Geodesic
The concept of quasiaverages and spaces of states
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 432-446 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The fundamental content of Bogolyubov's concept of quasiaverages is considered. The problem of the nonuniqueness in the choice of the state space of a macroscopic system is investigated in the example of the Ising model. The basic methods of quasiaveraging are discussed. The microscopic description of heterophase states using the concept of quasiaverages is considered. 
@article{TMF_1984_60_3_a9,
     author = {N. N. Bogolyubov (Jr.) and A. S. Shumovskii and V. I. Yukalov},
     title = {The concept of quasiaverages and spaces of states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {432--446},
     year = {1984},
     volume = {60},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a9/}
}
TY  - JOUR
AU  - N. N. Bogolyubov (Jr.)
AU  - A. S. Shumovskii
AU  - V. I. Yukalov
TI  - The concept of quasiaverages and spaces of states
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 432
EP  - 446
VL  - 60
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a9/
LA  - ru
ID  - TMF_1984_60_3_a9
ER  - 
%0 Journal Article
%A N. N. Bogolyubov (Jr.)
%A A. S. Shumovskii
%A V. I. Yukalov
%T The concept of quasiaverages and spaces of states
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 432-446
%V 60
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a9/
%G ru
%F TMF_1984_60_3_a9
N. N. Bogolyubov (Jr.); A. S. Shumovskii; V. I. Yukalov. The concept of quasiaverages and spaces of states. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 432-446. http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a9/

[1] Bogolubov N. N., Physica, S26 (1960), 1–16 | DOI

[2] Bogolyubov N. N., Vestn. MGU, 1947, no. 7, 43–51 | MR

[3] Bogolyubov N. N., Vestn. AN SSSR, 28:4 (1958), 25–29

[4] Bogolyubov N. N., Vestn. AN SSSR, 28:8 (1958), 36–46

[5] Bogolyubov N. N., ZhETF, 34:1 (1958), 58–65 | Zbl

[6] Bogolyubov N. N., Kvazisrednie v zadachakh statisticheskoi mekhaniki, Preprint OIYaI, R-1451, OIYaI, Dubna, 1963; Избр. тр., т. 2, Наукова думка, Киев, 1971, 174–243 | MR

[7] Haag R., Nuovo Cim., 25:2 (1962), 287–299 | DOI | MR | Zbl

[8] Emkh Zh., Algebraicheskie metody v statisticheskoi mekhanike i kvantovoi teorii polya, Mir, M., 1976 | MR

[9] Grib A. A., Problema neinvariantnosti vakuuma v kvantovoi teorii polya, Atomizdat, M., 1978

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

[11] Vainberg S., UFN, 132:2 (1980), 201–217 | MR

[12] Goldstone J., Nuovo Cim., 19:1 (1961), 154–162 | DOI | MR

[13] Higgs P. W., Phys. Rev. Lett., 13:4 (1964), 508–511 | DOI | MR

[14] Bogolyubov N. N. (ml.), Metod issledovaniya modelnykh gamiltonianov, Nauka, M., 1974 | MR

[15] Bogolyubov N. N. (ml.), Sadovnikov B. I., Nekotorye voprosy statisticheskoi mekhaniki, Vysshaya shkola, M., 1975 | MR

[16] Brankov J., Shumovsky A. S., Zagrebnov V. A., Physica A, 78:1 (1974), 183–186

[17] Bogolyubov N. N. (ml.), Plechko V. N., Shumovskii A. S., EChAYa, 14:6 (1983), 1443–1499 | MR

[18] Mermin N., Wagner H., Phys. Rev. Lett., 17:22 (1966), 1133–1136 | DOI | MR

[19] Sadovnicov B. I., Sorokina E. M., Indian J. Pure Appl. Phys., 8:1 (1970), 61–71 | MR

[20] Yukalov V. I., TMF, 26:3 (1976), 403–413 | MR

[21] Yukalov V. I., Physica A, 108:2 (1981), 402–416 | DOI | MR

[22] Shumovskii A. S., Yukalov V. I., XV Mezhdunarodnaya shkola po fizike vysokikh energii, OIYaI D2,4-83-139, OIYaI, Dubna, 1983, 223–313

[23] Solovev V. G., Teoriya slozhnykh yader, Nauka, M., 1971

[24] Bogolubov N. N., Jr., J. Math. Phys., 14:1 (1973), 26–38 | DOI | MR

[25] Bogolyubov N. N. (ml.), Shumovskii A. S., Tr. MIAN, 136, Nauka, M., 1975, 351–361

[26] Yukalov V. I., TMF, 28:1 (1976), 92–103

[27] Bogolyubov N. N. (ml.), TMF, 13:1 (1972), 131–139

[28] Bogolyubov N. N., ZhETF, 34:1 (1958), 73–79

[29] Bogolubov N. N., Jr., Shumovsky A. S., Indian J. Pure Appl. Phys., 8:1 (1970), 121–126

[30] Thirring W., Commun. Math. Phys., 7:1 (1968), 181–193 | DOI | MR

[31] Yukalov V. I., Mezhdunarodnyi simpozium po izbrannym problemam statisticheskoi mekhaniki, OIYaI D17-11490, OIYaI, Dubna, 1977, 437–444

[32] Linton E., Sverkhprovodimost, Mir, M., 1971

[33] Bruinsma B., Aeppli J., Phys. Rev., B29:5 (1984), 2644–2651 | DOI | MR

[34] Miwa H., J. Magn. Mat., 34:3 (1983), 1455–1456 | DOI

[35] Brookeman J., Rigamonti A., Phys. Rev., B24:9 (1981), 4925–4930 | DOI

[36] Maisano G. et al., Phys. Rev. Lett., 52:12 (1984), 1025–1028 | DOI

[37] Baldin A. M., EChAYa, 8:2 (1977), 429–471

[38] Bogolubov N. N., Nuovo Cim., S4 (1966), 347–352

[39] Bogolyubov N. N., II Mezhdunarodnyi simpozium po izbrannym problemam statisticheskoi mekhaniki, OIYaI D17-81-758, OIYaI, Dubna, 1982, 3–17

[40] Shumovskii A. S., Yukalov V. I., DAN SSSR, 252:3 (1980), 581–583

[41] Shumovskii A. S., Yukalov V. I., II Mezhdunarodnyi simpozium po izbrannym problemam statisticheskoi mekhaniki, OIYaI D17-81-758, OIYaI, Dubna, 1982, 238–260

[42] Shumovsky A. S., Yukalov V. I., Physica A, 110:2 (1982), 518–534 | DOI | MR

[43] Bogolyubov N. N., Izbrannye trudy. T. 2. Lektsii po kvantovoi statistike, Naukova dumka, Kiev, 1971 | MR

[44] Tyablikov S. V., Metody kvantovoi teorii magnetizma, Nauka, M., 1974 | MR

[45] Liu S. H., Phys. Rev., B13:6 (1976), 3962–3971 | DOI | MR

[46] Shumovsky A. S., Yukalov V. I., Chem. Phys. Lett., 83:3 (1981), 582–584 | DOI

[47] Borukhovich A. S., Marunya M. S. i dr., FTT, 1974, no. 7, 2084–2086

[48] Shumovskii A. S., Yukalov V. I., DAN SSSR, 266:2 (1982), 320–323