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Temperature phase transitions associated with local minima of energy

Author

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  • Boussaida, Brahim
  • Laanait, Lahoussine

Abstract

We develop an alternative version of the theory of contour models adapted to continuous spins located in sites of a (d⩾2)-dimensional lattice. The spins interacting via nearest-neighbor ferromagnetic interactions are embedded in a single spin potential V similar to that already introduced by Dobrushin and Shlosman. The potential V has a finite-ordered sequence of local minima and satisfy certain conditions. For all finite-reciprocal temperatures less than one, we prove the Peierls condition and we show that there exists a sequence of first-order phase transition temperature points.

Suggested Citation

  • Boussaida, Brahim & Laanait, Lahoussine, 2005. "Temperature phase transitions associated with local minima of energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(1), pages 93-101.
    • Handle: RePEc:eee:phsmap:v:358:y:2005:i:1:p:93-101
    DOI: 10.1016/j.physa.2005.06.009
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