Geodesic
Statistical thermodynammics of turbulent transport processes
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 1, pp. 93-107 
D. N. Zubarev. Statistical thermodynammics of turbulent transport processes. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 1, pp. 93-107. http://geodesic.mathdoc.fr/item/TMF_1982_53_1_a9/
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     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_1_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The method of nonequilibrium statistical thermodynamics is applied to the theory of transport processes in a liquid in the presence of strong fluctuations. The distribution functional of the densities of the momentum, energy, and particle number satisfies a Fokker–Planck equation and determines the entropy of a state with strong fluctuations. This makes it possible to obtain not only a hierarchy of Reynolds equations but also an entropy production that gives expression to the second law of thermodynamics.

[1] Green M. S., J. Chem. Phys., 20 (1952), 1281–1285 ; 22 (1954), 381–413 | DOI | MR | DOI

[2] Zubarev D. N., Neravnovesnaya statisticheskaya termodinamika, Nauka, M., 1971

[3] Zubarev D. N., TMF, 46:1 (1981), 71–85 | MR

[4] Zubarev D. N., Khazanov A. M., TMF, 34:1 (1978), 69–80 | MR

[5] Zubarev D. N., Kalashnikov V. P., TMF, 7:3 (1971), 372–394 | Zbl

[6] Zwanzig R., Phys. Rev., 124 (1961), 983 | DOI | Zbl

[7] Kavasaki K., Kvantovaya teoriya polya i fizika fazovykh perekhodov, Sb., per. s angl., Mir, M., 1975

[8] Edwards S. F., J. Fluid Mech., 5 (1964), 239 | DOI | MR

[9] Nelkin M., Phys. Rep., A9 (1974), 388

[10] Landau D., Lifshits E. M., ZhETF, 32 (1957), 618 | Zbl

[11] Van Saarloos W., Bedeaux D., Mazur P., Physica, 110A (1982), 147

[12] Zubarev D. N., DAN SSSR, 45:4 (1954), 757–760 | MR

[13] Yukhnovskii I. R., Golovko M. F., Statisticheskaya teoriya klassicheskikh ravnovesnykh sistem, Gl. II, Naukova dumka, Kiev, 1980 | MR

[14] Turbulentnost. Printsipy i primeneniya, Mir, M., 1981

[15] Safmen P., Strannye atraktory, Sb., Mir, M., 1981

[16] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

[17] Brushlinskaya N. N., DAN SSSR, 195:5 (1964), 1017–1020 | MR

[18] Dalzhanskii F. V., Klyatskin V. I., Obukhov A. M., Chusov M. A., Nelineinye sistemy gidrodinamicheskogo tipa, Mir, M., 1974

[19] Yahata H., Suppl. Prog. Theor. Phys., 64 (1978), 176–185 | DOI

[20] Lücke M., Suppl. Prog. Theor. Phys., 64 (1978), 124–136 | DOI

[21] Graham R., Springer Tracts in Modern Physics, 66, N-Y, 1973 | DOI

[22] Horshemke W., Bech A., Z. Phys., B22 (1975), 189