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Cyclization of a Polymer: A First Passage Problem for a Non-Markovian Process by Sokolov, I. M. is a scholarly article available to read on EtoBox.

What is Cyclization of a Polymer: A First Passage Problem for a Non-Markovian Process about?

We discuss a problem of cyclization of a polymer molecule, which is an important example of reaction in a system showing strongly non-Markovian behavior on the timescales of interest. We show that the knowledge of the joint three-time probability distribution of the end-to-end distance is sufficient for the full description of the cyclization kinetics, so that the survival probability follows rigorously as a solution of the Volterra integral equation. The corresponding kinetics can easily be evaluated numerically. We moreover discuss how do some well-known approximations appear from this exact scheme due to decoupling.

Author

Sokolov, I. M.

Published

2002

Language

EN