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:||20 May 2016 12:03|
|Publisher:||American Institute of Physics|
|Free access at:||Publisher DOI. An embargo period may apply.|
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