First-passage problem for the Rouse polymer chain: An exact solution

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Published 16 August 2006 2006 EDP Sciences
, , Citation A. E. Likthman and C. M. Marques 2006 EPL 75 971 DOI 10.1209/epl/i2006-10206-6

0295-5075/75/6/971

Abstract

We solve the first-passage problem of a non-Markovian process arising in the reaction diffusion theory of polymer chains. By considering the Rouse chain, a free-draining dynamic model of a polymer where the chain monomers are represented by beads and the chain connectivity by harmonic springs, we develop an exact analytical method for describing the kinetics of end-chain reactions. Our analytical results illuminate the approximations used previously and are in perfect agreement with numerical stochastic simulations.

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10.1209/epl/i2006-10206-6