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On the Near-Critical Behavior of Continuous Polymers

Mathematical Physics 2020-12-04 v1 math.MP

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.

Keywords

Cite

@article{arxiv.2012.01607,
  title  = {On the Near-Critical Behavior of Continuous Polymers},
  author = {L. Koralov and S. Molchanov and B. Vainberg},
  journal= {arXiv preprint arXiv:2012.01607},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2008.04493