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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22071

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.

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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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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
Deposited On:27 Apr 2010 13:15
Last Modified:05 Apr 2016 13:25
Publisher:American Institute of Physics
Additional Information:Copyright (2000) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in (J. Math. Phys. 41 (2000), no. 3, 1211--1223) and may be found at http://jmp.aip.org/jmapaq/v41/i3/p1211_s1
Publisher DOI:10.1063/1.533184
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1757956

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