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Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger


Bolthausen, E; Deuschel, J D; Zeitouni, O (2000). Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger. Journal of Mathematical Physics, 41(3):1211-1223.

Abstract

We consider a free lattice field (a harmonic crystal) with a hard wall condition and a weak pinning to the wall. We prove that in a weak sense the pinning always dominates the entropic repulsion of the hard wall condition when the dimension is a least three. This contrasts with the situation in dimension one, where there is a so-called wetting transition, as has been observed by Michael Fisher. The existence of a wetting transition in the delicate two-dimensional case was recently proved by Caputo and Velenik. © 2000 American Institute of Physics.

Abstract

We consider a free lattice field (a harmonic crystal) with a hard wall condition and a weak pinning to the wall. We prove that in a weak sense the pinning always dominates the entropic repulsion of the hard wall condition when the dimension is a least three. This contrasts with the situation in dimension one, where there is a so-called wetting transition, as has been observed by Michael Fisher. The existence of a wetting transition in the delicate two-dimensional case was recently proved by Caputo and Velenik. © 2000 American Institute of Physics.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:harmonic crystal, hard wall condition, weak pinning, wetting transition
Language:English
Date:2000
Deposited On:27 Apr 2010 13:15
Last Modified:19 Feb 2018 22:17
Publisher:American Institute of Physics
ISSN:0022-2488
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1063/1.533184
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1757956
http://www.zentralblatt-math.org/zmath/en/search/?q=an:0977.82019

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