Universality for the pinning model in the weak coupling regime

DOI10.1214/16-AOP1109zbMath1376.82036arXiv1505.04927OpenAlexW2271389485MaRDI QIDQ2406560

Fabio Lucio Toninelli, Niccolò Torri, Francesco Caravenna

Publication date: 5 October 2017

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04927

zbMATH Keywords

free energyscaling limituniversalitycritical curvecoarse-grainingweak disorderrandom polymerdisorder relevancepinning model

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (12)

The two-dimensional continuum random field Ising model ⋮ Localization, big-jump regime and the effect of disorder for a class of generalized pinning models ⋮ Free energy of directed polymers in random environment in \(1+1\)-dimension at high temperature ⋮ PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT ⋮ Free energy of the Cauchy directed polymer model at high temperature ⋮ On the long-range directed polymer model ⋮ Influence of disorder on DNA denaturation: the disordered generalized Poland-Scheraga model ⋮ Phase transitions for spatially extended pinning ⋮ Disorder and critical phenomena: the \(\alpha =0\) copolymer model ⋮ The random pinning model with correlated disorder given by a renewal set ⋮ Edwards-Wilkinson fluctuations for the directed polymer in the full \(L^2\)-regime for dimensions \(d\ge 3\) ⋮ The two-dimensional KPZ equation in the entire subcritical regime

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