Francesco Caravenna, Giambattista Giacomin, Lorenzo Zambotti
Published 2005-11-15Version 1
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.
Comments: 14 pages, 1 figure
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Localization for (1+1)-dimensional pinning models with $(\nabla + Δ)$-interaction
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