Abstract
Previously it was demonstrated that the description of a multicomponent mixture by means of classical statistical mechanics in the class of sources of hydrodynamic type is equivalent to the hydrodynamic description, and the corresponding hydrodynamic model is nonlocal in space and time. In the present paper, the compatibility of this approach with the condition of nonnegative entropy production is examined. It is shown that the law of energy increase is obeyed for a class of sources even broader than that for which the reversibility of the transition from classical statistics to hydrodynamics has been initially proved.
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REFERENCES
O. Yu. Dinariev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 23 (1998).
O. Yu. Dinariev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 60 (1998).
D. N. Zubarev, Nonequilibrium Statistical Thermodynamics [in Russian], Nauka, Moscow (1971).
S. De Groot and P. Mazur, Nonequilibrium Thermodynamics [Russian translation], Mir, Moscow (1964).
L. I. Sedov, Mechanics of a Continuous Medium., Vol. 1 [in Russian], Nauka, Moscow (1973).
W. A. Day, Thermodynamics of Simple Media with Memory [Russian translation], Mir, Moscow (1974).
C. Trusdell, A Foundation Course on the Rational Mechanics of Continuous Media [Russian translation], Mir, Moscow (1975).
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Dinariev, O.Y. Nonnegative Hydrodynamic Entropy Production in Classical Statistical Mechanics. Russian Physics Journal 43, 1044–1048 (2000). https://doi.org/10.1023/A:1011368000486
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DOI: https://doi.org/10.1023/A:1011368000486