Geodesic
Derivation of irreversibility of thermodynamic processes from microscopic reversibility
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 1, pp. 74-88 
R. L. Stratonovich. Derivation of irreversibility of thermodynamic processes from microscopic reversibility. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 1, pp. 74-88. http://geodesic.mathdoc.fr/item/TMF_1978_36_1_a6/
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     author = {R. L. Stratonovich},
     title = {Derivation of irreversibility of thermodynamic processes from microscopic reversibility},
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     volume = {36},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_36_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Under the assumption that the random internal thermodynamic parameters $B_\alpha(t)$ are the components of a reversible Markov process it is shown that the change in the free energy $\Psi(A)$, where $A_\alpha=\langle B_\alpha\rangle$ are nonequilibrium mean values, is irreversible. The methods of Markovian nonlinear nonequilibrium thermodynamics are used.

[1] L. Boltsman, Lektsii po teorii gazov, GITTL, 1956

[2] S. Chepmen, T. Kauling, Matematicheskaya teoriya neodnorodnykh gazov, IL, 1960 | MR

[3] I. Prigozhin, Neravnovesnaya statisticheskaya mekhanika, «Mir», 1964

[4] Balescu R., Equilibrium and nonequilibrium statistical mechanics, J. Wiley, 1975 | MR | Zbl

[5] R. L. Stratonovich, Vestn. MGU, fiz., astronom., 1967, no. 4, 84 ; 1969, No 1, 40 | MR | MR

[6] R. L. Stratonovich, Vestn. MGU, fiz., astronom., no. 5, 479 ; 1970, No 6, 699 | MR

[7] R. L. Stratonovich, Izbrannye voprosy teorii fluktuatsii v radiotekhnike, «Sov. radio», 1961 | Zbl

[8] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, chast 1, «Nauka», 1976 | MR

[9] R. L. Stratonovich, Vestn. MGU, fiz., astronom., 1962, no. 5, 16