Entropic repulsion of the massless field with a class of self-potentials

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Abstract

We consider the d+1-dimensional effective interface model of gradient type with a quadratic interaction potential and a self-potential. Without the self-potential, the model coincides with the d-dimensional massless Gaussian field. We show that for an arbitrary repulsive self-potential which can be thought as interaction of the interface with a "soft wall", the field is pushed up at least to the same level when the original Gaussian field is conditioned to be positive everywhere, namely the "hard wall" condition is imposed.

Original languageEnglish
Pages (from-to)467-481
Number of pages15
JournalJournal of Statistical Physics
Volume135
Issue number3
DOIs
Publication statusPublished - 2009 May 1

Keywords

  • Entropic repulsion
  • Gaussian field
  • Random interface
  • Self-potential

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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