallander, “Thermodynamic limit for many-temperature mixtures of classical neutral particles”, TMF, 20:1 (1974), 100–111; Theoret. and Math. Phys., 20:1 (1974), 694–703

Citation in format AMSBIB
\Bibitem{Val74} \by S.~S.~Vallander \paper Thermodynamic limit for many-temperature mixtures of classical neutral particles \jour TMF \yr 1974 \vol 20 \issue 1 \pages 100--111 \mathnet{http://mi.mathnet.ru/tmf3707} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=468949} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 20 \issue 1 \pages 694--703 \crossref{https://doi.org/10.1007/BF01038761}