Pinning of polymers and interfaces by random potentials
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Publication:997945
DOI10.1214/105051606000000015zbMath1145.82010arXivmath/0501028OpenAlexW2004663119MaRDI QIDQ997945
Kenneth S. Alexander, Vladas Sidoravićius
Publication date: 8 August 2007
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501028
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 (25)
THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS ⋮ Copolymer at selective interfaces and pinning potentials: weak coupling limits ⋮ Smoothing effect of quenched disorder on polymer depinning transitions ⋮ Localization, big-jump regime and the effect of disorder for a class of generalized pinning models ⋮ Variational characterization of the critical curve for pinning of random polymers ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT ⋮ Large deviations for symmetric stable processes with Feynman-Kac functionals and its application to pinned polymers ⋮ A note on the discrete Gaussian free field with disordered pinning on \(\mathbb Z^d\), \(d\geq 2\) ⋮ Path properties of the disordered pinning model in the delocalized regime ⋮ The effect of disorder on polymer depinning transitions ⋮ A replica-coupling approach to disordered pinning models ⋮ Disordered pinning models and copolymers: Beyond annealed bounds ⋮ A renewal theory approach to periodic copolymers with adsorption ⋮ ON THE CRITICAL BEHAVIOR OF CONTINUOUS HOMOPOLYMERS ⋮ Equality of critical points for polymer depinning transitions with loop exponent one ⋮ The free energy in the Derrida-Retaux recursive model ⋮ Fractional moment bounds and disorder relevance for pinning models ⋮ Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction ⋮ A solvable model for homopolymers and self-similarity near the critical point ⋮ The depinning transition in presence of disorder: a toy model ⋮ The quenched critical point of a diluted disordered polymer model ⋮ The random pinning model with correlated disorder given by a renewal set ⋮ Quenched and annealed critical points in polymer pinning models ⋮ Estimates on path delocalization for copolymers at selective interfaces
Cites Work
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- Weighted sums of certain dependent random variables
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- Random copolymers and the Morita approximation: polymer adsorption and polymer localization
- On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
- Probability
- Large deviations
- Trees at an interface
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