Description of the phase with broken symmetry in the Ising model by the method of quasi-averages
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 473-490
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A system of equations for the correlation functions of the Ising model is obtained. It is shown that this system of equations is solvable at a sufficiently low temperature and a rapidly converging iterative procedure is constructed which makes it possible to calculate with arbitrarily high accuracy the equation of state and the correlation functions of the Ising model. The first terms of the perturbation theory series are given.
@article{TMF_1982_52_3_a13,
author = {Yu. P. Virchenko},
title = {Description of the phase with broken symmetry in the {Ising} model by the method of quasi-averages},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {473--490},
publisher = {mathdoc},
volume = {52},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a13/}
}
TY - JOUR AU - Yu. P. Virchenko TI - Description of the phase with broken symmetry in the Ising model by the method of quasi-averages JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 473 EP - 490 VL - 52 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a13/ LA - ru ID - TMF_1982_52_3_a13 ER -
%0 Journal Article %A Yu. P. Virchenko %T Description of the phase with broken symmetry in the Ising model by the method of quasi-averages %J Teoretičeskaâ i matematičeskaâ fizika %D 1982 %P 473-490 %V 52 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a13/ %G ru %F TMF_1982_52_3_a13
Yu. P. Virchenko. Description of the phase with broken symmetry in the Ising model by the method of quasi-averages. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 3, pp. 473-490. http://geodesic.mathdoc.fr/item/TMF_1982_52_3_a13/