Entropic repulsion for two dimensional multi-layered harmonic crystals

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Abstract

We consider two dimensional lattice free fields (harmonic crystals) and study the asymptotic behavior of the fields under the constraint that each field lies above a hard-wall and is forced to be piled on top of another. This problem is the so-called entropic repulsion and our result extends that of ref. 2 which studied the higher dimensional case.

Original languageEnglish
Pages (from-to)37-49
Number of pages13
JournalJournal of Statistical Physics
Volume114
Issue number1-2
Publication statusPublished - 2004 Jan 1

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Keywords

  • Entropic repulsion
  • Gaussian field
  • Gibbs measure
  • Multi-interface phenomena

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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