On the Free Energy of a Gaussian Membrane Model with External Potentials

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3 Citations (Scopus)

Abstract

We consider a class of d-dimensional Gaussian lattice field which is known as a model of semi-flexible membrane. We study the free energy of the model with external potentials and show the following: (1) We consider the model with δ-pinning and prove that the field is always localized when d≥4. (2) Consider the model confined between two hard walls. We give asymptotics of the free energy as the height of the wall goes to infinity.

Original languageEnglish
Pages (from-to)18-34
Number of pages17
JournalJournal of Statistical Physics
Volume147
Issue number1
DOIs
Publication statusPublished - 2012 Apr 1

Keywords

  • Confinement
  • Gaussian field
  • Membrane
  • Pinning

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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