Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids
Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 3, pp. 325-350 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper discusses one of the approaches to the kinetics and hydrodynamics of dense gases and liquids based on modification of Bogolyubov's conditions of correlation weakening for the Liouville equation for the nonequilibrium distribution function. An entropy of a nonequilibrium state that depends on both the kinetic and the hydrodynamic parameters is defined. Generalized transport equations are obtained for the hydrodynamic variables, and these equations are consistent with the kinetic equation for the single-particle distribution function.
@article{TMF_1993_96_3_a1,
     author = {D. N. Zubarev and V. G. Morozov and I. P. Omelyan and M. V. Tokarchuk},
     title = {Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {325--350},
     year = {1993},
     volume = {96},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a1/}
}
TY  - JOUR
AU  - D. N. Zubarev
AU  - V. G. Morozov
AU  - I. P. Omelyan
AU  - M. V. Tokarchuk
TI  - Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 325
EP  - 350
VL  - 96
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a1/
LA  - ru
ID  - TMF_1993_96_3_a1
ER  - 
%0 Journal Article
%A D. N. Zubarev
%A V. G. Morozov
%A I. P. Omelyan
%A M. V. Tokarchuk
%T Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 325-350
%V 96
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a1/
%G ru
%F TMF_1993_96_3_a1
D. N. Zubarev; V. G. Morozov; I. P. Omelyan; M. V. Tokarchuk. Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids. Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 3, pp. 325-350. http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a1/

[1] Zubarev D. N., Morozov V. G., TMF, 60:2 (1984), 270–279 | MR

[2] Zubarev D. N., Morozov V. G., Omelyan I. P., Tokarchuk M. V., TMF, 87:1 (1991), 113–129 | MR | Zbl

[3] Ernst M. H., van Beijeren H., Physica, 68:3 (1973), 437–456 | DOI

[4] Resibois P., J. Stat. Phys., 19:6 (1978), 593–603 | DOI | MR

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

[6] Zubarev D. N., “Sovremennye metody statisticheskoi teorii neravnovesnykh protsessov”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 157, VINITI, M., 1980, 131–220 | MR

[7] Zubarev D. N., Morozov V. G., Omelyan I. P., Tokarchuk M. V., Ob'edinenie kineticheskogo i gidrodinamicheskogo podkhodov v teorii plotnykh gazov i zhidkostei, preprint ITF-88-102R, ITF, Kiev, 1988

[8] Boon J., Yip S., Molecular hydrodynamics, N. Y., 1980 | Zbl

[9] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M., L., 1946 | MR

[10] Sergeev M. V., TMF, 21:3 (1974), 402–414 | MR | Zbl

[11] Tischenko S. V., TMF, 26:1 (1976), 96–108 | Zbl

[12] Mriglod I. M., Tokarchuk M. V., Do statistichnoi gidrodinamiki prostykh ridin. Uzagalneni koefitsienti perenosu, preprint-IFKS-91-6U, Lviv, 1991

[13] Tserkovnikov Yu. A., TMF, 63:3 (1985), 440–457 | MR

[14] Akcasu A. Z., Duderstadt J. J., Phys. Rev., 188:1 (1969), 479–486 | DOI

[15] Forster D., Martin P. C., Phys. Rev. A, 2:4 (1970), 1575–1590 | DOI | MR

[16] Kadanoff L. P., Martin P. C., Ann. Phys., 24:1 (1963), 419–469 | DOI | MR | Zbl

[17] Kalashnikov V. P., TMF, 34:3 (1978), 412–425 | MR

[18] Zubarev D. N., Morozov V. G., Omelyan I. P., Tokarchuk M. V., Ob'edinenie kineticheskogo i gidrodinamicheskogo podkhodov v teorii plotnykh gazov i zhidkostei. I. Vremennye korrelyatsionnye funktsii, preprint ITF-89-593, ITF, Kiev, 1989

[19] Mountain R. D., “Generalized Hydrodynamics”, Adv. in Mol. Relaxation Process, 9 (1976), 225 | DOI

[20] Van Well A. A., Verkerk P., de Graaf L. A., Suck J.-B., Copley J. R. D., Phys. Rev. A, 31:5 (1985), 3391–3414 | DOI

[21] S. Lavsi, T. Shpringer (red.), Dinamicheskie svoistva tverdykh tel i zhidkostei. Issledovaniya metodom rasseyaniya neitronov, Mir, M., 1980

[22] Alley W. E., Alder B. J., Phys. Rev. A, 27:6 (1983), 3158–3173 | DOI

[23] De Schepper I. M., van Rijs J. C., van Well A. A., Verkerk P., de Graaf L. A., Bruin C., Phys. Rev. A, 29:3 (1984), 1602–1605 | DOI

[24] Mountain R. D., Rev. Mod. Phys., 38:1 (1966), 205–214 | DOI

[25] Rezibua P., de Lener M., Klassicheskaya kineticheskaya teoriya zhidkostei i gazov, Mir, M., 1980

[26] De Schepper I. M., Cohen E. G. D., Bruin C., van Rijs J. C., Montfrooij W., de Graaf L. A., Phys. Rev. A, 38:1 (1988), 271–287 | DOI