Geodesic
Sufficient conditions for ordering of an Ising ferromagnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 322-331 
V. I. Kolomytsev; A. V. Rokhlenko. Sufficient conditions for ordering of an Ising ferromagnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 3, pp. 322-331. http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a3/
@article{TMF_1978_35_3_a3,
     author = {V. I. Kolomytsev and A. V. Rokhlenko},
     title = {Sufficient conditions for ordering of {an~Ising} ferromagnet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {322--331},
     year = {1978},
     volume = {35},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a3/}
}
TY  - JOUR
AU  - V. I. Kolomytsev
AU  - A. V. Rokhlenko
TI  - Sufficient conditions for ordering of an Ising ferromagnet
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 322
EP  - 331
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a3/
LA  - ru
ID  - TMF_1978_35_3_a3
ER  - 
%0 Journal Article
%A V. I. Kolomytsev
%A A. V. Rokhlenko
%T Sufficient conditions for ordering of an Ising ferromagnet
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 322-331
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_35_3_a3/
%G ru
%F TMF_1978_35_3_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

A new technique is developed for constructing sufficient conditions for ordering in the onedimensional Ising model. A phase transition is guaranteed by an inequality which is weaker than Dyson's condition. The method is extended to systems of more dimensions. A simple method is proposed for proving Griffiths's inequalities.

[1] F. Dyson, Commun. Math. Phys., 12 (1968), 91 | DOI | MR

[2] M. Kac, C. J. Thompson, Critical behaviour of several lattice models with longrange interaction, Preprint, Rockfeller University, 1968 | MR

[3] K. Huang, Statistical Mechanics, N.-Y.–Ld, 1963 ; Р. Л. Добрушин, Теор. вероятн. и ее примен., 10 (1965), 209 | MR | MR | Zbl

[4] R. Griffiths, J. Math. Phys., 8, 478 ; (1967), 484 ; Commun. Math. Phys., 6 (1967), 121 ; D. Kelly, S. Sherman, J. Math. Phys., 9 (1968), 466 ; J. Ginibre, Commun. Math. Phys., 16 (1970), 310 ; А. Ульман, ТМФ, 26 (1976), 141 | DOI | MR | DOI | DOI | DOI | DOI | MR | MR

[5] G. Gallavotti, S. Miracle-Sole, Commun. Math. Phys., 5 (1967), 317 | DOI | MR | Zbl

[6] Kh. Araki, Matematika. Periodicheskii sbornik perevodov inostrannykh statei, 15:1 (1971), 103 | MR | Zbl