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Title

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

Authors
Ioffe, Dmitry
Published in Markov Processes and Related Fields. 2018, vol. 24, p. 487-537
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
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arXiv: 1611.00658
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IOFFE, Dmitry, VELENIK, Yvan Alain. Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions. In: Markov Processes and Related Fields, 2018, vol. 24, p. 487-537. https://archive-ouverte.unige.ch/unige:88716

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Deposited on : 2016-11-07

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