Sharp asymptotic behavior for wetting models in (1+1)-dimension
Probability
2007-05-23 v1
Abstract
We consider continuous and discrete (1+1)-dimensional wetting models which undergo a localization/delocalization phase transition. Using a simple approach based on Renewal Theory we determine the precise asymptotic behavior of the partition function, from which we obtain the scaling limits of the models and an explicit construction of the infinite volume measure (thermodynamic limit) in all regimes, including the critical one.
Cite
@article{arxiv.math/0511376,
title = {Sharp asymptotic behavior for wetting models in (1+1)-dimension},
author = {Francesco Caravenna and Giambattista Giacomin and Lorenzo Zambotti},
journal= {arXiv preprint arXiv:math/0511376},
year = {2007}
}
Comments
14 pages, 1 figure