Abstract
The main aim of this paper is to discuss the entropic repulsion of random interfaces between two hard walls. We consider the d (≥ 3)-dimensional Gaussian lattice field on ℝλ N , λ N = [-N, N] d ∩ ℤd and identify the repulsion of the field as N → ∞ under the condition that the field lies between two hard walls at the height level 0 and L in Λ N where L is large enough but finite. We also study the same problem for two layered interfaces case.
| Original language | English |
|---|---|
| Pages (from-to) | 1255-1274 |
| Number of pages | 20 |
| Journal | Journal of Statistical Physics |
| Volume | 124 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2006 Sep |
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Keywords
- Entropic repulsion
- Gaussian field
- Gibbs measure
- Hard wall
- Random interface
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Entropic repulsion for the high dimensional Gaussian lattice field between two walls. / Sakagawa, Hironobu.
In: Journal of Statistical Physics, Vol. 124, No. 5, 09.2006, p. 1255-1274.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Entropic repulsion for the high dimensional Gaussian lattice field between two walls
AU - Sakagawa, Hironobu
PY - 2006/9
Y1 - 2006/9
N2 - The main aim of this paper is to discuss the entropic repulsion of random interfaces between two hard walls. We consider the d (≥ 3)-dimensional Gaussian lattice field on ℝλ N , λ N = [-N, N] d ∩ ℤd and identify the repulsion of the field as N → ∞ under the condition that the field lies between two hard walls at the height level 0 and L in Λ N where L is large enough but finite. We also study the same problem for two layered interfaces case.
AB - The main aim of this paper is to discuss the entropic repulsion of random interfaces between two hard walls. We consider the d (≥ 3)-dimensional Gaussian lattice field on ℝλ N , λ N = [-N, N] d ∩ ℤd and identify the repulsion of the field as N → ∞ under the condition that the field lies between two hard walls at the height level 0 and L in Λ N where L is large enough but finite. We also study the same problem for two layered interfaces case.
KW - Entropic repulsion
KW - Gaussian field
KW - Gibbs measure
KW - Hard wall
KW - Random interface
UR - http://www.scopus.com/inward/record.url?scp=33750054386&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33750054386&partnerID=8YFLogxK
U2 - 10.1007/s10955-006-9049-3
DO - 10.1007/s10955-006-9049-3
M3 - Article
AN - SCOPUS:33750054386
VL - 124
SP - 1255
EP - 1274
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 5
ER -