Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 366-373
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A. N. Vasil'ev; R. A. Radzhabov. Analysis of the nonstar graphs of the Legendre transform in the ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 366-373. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a8/
@article{TMF_1975_23_3_a8,
author = {A. N. Vasil'ev and R. A. Radzhabov},
title = {Analysis of the nonstar graphs of the {Legendre} transform in the ising model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {366--373},
year = {1975},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a8/}
}
TY - JOUR
AU - A. N. Vasil'ev
AU - R. A. Radzhabov
TI - Analysis of the nonstar graphs of the Legendre transform in the ising model
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1975
SP - 366
EP - 373
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a8/
LA - ru
ID - TMF_1975_23_3_a8
ER -
%0 Journal Article
%A A. N. Vasil'ev
%A R. A. Radzhabov
%T Analysis of the nonstar graphs of the Legendre transform in the ising model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 366-373
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a8/
%G ru
%F TMF_1975_23_3_a8
Investigation (started in [1]) of the first Legendre transformation for the logarithm of the statistical sum in the Ising model is continued. The diagram expansion of the Legendre transformation $\Phi$ is the analogue of the virial expansion in the nonideal gas theory, however in contrast to the gas theory, in the case of the Ising model the functional $\Phi$ contains nonstar graphs as well. Complete characterisation of these graphs is given. The practical method of constructing the nonstar graphs (the compensation method) is suggested.
