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.
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Sakagawa, H. Entropic Repulsion for the High Dimensional Gaussian Lattice Field Between Two Walls. J Stat Phys 124, 1255–1274 (2006). https://doi.org/10.1007/s10955-006-9049-3
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DOI: https://doi.org/10.1007/s10955-006-9049-3