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

Hironobu Sakagawa

doi:10.1007/s10955-012-0475-0

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

Hironobu Sakagawa

Department of Mathematics

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

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 language	English
Pages (from-to)	18-34
Number of pages	17
Journal	Journal of Statistical Physics
Volume	147
Issue number	1
DOIs	https://doi.org/10.1007/s10955-012-0475-0
Publication status	Published - 2012 Apr

Keywords

Confinement
Gaussian field
Membrane
Pinning

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-012-0475-0

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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",

note = "Funding Information: Acknowledgements The author would like to thank the referee for his very useful comments. This work was partially supported by the Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Young Scientists (B), No. 23740086.",

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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

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KW - Membrane

KW - Pinning

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

Abstract

Keywords

ASJC Scopus subject areas

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