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Scientific article
English

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

Published inMarkov Processes and Related Fields, vol. 24, p. 487-537
Publication date2018
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 principle
  • Critical prewetting
  • Entropic repulsion
  • Ordered random walks
  • Non-crossing random walks
  • Non-intersecting random walks
  • Ferrari-Spohn diffusions
  • Ising model
  • Blume-Capel model
  • Wetting
  • Prewetting
  • Faceting
  • SOS model
Classification
  • arxiv : math.PR
Citation (ISO format)
IOFFE, Dmitry, VELENIK, Yvan. Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions. In: Markov Processes and Related Fields, 2018, vol. 24, p. 487–537.
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