Commensurate-incommensurate phase transitions in one-dimensional chains

Ya G. Sinai

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


We consider one-dimensional systems of classical particles whose potential energy has the form: {Mathematical expression} The limit of the Gibbs state as T→0 is described in terms of invariant measures of two-dimensional mappings which are constructed with the help of Wα, γ. The dependence of these measures on parameters α, γ is investigated.

Original languageEnglish (US)
Pages (from-to)401-425
Number of pages25
JournalJournal of Statistical Physics
Issue number3
StatePublished - Nov 1982

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Gibbs state
  • homoclinic point
  • invariant pressure


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