Abstract:
In this paper we consider classical lattice models more general than those previously considered. We find conditions for them under which there exist r different limiting ergodic Gibbs distributions.
Bibliography: 16 titles.
\Bibitem{Pir75}
\by S.~A.~Pirogov
\paper The existence of lattice models with several types of pariticles
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 6
\pages 1333--1357
\mathnet{http://mi.mathnet.ru/eng/im2098}
\crossref{https://doi.org/10.1070/IM1975v009n06ABEH001524}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=403523}
Linking options:
https://www.mathnet.ru/eng/im2098
https://doi.org/10.1070/IM1975v009n06ABEH001524
https://www.mathnet.ru/eng/im/v39/i6/p1404
This publication is cited in the following 9 articles:
Gibbs Measures and Phase Transitions, 2011, 495
Eugene Pechersky, Elena Petrova, Sergey Pirogov, “Phase transitions of laminated models at any temperature”, Mosc. Math. J., 10:4 (2010), 789–806
Gibbs Measures and Phase Transitions, 1988
Boguslaw Zegarliński, “Extremality and the global Markov property II: The global Markov property for non-FKG maximal Gibbs measures”, J Statist Phys, 43:3-4 (1986), 687
S. A. Pirogov, “Coexistence of phases in a multicomponent lattice liquid with complex thermodynamic parameters”, Theoret. and Math. Phys., 66:2 (1986), 218–221
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
D. Ruelle, “On manifolds of phase coexistence”, Theoret. and Math. Phys., 30:1 (1977), 24–29
S. A. Pirogov, Ya. G. Sinai, “Phase diagrams of classical lattice systems continuation”, Theoret. and Math. Phys., 26:1 (1976), 39–49
V. M. Gercik, “Conditions for the nonuniqueness of the Gibbs state for lattice models having
finite interaction potentials”, Math. USSR-Izv., 10:2 (1976), 429–443
Citation in format AMSBIB
Contact us: