Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 1, pp. 121-136
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Convergence of contour expansions is proved for $\operatorname{Re}\beta\ge\beta_1$ and arbitrary external
fields. It is also shown that the cluster functions are holomorphic with respect to the
external fields in regions in which the fields have constant sign. The results are
based on the construction of uniform estimates for the considered expansions in the
neighborhood of the physical region of variation of the external fields.
@article{TMF_1984_58_1_a9,
author = {A. G. Basuev},
title = {Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {121--136},
publisher = {mathdoc},
volume = {58},
number = {1},
year = {1984},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a9/}
}
TY - JOUR AU - A. G. Basuev TI - Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1984 SP - 121 EP - 136 VL - 58 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a9/ LA - ru ID - TMF_1984_58_1_a9 ER -
%0 Journal Article %A A. G. Basuev %T Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model %J Teoretičeskaâ i matematičeskaâ fizika %D 1984 %P 121-136 %V 58 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a9/ %G ru %F TMF_1984_58_1_a9
A. G. Basuev. Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 1, pp. 121-136. http://geodesic.mathdoc.fr/item/TMF_1984_58_1_a9/