@article{TMF_1986_67_2_a8,
author = {R. Gelerak},
title = {Equilibrium equations for the class of continuous systems with positive-definite two-body interaction},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {289--303},
year = {1986},
volume = {67},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a8/}
}
TY - JOUR AU - R. Gelerak TI - Equilibrium equations for the class of continuous systems with positive-definite two-body interaction JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 289 EP - 303 VL - 67 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a8/ LA - ru ID - TMF_1986_67_2_a8 ER -
R. Gelerak. Equilibrium equations for the class of continuous systems with positive-definite two-body interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 2, pp. 289-303. http://geodesic.mathdoc.fr/item/TMF_1986_67_2_a8/
[1] Mayer J. E., J. Chem. Phys., 10 (1942), 629 | DOI | MR
[2] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971
[3] Klein W., J. Math. Phys., 16 (1975), 1482–1487 | DOI | MR | Zbl
[4] Pastur L. A., TMF, 18:2 (1974), 233–242 | MR
[5] Zagrebnov V. A., Pastur L. A., TMF, 36:3 (1978), 352–372 | MR
[6] Zagrebnov V. A., J. Stat. Phys., 27(3) (1982), 577–591 | DOI | MR | Zbl
[7] Morall H., Physica, 81A (1975), 469–474 ; 87A (1977), 331–343 | DOI | DOI
[8] Georgii H. O., Canonical Bibbs Measures, Lecture Notes in Mathematics, 760, Springer-Verlag, 1979 | DOI | MR | Zbl
[9] Preston J., Gibbs Fields, Lecture Notes in Mathematics, 53A, Springer-Verlag, 1976 | DOI | MR
[10] Sinai Ya. G., Teoriya fazovykh perekhodov. Strogie rezultaty, Nauka, M., 1980 | MR
[11] Ruelle D., Ann. of Phys., 25 (1963), 109–120 | DOI | MR
[12] Ruelle D., Commun. Math. Phys., 68 (1970), 127–159 | DOI | MR
[13] Dobrushin R. L., Funkts. analiz i ego prilozh., 2 (1968), 44–57 ; ТМФ, 4:1 (1970), 101–118 | MR | Zbl | MR | Zbl
[14] Dobrushin R. L., Pecherski E. A., Lect. Notes in Math., 1021, Springer-Verlag, New York, 1983, 97 | DOI | MR
[15] Klein O., Commun. Math. Phys., 86 (1982), 227–246 | DOI | MR | Zbl
[16] Bogolyubov N. N., Khatset B. V., DAN SSSR, 66 (1949), 321–324 ; Боголюбов Н. Н., Избр. тр. в трех томах, т. 2, Наукова думка, Киев, 1970, 494–498. ; Боголюбов Н. Н., Петрина Д. Я., Хацет Б. В., ТМФ, 1:2 (1969), 251–274 | MR | Zbl | MR | Zbl | MR
[17] Siegert A. J. F., Physica, 26 (1960), 30 | DOI | MR | Zbl
[18] Fröhlich J., Commun. Math. Phys., 47 (1976), D33 | DOI | MR
[19] Fröhlich J., Park Y. M., Commun. Math. Phys., 57 (1978), 235 | DOI
[20] Brydges D., Commun. Math. Phys., 58 (1978), 313 ; Brydges D., Federbush P., Commun. Math. Phys., 73 (1980), 197 ; Park Y. M., Commun. Math. Phys., 70 (1979), 161 ; Imbrie J., Commun. Math. Phys., 87 (1983), 515 | DOI | MR | DOI | MR | DOI | MR | DOI | MR
[21] Fröhlich J., Spencer T., J. Stat. Phys., 24 (1981), 527 | DOI | MR
[22] Fontaine J. R., Martin Ph. A., J. Stat. Phys., 36 (1984), 163–179 | DOI | MR
[23] Aizenmann M., Martin Ph. A., Commun. Math. Phys., 78 (1980), 99 ; Aizenmann M., Fröhlich J., J. Stat. Phys., 36 (1984), 163–179 | DOI | MR | DOI
[24] Albeverio S., Hoegh-Krohn R., Commun. Math. Phys., 68 (1979), 95–128 ; Gielerak R., J. Math. Phys. (to appear) | DOI | MR | Zbl | MR
[25] Gielerak R., Zegarlinski B., Fortschr. Physik, 1984, 1–24 | DOI | MR
[26] Lebowitz J. L., Martin-Lof A., Commun. Math. Phys., 25 (1976), 276–282 ; Lebowitz J. L., Ruttgers University Preprint, Ruttgers, 1975 ; Bricmont J., Fontaine J. R., Landau L. J., Commun. Math. Phys., 56 (1977), 281–296 ; Messager A., Miracle S., Pfister Ch.-E., Commun. Math. Phys., 58 (1978), 19–29 | DOI | MR | MR | DOI | MR | DOI | MR
[27] Pfister Ch.-E., Commun. Math. Phys., 86 (1982), 375–390 ; Fröhlich J., Pfister Ch.-E., Commun. Math. Phys., 89 (1983), 303–327 | DOI | MR | DOI | MR
[28] Ngyen X. X., Zessin H., Math. Nachr., 88 (1979), 105 | DOI | MR
[29] Kerstan I., Tattes K., Mekke I., Bezgranichno delimye tochechnye protsessy, Nauka, M., 1982 | MR | Zbl
[30] Gelerak R., Preprint R-17-85-770, OIYaI, Dubna, 1985 | MR
[31] Gielerak R., Fortschr. Physik, 29(1) (1981), 19–34 | DOI | MR
[32] Ginibre J., Commun. Math. Phys., 16 (1970), 310–328 | DOI | MR
[33] Fröhlich J., Pfister Ch.-E., Commun. Math. Phys., 81 (1981), 277–298 ; Gruber Ch., Martin P. A., Phys. Rev. Lett., 45 (1980), 853 ; Ann. of Phys., 131 (1981), 56 | DOI | MR | DOI | MR | DOI | MR
[34] Gielerak R., Fortschr. der Physik (to appear) | MR
[35] Dimock J., Glimm J., Adv. Math., 12 (1974), 58–83 | DOI | MR | Zbl
[36] Lenard A., J. Math. Phys., 4 (1963), 553 ; 2 (1961), 682 | DOI | MR | DOI | MR | Zbl
[37] Zagrebnov V. A., TMF, 51:3 (1982), 389–402 | MR