The Radius of a Polymer at a Near-Critical Temperature

2020/08/11 by Leonid Koralov, L. Koralov, S. Molchanov +6 · 1 citation
Mathematics · Physics and Astronomy · #35K10 #82B26 #82B27 #82D60 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #math.SP #msc:35K10 #msc:82B26 #msc:82B27 #msc:82D60

paper · pdf · doi:10.48550/arxiv.2008.04493

arxiv created 2020/08/11 · openalex publication_date 2020/08/11 · arxiv updated 2020/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider a mean-field model of a polymer with a spherically-symmetric finitely supported potential. We describe how the typical size of the polymer depends on the two parameters: the temperature, which approaches the critical value, and the length of the polymer chain, which goes to infinity.

Cited by

• On the Near-Critical Behavior of Continuous Polymers

Related

• On the Near-Critical Behavior of Continuous Polymers
• Continuous Model for Homopolymers
• Critical behavior of random polymers
• Scaling Properties of a Moving Polymer
• Effective Radius of a Discrete Moving Polymer