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

Research output: Contribution to journalArticle

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

Fingerprint

Free Energy
Membrane
free energy
membranes
Model
infinity
Infinity

Keywords

  • Confinement
  • Gaussian field
  • Membrane
  • Pinning

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the Free Energy of a Gaussian Membrane Model with External Potentials. / Sakagawa, Hironobu.

In: Journal of Statistical Physics, Vol. 147, No. 1, 04.2012, p. 18-34.

Research output: Contribution to journalArticle

@article{4f38e1a25b6b4ea49219d7840b0255a6,
title = "On the Free Energy of a Gaussian Membrane Model with External Potentials",
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.",
keywords = "Confinement, Gaussian field, Membrane, Pinning",
author = "Hironobu Sakagawa",
year = "2012",
month = "4",
doi = "10.1007/s10955-012-0475-0",
language = "English",
volume = "147",
pages = "18--34",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - On the Free Energy of a Gaussian Membrane Model with External Potentials

AU - Sakagawa, Hironobu

PY - 2012/4

Y1 - 2012/4

N2 - 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.

AB - 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.

KW - Confinement

KW - Gaussian field

KW - Membrane

KW - Pinning

UR - http://www.scopus.com/inward/record.url?scp=84860384968&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860384968&partnerID=8YFLogxK

U2 - 10.1007/s10955-012-0475-0

DO - 10.1007/s10955-012-0475-0

M3 - Article

VL - 147

SP - 18

EP - 34

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1

ER -