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Commensurate-incommensurate phase transitions in one-dimensional chains

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Abstract

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 ofW α, γ. The dependence of these measures on parametersα, γ is investigated.

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Authors and Affiliations

  1. L. D. Landau Institute of Theoretical Physics, Academy of Sciences, V-334, Moscow, USSR

    Ya. G. Sinai

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  1. Ya. G. Sinai
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Sinai, Y.G. Commensurate-incommensurate phase transitions in one-dimensional chains. J Stat Phys 29, 401–425 (1982). https://doi.org/10.1007/BF01342181

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  • DOI: https://doi.org/10.1007/BF01342181

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