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Harmonic crystal on the wall: a microscopic approach


Bolthausen, E; Ioffe, D (1997). Harmonic crystal on the wall: a microscopic approach. Communications in Mathematical Physics, 187(3):523-566.

Abstract

A three dimensional Winterbottom type construction in the regime of partial wetting is derived in a scaling limit of a gas of microscopic Gaussian SOS droplets under the fixed volume constraint. The proof is based on a coarse graining of the random microscopic region “wetted” by the crystal, random walk representations of various quantities related to free massless fields and a stability analysis of the torsional rigidity problem.

Abstract

A three dimensional Winterbottom type construction in the regime of partial wetting is derived in a scaling limit of a gas of microscopic Gaussian SOS droplets under the fixed volume constraint. The proof is based on a coarse graining of the random microscopic region “wetted” by the crystal, random walk representations of various quantities related to free massless fields and a stability analysis of the torsional rigidity problem.

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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:2D Gaussian SOS model; Winterbottom construction; surface tension; random walk representation; torsional rigidity
Language:English
Date:1997
Deposited On:20 May 2010 12:20
Last Modified:05 Apr 2016 13:26
Publisher:Springer
ISSN:0010-3616
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/s002200050148
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0893.60062

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