Interfaces in the Potts model II: Antonov's rule and rigidity of the order disorder interface

Alain Messager, Salvador Miracle-Sole, Jean Ruiz, Senya Shlosman

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

Within the ferromagnetic q-state Potts model we discuss the wetting of the interface between two ordered phases a and b by the disordered phase f at the transition temperature. In two or more dimensions and for q large we establish the validity of the Antonov's rule, σab = σaf + σfb, where σ denotes the surface tension between the considered phases. We also prove that at this temperature, in three or more dimensions the interface between any ordered phase and the disordered one is rigid.

Original languageEnglish
Pages (from-to)275-290
Number of pages16
JournalCommunications in Mathematical Physics
Volume140
Issue number2
DOIs
Publication statusPublished - Sep 1991
Externally publishedYes

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