Thermodynamics of~the two-dimensional and three-dimensional Ising models in~the static fluctuation approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 94-106
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In the framework of an unified approximation called by the authors the static fluctuation approximation (SFA) coupled equations are derived for the magnetization and pair correlation functions. They can be applied for the Ising model of an arbitrary dimension with spins ($S=1/2$) located in the knots of an arbitrary lattice. The comparison with the available exact results shows the efficience, high precision and simplicity of the SFA. This makes it possible to describe the experiments on substances to which the Ising model can be applied.
@article{TMF_1989_80_1_a8,
author = {R. R. Nigmatullin and V. A. Toboev},
title = {Thermodynamics of~the two-dimensional and three-dimensional {Ising} models in~the static fluctuation approximation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {94--106},
publisher = {mathdoc},
volume = {80},
number = {1},
year = {1989},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a8/}
}
TY - JOUR AU - R. R. Nigmatullin AU - V. A. Toboev TI - Thermodynamics of~the two-dimensional and three-dimensional Ising models in~the static fluctuation approximation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1989 SP - 94 EP - 106 VL - 80 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a8/ LA - ru ID - TMF_1989_80_1_a8 ER -
%0 Journal Article %A R. R. Nigmatullin %A V. A. Toboev %T Thermodynamics of~the two-dimensional and three-dimensional Ising models in~the static fluctuation approximation %J Teoretičeskaâ i matematičeskaâ fizika %D 1989 %P 94-106 %V 80 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a8/ %G ru %F TMF_1989_80_1_a8
R. R. Nigmatullin; V. A. Toboev. Thermodynamics of~the two-dimensional and three-dimensional Ising models in~the static fluctuation approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 80 (1989) no. 1, pp. 94-106. http://geodesic.mathdoc.fr/item/TMF_1989_80_1_a8/