Entropic repulsion for two dimensional multi-layered harmonic crystals

Hironobu Sakagawa

doi:10.1023/b:joss.0000003103.86191.24

Entropic repulsion for two dimensional multi-layered harmonic crystals

Hironobu Sakagawa

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	37-49
Number of pages	13
Journal	Journal of Statistical Physics
Volume	114
Issue number	1-2
DOIs	https://doi.org/10.1023/b:joss.0000003103.86191.24
Publication status	Published - 2004 Jan

Keywords

Entropic repulsion
Gaussian field
Gibbs measure
Multi-interface phenomena

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/b:joss.0000003103.86191.24

Cite this

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Entropic repulsion for two dimensional multi-layered harmonic crystals

Abstract

Keywords

ASJC Scopus subject areas

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