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

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)18-34
ページ数17
ジャーナルJournal of Statistical Physics
147
1
DOI
出版ステータスPublished - 2012 4月

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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