Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions
Probability
2018-08-16 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1611.00658,
title = {Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions},
author = {Dmitry Ioffe and Yvan Velenik},
journal= {arXiv preprint arXiv:1611.00658},
year = {2018}
}
Comments
Added one reference. Final version, to appear in Markov Processes and Related Fields