Geodesic
Method of two-time Green's functions in molecular hydrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 440-457 
Yu. A. Tserkovnikov. Method of two-time Green's functions in molecular hydrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 440-457. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a11/
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     author = {Yu. A. Tserkovnikov},
     title = {Method of two-time {Green's} functions in molecular hydrodynamics},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The hierarchy of equations for the sequence of irreducible two-time thermal Green's functions is used to construct correlation functions for the densities of the conserved quantities (particle number, energy, and momentum) that are valid in both the hydrodynamic region as well as at high frequencies. Equations are obtained that in a self-consistent manner determine from “first principles” the transport coefficients of a system of interacting particles and the static susceptibilities that appear as initial data in the equations of the hierarchy.

[1] Bogolyubov N. N., Tyablikov S. V., DAN SSSR, 126:1 (1959), 53–56 | Zbl

[2] Zubarev D. N., UFN, 71:1 (1960), 71–116 | DOI | MR

[3] Kubo R., J. Phys. Soc. Japan, 12:6 (1957), 570–586 | DOI | MR

[4] Kadanoff L. P., Martin P. C., Ann. Phys. (N. Y.), 24 (1963), 419–469 | DOI | MR | Zbl

[5] Forster D., Hydrodynamic Fluctuation, Broken Symmetry and Correlations, W. A. Benjamin, Inc., 1957; Forster D., Gidrodinamicheskie fluktuatsii, narushennaya simmetriya i korrelyatsionnye funktsii, Atomizdat, M., 1980

[6] Boon J. P., Yip S., Molecular Hydrodynamics, Mc. Grow-Hill Inc., 1980

[7] Götze W., Lücke M., Phys. Rev., A11:6 (1975), 2183–2190

[8] Bosse J., Götze W., Phys. Rev., A17:1 (1978), 434–446 | DOI | MR

[9] Tserkovnikov Yu. A., TMF, 49:2 (1981), 219–233 | MR

[10] Tserkovnikov Yu. A., TMF, 50:2 (1982), 261–271 | MR

[11] Tserkovnikov Yu. A., TMF, 52:1 (1982), 147–160

[12] Schofield P., Physics of Simple Liquid, Amsterdam, 1968; Skofild P., “Eksperimentalnye dannye o korrelyatsionnykh funktsiyakh v prostykh zhidkostyakh”, Fizika prostykh zhidkostei, Mir, M., 1971, 193–240

[13] Khill T., Statisticheskaya mekhanika, IL, M., 1960

[14] Bosse J., Munakata T., Phys. Rev., A25:5 (1982), 2763–2777 | DOI