English

Localization and delocalization of random interfaces

Probability 2007-05-23 v3 Statistical Mechanics Mathematical Physics math.MP

Abstract

The probabilistic study of effective interface models has been quite active in recent years, with a particular emphasis on the effect of various external potentials (wall, pinning potential, ...) leading to localization/delocalization transitions. I review some of the results that have been obtained. In particular, I discuss pinning by a local potential, entropic repulsion and the (pre)wetting transition, both for models with continuous and discrete heights.

Keywords

Cite

@article{arxiv.math/0509695,
  title  = {Localization and delocalization of random interfaces},
  author = {Yvan Velenik},
  journal= {arXiv preprint arXiv:math/0509695},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/154957806000000050 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)