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ON THE CRITICAL BEHAVIOR OF CONTINUOUS HOMOPOLYMERS

LEONID KORALOV

Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

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and

ZSOLT PAJOR-GYULAI

Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

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https://doi.org/10.1142/S0219493713500147Cited by:1 (Source: Crossref)

Abstract

The aim of this paper is to investigate the distribution of a continuous homopolymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously vary two parameters: the temperature, which approaches the critical value, and the length of the polymer, which tends to infinity. As the main result, we identify the distributions that appear in the limit (after a diffusive scaling of the original polymer measures) and depend on the relation between the two parameters.

Keywords:

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