Geodesic
Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. I. Basic relations
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 2, pp. 286-310 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Nonequilibrium thermofield dynamics is developed on the basis of the nonequilibrium statistical operator. General transport equations are obtained in the thermofield representation, and the kinetic and hydrodynamic limiting cases are considered. 
@article{TMF_1991_88_2_a7,
     author = {D. N. Zubarev and M. V. Tokarchuk},
     title = {Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. {I.~Basic} relations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {286--310},
     year = {1991},
     volume = {88},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a7/}
}
TY  - JOUR
AU  - D. N. Zubarev
AU  - M. V. Tokarchuk
TI  - Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. I. Basic relations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 286
EP  - 310
VL  - 88
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a7/
LA  - ru
ID  - TMF_1991_88_2_a7
ER  - 
%0 Journal Article
%A D. N. Zubarev
%A M. V. Tokarchuk
%T Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. I. Basic relations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 286-310
%V 88
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a7/
%G ru
%F TMF_1991_88_2_a7
D. N. Zubarev; M. V. Tokarchuk. Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. I. Basic relations. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 2, pp. 286-310. http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a7/

[1] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1973 | MR | Zbl

[2] Itsikson K., Zyuber Zh. B., Kvantovaya teoriya polya, T. 1, 2, Mir, M., 1984 | MR

[3] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[4] Ramon P., Teoriya polya. Sovremennyi vvodnyi kurs, Mir, M., 1984 | MR

[5] Efimov G. V., Problemy kvantovoi teorii nelokalnykh vzaimodeistvii, Nauka, M., 1985 | MR | Zbl

[6] Popov V. N., Kontinualnye integraly v kvantovoi teorii polya i statisticheskoi fizike, Atomizdat, M., 1976 | MR

[7] Radzharaman R., Solitony i instantony v kvantovoi teorii polya, Mir, M., 1985

[8] Cheng T. P., Li L. F., Kalibrovochnye teorii v fizike elementarnykh chastits, Mir, M., 1987

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

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

[11] Akhiezer A. I., Peletminskii S. V., Metody statisticheskoi mekhaniki, Nauka, M., 1977 | MR

[12] N. N. Bogolyubov (red.), Statisticheskaya fizika i kvantovaya teoriya polya, Nauka, M., 1973 | MR | Zbl

[13] Balesku R., Ravnovesnaya i neravnovesnaya statisticheskaya mekhanika, T. 1, 2, Mir, M., 1978 | MR

[14] Zubarev D. N., “Sovremennye metody statisticheskoi teorii neravnovesnykh protsessov”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 15, VINITI, M., 1980, 131–226 | MR

[15] Zubarev D. N., Tserkovnikov Yu. A., “Metod dvukhvremennykh temperaturnykh funktsii Grina v ravnovesnoi i neravnovesnoi statisticheskoi mekhanike”, Tr. MIAN SSSR, 175, 1986, 134–177 | MR

[16] Repke G., Neravnovesnaya statisticheskaya mekhanika, Mir, M., 1990 | MR

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

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

[19] Bonch-Bruevich V. L., Tyablikov S. V., Metod funktsii Grina v statisticheskoi mekhanike, Fizmatgiz, M., 1961 | MR

[20] Abrikosov A. A., Gorkov L. P., Dzyaloshinskii I. E., Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, M., 1962 | MR | Zbl

[21] Tyablikov S. V., Metody kvantovoi teorii magnetizma, 2-e izd., Nauka, M., 1975 | MR

[22] Vilson K., Kogut Dzh., Renormalizatsionnaya gruppa i $\varepsilon$-razlozhenie, Mir, M., 1975

[23] Kvantovaya teoriya polya i fizika fazovykh perekhodov, Novosti fundamentalnoi fiziki, Mir, M., 1975

[24] Umedzava Kh., Matsumoto Kh., Tatiki M., Termopolevaya dinamika i kondensirovannye sostoyaniya, Mir, M., 1985

[25] Leplae L., Umezawa H., Mancini F., Phys. Rep., C10:4 (1974), 151–272 | DOI

[26] Takahashi Y., Umezawa H., Collective Phenomena, 2:2 (1975), 55–80 | MR

[27] Arimitsu T., Umezawa H., Progr. Theor. Phys., Progr. Let., 75:2 (1985), 429–432 | DOI | MR

