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math-ph2020
On the Near-Critical Behavior of Continuous Polymers
L. Koralov, S. Molchanov, B. Vainberg
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 o…
math-ph2020
The Radius of a Polymer at a Near-Critical Temperature
L. Koralov, S. Molchanov, B. Vainberg
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…