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 TMF, 1984, Volume 58, Number 1, Pages 121–136 (Mi tmf4435)

Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model

A. G. Basuev

Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1984, 58:1, 80–91

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Citation: A. G. Basuev, “Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model”, TMF, 58:1 (1984), 121–136; Theoret. and Math. Phys., 58:1 (1984), 80–91

Citation in format AMSBIB
\Bibitem{Bas84} \by A.~G.~Basuev \paper Mayer expansions for gas of contours at low temperatures and in arbitrary external fields for the multicomponent ising model \jour TMF \yr 1984 \vol 58 \issue 1 \pages 121--136 \mathnet{http://mi.mathnet.ru/tmf4435} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=740218} \transl \jour Theoret. and Math. Phys. \yr 1984 \vol 58 \issue 1 \pages 80--91 \crossref{https://doi.org/10.1007/BF01031038} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984TA24500010} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. G. Basuev, “Complete phase diagrams with respect to external fields at low temperatures for models with nearest-neighbor interaction in the case of a finite or countable number of ground states”, Theoret. and Math. Phys., 58:2 (1984), 171–182
2. A. G. Basuev, “Hamiltonian of the phase separation border and phase transitions of the first kind. I”, Theoret. and Math. Phys., 64:1 (1985), 716–734
3. S. N. Isakov, “Phase diagrams and singularity at the point of a phase transition of the first kind in lattice gas models”, Theoret. and Math. Phys., 71:3 (1987), 638–648
4. A. G. Basuev, “Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee–Yang theorem”, Theoret. and Math. Phys., 153:1 (2007), 1434–1457
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