Random surfaces with two-sided constraints: An application of the theory of dominant ground states

A. E. Mazel, Iouri M. Soukhov

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29 Scopus citations

Abstract

We consider some models of classical statistical mechanics which admit an investigation by means of the theory of dominant ground states. Our models are related to the Gibbs ensemble for the multidimensional SOS model with symmetric constraints {divides}φx{divides} ≤m/2. The main result is that for β≥β0, where β0 does not depend on m, the structure of thermodynamic phases in the model is determined by dominant ground states: for an even m a Gibbs state is unique and for an odd m the number of space-periodic pure Gibbs states is two.

Original languageEnglish (US)
Pages (from-to)111-134
Number of pages24
JournalJournal of Statistical Physics
Volume64
Issue number1-2
DOIs
StatePublished - Jul 1 1991

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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