Geodesic
Bogolyubov's inequalities in systems of many interacting particles with broken symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 368-393 Cet article a éte moissonné depuis la source Math-Net.Ru

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On the basis of the concept of quasiaverages and Bogolyubov's inequalities for the commutator Green's functions, we discuss some problems in many-particle systems in which spontaneous symmetry breaking is manifested physically in quite different ways: the Ising model, the Heisenberg model with ferro-, antiferro-, and ferrimagnetic ordering, systems of superfluid and superconducting type, and a system with crystalline ordering. 
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B. I. Sadovnikov; V. K. Fedyanin. Bogolyubov's inequalities in systems of many interacting particles with broken symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 368-393. http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a9/

[1] N. N. Bogolyubov, Preprint D-781, OIYaI, 1961 | MR

[2] H. Wagner, Z. Physik, 195 (1966), 273 | DOI

[3] J. Goldstone, Nuovo Cim., 19 (1961), 154 ; А. А. Гриб, Е. В. Дамаскинский, В. М. Максимов, УФН, 102 (1970), 587 | DOI | MR | Zbl | DOI

[4] L. Van Hove, Physica, 16 (1950), 137 | DOI | MR | Zbl

[5] N. D. Mermin, H. Wagner, Phys. Rev. Lett., 17 (1966), 1133 | DOI | MR

[6] P. C. Hohenberg, Phys. Rev., 158 (1967), 383 | DOI

[7] F. Wegner, Phys. Lett., 24A (1967), 131 | DOI

[8] D. C. Hamilton, Phys. Rev., 157 (1967), 427 | DOI

[9] L. N. Bulaevskii, Pisma ZhETF, 7 (1968), 147

[10] M. B. Walker, Th. W. Ruijgrok, Phys. Rev., 171 (1968), 513 | DOI

[11] B. I. Sadovnikov, V. K. Fedyanin, Tr. IV Soveschaniya po statisticheskoi fizike, Lvov, 1972 | Zbl

[12] B. I. Sadovnikov, E. M. Sorokina, DAN SSSR, 188 (1969), 788 ; Ind. J. of Pure and Appl. Phys., 8 (1970), 64 | MR

[13] V. K. Fedyanin, FMM, 28 (1969), 217

[14] N. N. Bogolyubov (ml.), B. I. Sadovnikov, ZhETF, 43 (1962), 677 | Zbl

[15] B. I. Sadovnikov, K. Bukli, Vestn. MGU, 1 (1970), 35 | MR

[16] S. V. Tyablikov, V. K. Fedyanin, FMM, 23 (1967), 2

[17] V. K. Fedyanin, Metod korrelyatsionnykh funktsii v modeli Izinga, Izd-vo Tartusskogo gos. un-ta, 1971

[18] K. J. Griffiths, J. Math. Phys., 8 (1967), 478 | DOI

[19] V. K. Fedyanin, TMF, 7 (1971), 241

[20] N. S. Green, C. A. Hurst, Order-disorder phenomena, J. Wiley, 1964 | MR | Zbl

[21] H. Stern, Phys. Rev., 147, 1; (1966), 94 | DOI

[22] N. N. Bogolyubov, ZhETF, 34 (1968), 58; Nuovo Cim., 7 (1958), 794 | DOI | Zbl

[23] N. N. Bogolyubov, Lektsii po kvantovoi statistike, Kiev, 1949 | Zbl

[24] E. M. Sorokina, DAN SSSR, 190 (1970), 69

[25] N. D. Mermin, Phys. Rev., 171 (1968), 272 | DOI

[26] N. D. Mermin, J. Phys. Soc. of Japan, Suppl., 26 (1969)