Entropic repulsion for the high dimensional Gaussian lattice field between two walls

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Abstract

The main aim of this paper is to discuss the entropic repulsion of random interfaces between two hard walls. We consider the d (≥ 3)-dimensional Gaussian lattice field on ℝλ N , λ N = [-N, N] d ∩ ℤd and identify the repulsion of the field as N → ∞ under the condition that the field lies between two hard walls at the height level 0 and L in Λ N where L is large enough but finite. We also study the same problem for two layered interfaces case.

Original languageEnglish
Pages (from-to)1255-1274
Number of pages20
JournalJournal of Statistical Physics
Volume124
Issue number5
DOIs
Publication statusPublished - 2006 Sep 1

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Keywords

  • Entropic repulsion
  • Gaussian field
  • Gibbs measure
  • Hard wall
  • Random interface

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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