Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 209-230
Citer cet article
R. L. Dobrushin. The existence of a phase transition in the two- and three-dimensional Ising models. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 209-230. http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a0/
@article{TVP_1965_10_2_a0,
author = {R. L. Dobrushin},
title = {The existence of a~phase transition in the two- and three-dimensional {Ising} models},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {209--230},
year = {1965},
volume = {10},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a0/}
}
TY - JOUR
AU - R. L. Dobrushin
TI - The existence of a phase transition in the two- and three-dimensional Ising models
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1965
SP - 209
EP - 230
VL - 10
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a0/
LA - ru
ID - TVP_1965_10_2_a0
ER -
%0 Journal Article
%A R. L. Dobrushin
%T The existence of a phase transition in the two- and three-dimensional Ising models
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1965
%P 209-230
%V 10
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a0/
%G ru
%F TVP_1965_10_2_a0
We prove that in the case of $\nu$-dimensional Ising models ($\nu>1$) the system exhibits a phase transiton if the equations (1.7) and (1.6) where $T$ is the temperature and $\nu$ is the specific volume hold true.
