Temperature phase transitions associated with local minima of energy

Brahim Boussaida and Lahoussine Laanait

Physica A: Statistical Mechanics and its Applications, 2005, vol. 358, issue 1, 93-101

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.

Keywords: First-order phase transition; Local minima; Contour models (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:358:y:2005:i:1:p:93-101

DOI: 10.1016/j.physa.2005.06.009

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