Critical properties and finite-size estimates for the depinning transition of directed random polymers

DOI10.1007/s10955-006-9123-xzbMath1122.82053arXivcond-mat/0604453OpenAlexW3102261531MaRDI QIDQ885031

Fabio Lucio Toninelli

Publication date: 7 June 2007

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0604453

zbMATH Keywords

directed polymersconcentration of measuredepinning transitioncopolymersfinite-size estimatespinning and wetting modelstypical and average correlation lengths

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (5)

Hierarchical pinning model in correlated random environment ⋮ Disordered pinning models and copolymers: Beyond annealed bounds ⋮ Pinning of a renewal on a quenched renewal ⋮ Pinning model in random correlated environment: appearance of an infinite disorder regime ⋮ On the irrelevant disorder regime of pinning models

Cites Work

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• Smoothing effect of quenched disorder on polymer depinning transitions
• Effect of disorder on two-dimensional wetting
• Localization transition for a polymer near an interface
• Free energy and some sample path properties of a random walk with random potential.
• A numerical approach to copolymers at selective interfaces
• Estimates on path delocalization for copolymers at selective interfaces
• On the localization transition of random copolymers near selective interfaces
• The statistical mechanics of random copolymers
• Geometric Convergence Rates for Stochastically Ordered Markov Chains

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