Geodesic
Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 394-407 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The equations of quantum relativistic hydrodynamics, the transport relations and transport coefficients, and also the entropy balance equation are obtained dynamically in the framework of the nonequilibrium statistical operator method without the assumption that the state of the system is close to equilibrium. The laws of conservation of the energy, momentum, and total charge of a system in an external field are taken into account. The nonequilibrium state is described on the basis of the covariant quantum Liouville equation. 
@article{TMF_1979_40_3_a8,
     author = {D. N. Zubarev and A. V. Prozorkevich and S. A. Smolyanskii},
     title = {Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {394--407},
     year = {1979},
     volume = {40},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a8/}
}
TY  - JOUR
AU  - D. N. Zubarev
AU  - A. V. Prozorkevich
AU  - S. A. Smolyanskii
TI  - Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 394
EP  - 407
VL  - 40
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a8/
LA  - ru
ID  - TMF_1979_40_3_a8
ER  - 
%0 Journal Article
%A D. N. Zubarev
%A A. V. Prozorkevich
%A S. A. Smolyanskii
%T Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 394-407
%V 40
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a8/
%G ru
%F TMF_1979_40_3_a8
D. N. Zubarev; A. V. Prozorkevich; S. A. Smolyanskii. Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 394-407. http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a8/

[1] C. Eckart, Phys. Rev., 58 (1940), 919 | DOI | Zbl

[2] G. A. Kluitenberg, S. R. de Groot, P. Mazur, Physica, 19, 689 ; (1953), 1079 ; 20 (1954), 199 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR

[3] L. D. Landau, E. M. Lifshits, Mekhanika sploshnykh sred, GITTL, 1954

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

[5] D. N. Zubarev, DAN SSSR, 164 (1965), 65 ; Неравновесная статистическая термодинамика, «Наука», 1971, § 24

[6] N. A. Chernikov, Preprint OIYaI R-1264, Dubna, 1963 | MR

[7] W. Israel, J. Math. Phys., 4 (1963), 1163 | DOI | MR

[8] S. R. de Groot, Ch. G. van Weert, W. Th. Hermens, W. A. van Leeuwen, Physica, 40 (1968), 257 ; 40 (1969), 581 | DOI | MR | DOI

[9] W. A. van Leeuwen, S. R. de Groot, Physica, 51, 1 ; 16; (1971), 32

[10] S. R. de Groot, W. A. van Leeuwen, P. H. Meltzer, Nuovo Cim., 25A (1975), 229 | DOI

[11] K. Goto, Progr. Theor. Phys., 20 (1958), 1 | DOI | MR | Zbl

[12] S. R. de Groot, A. J. Kox, W. A. van Leeuwen, Physica, 84A (1976), 613 ; H. van Erkelens, W. A. van Leeuwen, Physica, 89A (1977), 225 ; 91A (1978), 88 | DOI

[13] W. Israel, J. N. Wardalas, Lett. Nuovo Cim., 4 (1970), 887 | DOI

[14] Th. J. Siskens, Ch. G. van Weert, Physica, 91A (1978), 303 | DOI

[15] Yu. S. Gangnus, A. V. Prozorkevich, S. A. Smolyanskii, TMF, 35 (1978), 68

[16] D. A. Kirzhnits, A. D. Linde, ZhETF, 67 (1974), 1263

[17] R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, TMF, 21 (1974), 247

[18] Kh. Meller, Einshteinovskii sbornik, 1971, «Nauka», 1972, s. 163 | MR

[19] H. Ezawa, Z. Tomozawa, H. Umezawa, Nuovo Cim., 5 (1957), 810 | DOI | MR | Zbl

[20] D. Ter Khaar, G. Vergeland, Einshteinovskii sbornik, 1972, «Nauka», 1974, s. 254 | MR

[21] R. Balescu, T. Kotera, E. Pina, Physica, 33 (1967), 581 | DOI | Zbl

[22] A. V. Prozorkevich, S. A. Smolyanskii, TMF, 28 (1976), 262 ; 31 (1977), 118 | MR

[23] Yu. Shvinger, Noveishee razvitie kvantovoi elektrodinamiki, Sb., IL, 1954, s. 12

[24] S. de Groot, P. Mazur, Neravnovesnaya termodinamika, «Mir», 1964

[25] M. A. Tonnela, Osnovy elektromagnetizma i teorii otnositelnosti, IL, 1962

[26] A. I. Akhiezer, S. V. Peletminskii, Metody statisticheskoi fiziki, «Nauka», 1977 | MR

[27] S. V. Tischenko, TMF, 26 (1976), 96 | MR | Zbl

[28] Ya. B. Zeldovich, ZhETF, 41 (1961), 1609

[29] S. V. Tischenko, TMF, 25 (1975), 407 | Zbl