Entropic repulsion for two dimensional multi-layered harmonic crystals

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

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Entropic Repulsion
Crystal
Harmonic
harmonics
crystals
High-dimensional
Asymptotic Behavior

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Entropic repulsion for two dimensional multi-layered harmonic crystals. / Sakagawa, Hironobu.

In: Journal of Statistical Physics, Vol. 114, No. 1-2, 01.2004, p. 37-49.

Research output: Contribution to journalArticle

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