Journal of Statistical Physics

, Volume 29, Issue 3, pp 401–425 | Cite as

Commensurate-incommensurate phase transitions in one-dimensional chains

  • Ya. G. Sinai


We consider one-dimensional systems of classical particles whose potential energy has the form:
$$W_{\alpha ,\gamma } = \sum {[\alpha V(x_n )} + F(x_n - x_{n - 1} C\gamma )]$$
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 ofWα, γ. The dependence of these measures on parametersα, γ is investigated.

Key words

Gibbs state homoclinic point invariant pressure 


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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Ya. G. Sinai
    • 1
  1. 1.L. D. Landau Institute of Theoretical PhysicsAcademy of SciencesMoscowUSSR

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