Cyclization of a Polymer: First-Passage Problem for a Non-Markovian Process

Igor M. Sokolov

Type: Article

Publication Date: 2003-02-26

Citations: 88

DOI: https://doi.org/10.1103/physrevlett.90.080601

Abstract

We discuss a closure of a polymer chain released from a state with given end-to-end distance. Considering the situation as a first passage problem for a non-Markovian process, we express the survival probability through the three-time distribution of the end-to-end distance and evaluate it numerically by solving a Volterra equation. We also show how the Wilemski-Fixmann approximation emerges within this scheme and discuss its geometrical nature.

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Physical Review Letters - View
arXiv (Cornell University) - View - PDF
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