A variational formula for the free energy of the partially directed polymer collapse

DOI10.1007/s10955-013-0748-2zbMath1273.82079arXiv1211.0925OpenAlexW3104986302MaRDI QIDQ359570

Gia Bao Nguyen, Nicolas Pétrélis

Publication date: 12 August 2013

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

Full work available at URL: https://arxiv.org/abs/1211.0925

zbMATH Keywords

phase transitionpolymer collapsevariational formula

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (6)

Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall ⋮ Classical length-5 pattern-avoiding permutations ⋮ A shape theorem for the scaling limit of the IPDSAW at criticality ⋮ Interacting partially directed self-avoiding walk: a probabilistic perspective ⋮ Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes ⋮ A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk

Cites Work

• Unnamed Item
• Families of prudent self-avoiding walks
• Distribution of some functionals of the integral of a random walk
• The tricritical behavior of self-interacting partially directed walks
• Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction
• Persistence Probabilities and Exponents
• A self-interacting partially directed walk subject to a force
• A collapse transition in a directed walk model
• Lectures on random polymers

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