Volume 75, Number 6, September 2006
|Page(s)||971 - 977|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||16 August 2006|
First-passage problem for the Rouse polymer chain: An exact solution
Department of Applied Mathematics, University of Leeds - Leeds LS2 9JT, UK
2 Institut Charles Sadron-CNRS UP 22 - 6 rue Boussingault 67083 Strasbourg Cedex, France
Accepted: 25 July 2006
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.
PACS: 82.37.Np – Single molecule reaction kinetics, dissociation, etc / 82.35.-x – Polymers: properties; reactions; polymerization
© EDP Sciences, 2006
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