Diffusion-controlled First Contact of the Ends of a Polymer: Crossover between Two Scaling Regimes
Resource
Physical Review E 72: 031804
Journal
Physical Review E
Journal Issue
031804
Pages
-
Date Issued
2005
Date
2005
Author(s)
Abstract
We report on Monte Carlo simulations of loop formation of an ideal flexible polymer consisting of N bonds with two reactive ends. We determine the first-passage time associated with chain looping that yields a conformation in which the end monomers are separated by a distance a--the reaction radius. In particular, our numerical results demonstrate how this time scale crosses over from tau(first) approximately N(3/2)/a to the a-independent tau(first) approximately N2 as N is increased. The existence and characteristics, of the two scaling regimes and the crossover between the two, are further illuminated by a scaling argument.
Type
journal article
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