A solvable model for homopolymers and self-similarity near the critical point

DOI10.1515/ROSE.2010.73zbMath1224.60247arXiv0906.2816OpenAlexW2033056149MaRDI QIDQ3077712

Michael Craig Cranston, Leonid Koralov, Stanislav Alekseevich Molchanov, Boris Vainberg

Publication date: 22 February 2011

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2816

zbMATH Keywords

phase transitionGibbs measurezero-range potentialhomopolymerdiffusive phaseglobular phase

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Processes in random environments (60K37) Second-order parabolic equations (35K10)

Related Items (9)

Distorted Brownian motions on space with varying dimension ⋮ The radius of a polymer at a near-critical temperature ⋮ Dirichlet forms and polymer models based on stable processes ⋮ Point potential for the generator of a stable process ⋮ On the Dirichlet form of three-dimensional Brownian motion conditioned to hit the origin ⋮ Explicit heat kernels of a model of distorted Brownian motion on spaces with varying dimension ⋮ Boris Rufimovich Vainberg ⋮ Global limit theorems on the convergence of multidimensional random walks to stable processes ⋮ Spectral analysis of non-local Schrödinger operators

Cites Work

• Pinning of polymers and interfaces by random potentials
• Continuous model for homopolymers
• On self-attracting \(d\)-dimensional random walks
• Scaling relations for 2D-percolation
• On the partition function of a directed polymer in a Gaussian random environment
• Strong disorder for a certain class of directed polymers in a random environment
• Brownian directed polymers in random environment

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