[28] Arimitsu T., Umezawa H., Progr. Theor. Phys., 77:1 (1987), 32–52 | DOI

[29] Arimitsu T., Umezawa H., Progr. Theor. Phys., 77:1 (1987), 53–67 | DOI | MR

[30] Fano V., Rev. Mod. Phys., 29:1 (1957), 74–93 | DOI | MR | Zbl

[31] Schmutz M., Z. Phys., B30:1 (1978), 97–107 | MR

[32] Blum K., Teoriya matritsy plotnosti i ee prilozheniya, Mir, M., 1983 | MR

[33] Gabriel H., Phys Rev., 181:2 (1969), 506–521 | DOI

[34] Nakajima S., Progr. Theor. Phys., 20:6 (1958), 848–959 | DOI | MR

[35] Zwanzig R., J. Chem. Phys., 33:5 (1960), 1338–1341 ; Physica, 30 (1964), 1109–1123 | DOI | MR | DOI | MR

[36] Umezawa H., Yamanaka Y., Advan. Phys., 37:5 (1988), 531–557 | DOI

[37] Arimitsu T., Pradko J., Umezawa H., Physica A, 135:2 (1986), 487–504 | DOI | MR

[38] Nakamura K., Yamanaka Y., Umezawa H., Physica A, 152:1 (1988), 29–50 | DOI | MR

[39] Arimitsu T., Guida M., Umezawa H., Physica A, 148:1 (1988), 1–26 | DOI | MR

[40] Arimitsu T., Umezawa H., Yamanaka Y., Papastamation N., Physica A, 148:1 (1988), 27–45 | DOI | MR

[41] Arimitsu T., Physica A, 148:3 (1988), 427–455 | DOI | MR

[42] Arimitsu T., Physica A, 158:1 (1989), 371–385 | DOI | MR

[43] Matsumoto H., Progr. Theor. Phys., 79:2 (1988), 373–396 | DOI

[44] Matsumoto H., Progr. Theor. Phys., 79:3 (1988), 627–644 | DOI

[45] Matsumoto H., Physica, A158:1 (1989), 291–305 | DOI

[46] Shirai I., Jimbo M., Kon T., J. Phys. Soc. Japan, 1989, no. 7, 2597–2598 | DOI

[47] Hardman J., Umezawa H., Yamanaka Y., Physica A, 158:1 (1989), 326–335 | DOI

[48] Kawasaki K., Gunton J. D., Phys. Rev. A, 8:4 (1973), 2048–2064 | DOI | MR

[49] Jackiw R., Physica A, 158:1 (1989), 269–290 | DOI | MR

[50] Bibilashvili T. M., Paziashvili I. V., Real-time finite-temperature Green functions for nonuniform nonstationary media, Preprint-HE-3, Tbilisi, 1990

[51] Niemi A. J., Semenoff G. W., Ann. Phys., 152:1 (1984), 105–130 | DOI | MR

[52] Zubarev D. N., Tokarchuk M. V., Neravnovesnaya termopolevaya dinamika i metod neravnovesnogo statisticheskogo operatora, Preprint-89-68R, ITF AN USSR, Kiev, 1989

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

[54] Morozov V. G., TMF, 47:3 (1981), 407–418 | MR

[55] Arimitsu T., Umezawa H., Yamanaka Y., J. Math. Phys., 28:1 (1987), 2741–2752 | DOI | MR | Zbl

[56] Matsumoto H., Umezawa H., Whitehed J. P., Progr. Theor. Phys., 76:1 (1986), 260–282 | DOI

[57] Hosoja A., Sakadami M., Takao M., Ann. Phys., 154 (1984), 229–252 | DOI | MR

[58] Dzyaloshinskii I. E., ZhETF, 15:3 (1962), 778–795 | MR

[59] Zubarev D. N., Prozorkevich A. V., Smolyanskii S. A., TMF, 40:3 (1979), 394–407 | MR

[60] Prozorkevich A. V., Samorodov V. A., Smolyanskii S. A., TMF, 52:3 (1982), 463–472 | MR | Zbl

[61] Smolyanskii S. A., TMF, 52:2 (1982), 292–300 | MR

[62] Röpke G., Schulz H., Nucl. Phys., 477 (1988), 472–486 | DOI

[63] Tominaga T., Arimitsu T., Pradko J., Umezawa H., Physica A, 150:1 (1988), 97–117 | DOI