Entropic Repulsion for the High Dimensional Gaussian Lattice Field Between Two Walls |
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Authors: | Hironobu Sakagawa |
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Affiliation: | (1) Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku Yokohama, 223-8522, Japan |
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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 ∩ ℤ d 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. |
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Keywords: | entropic repulsion Gaussian field hard wall random interface Gibbs measure |
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