On the Near-Critical Behavior of Continuous Polymers

2020/12/03 by Leonid Koralov, Koralov, L., Stanislav Molchanov +3
Mathematics · Physics and Astronomy · #35K10 #82B26 #82B27 #82D60 #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2012.01607

openalex publication_date 2020/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to investigate the distribution of a continuous polymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously and independently vary two parameters: the temperature, which approaches the critical value, and the length of the polymer chain, which tends to infinity. We describe how the typical size of the polymer depends on the two parameters.

Related

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• Continuous Model for Homopolymers
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