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Title

Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions

Authors
Ioffe, Dmitry
Submitted to Markov Processes and Related Fields. 2016
Description 42
Abstract In this paper, we survey and discuss various surface phenomena such as prewetting, layering and faceting for a family of two- and three-dimensional low-temperature models of statistical mechanics, notably Ising models and (2+1)-dimensional solid-on-solid (SOS) models, with a particular accent on scaling regimes which lead or, in most cases, are conjectured to lead to Ferrari-Spohn type diffusions.
Keywords Invariance principleCritical prewettingEntropic repulsionOrdered random walksNon-crossing random walksNon-intersecting random walksFerrari-Spohn diffusionsIsing modelBlume-Capel modelWettingPrewettingFacetingSOS model
Identifiers
arXiv: 1611.00658
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IOFFE, Dmitry, VELENIK, Yvan Alain. Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions. Submitted to: Markov Processes and Related Fields, 2016. https://archive-ouverte.unige.ch/unige:88716

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Deposited on : 2016-11-07

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