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 Electronic Journal of Probability > Vol. 11 (2006) > Paper 14 open journal systems 


Sharp asymptotic behavior for wetting models in (1+1)-dimension

Francesco Caravenna, Universitaet Zuerich, Switzerland
Giambattista Giacomin, Universite' Paris 7, France
Lorenzo Zambotti, Politecnico di Milano, Italy


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 in all regimes, including the critical one.


Full text: PDF

Pages: 345--362

Published on: May 8, 2006
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Electronic Journal of Probability. ISSN: 1083-6489