Surface terms on the nishimori line of the Gaussian Edwards-Anderson model

Pierluigi Contucci, Satoshi Morita, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

For the Edwards-Anderson model we find an integral representation for some surface terms on the Nishimori line. Among the results are expressions for the surface pressure for free and periodic boundary conditions and the adjacency pressure, i.e., the difference between the pressure of a box and the sum of the pressures of adjacent sub-boxes in which the box can been decomposed. We show that all those terms indeed behave proportionally to the surface size and prove the existence in the thermodynamic limit of the adjacency pressure.

Original languageEnglish
Pages (from-to)303-312
Number of pages10
JournalJournal of Statistical Physics
Volume122
Issue number2
DOIs
Publication statusPublished - 2006 Jan

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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