Dua, Arti and Cherayil, Binny J (2002) The dynamics of chain closure in semiflexible polymers. In: Journal of Chemical Physics, 116 (1). pp. 399409.

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Abstract
The mean first passage time of cyclization \tau of a semiflexible polymer with reactive ends is calculated using the diffusionreaction formalism of Wilemski and Fixman [J. Chem. Phys. 60, 866 (1974)]. The approach is based on a Smoluchowskitype equation for the time evolution, in the presence of a sink, of a manybody probability distribution function. In the present calculations, which are an extension of work carried out by Pastor et al. [J. Chem. Phys. 105, 3878 (1996)] on completely flexible Gaussian chains, the polymer is modeled as a continuous curve with a nonzero energy of bending. Inextensibility is enforced on average through chainend contributions that suppress the excess fluctuations that lead to departures from the Kratky–Porod result for the meansquare endtoend distance. The sink term in the generalized diffusion equation that describes the dynamics of the chain is modeled as a modified step function along the lines suggested by Pastor et al. Detailed calculations of \tau as a function of the chain length N, the reaction distance a, and the stiffness parameter z are presented. Among other results, \tau is found to be a power law in N, with a zdependent scaling exponent that ranges between about 2.2–2.4.
Item Type:  Journal Article 

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Additional Information:  Copyright for this article belongs to American Institute of Physics (AIP). 
Department/Centre:  Division of Chemical Sciences > Inorganic & Physical Chemistry 
Date Deposited:  30 Dec 2004 
Last Modified:  19 Sep 2010 04:17 
URI:  http://eprints.iisc.ernet.in/id/eprint/2488 
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