Europhys. Lett.
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
Europhys. Lett., 75 (6), pp. 971-977 (2006)
DOI: 10.1209/epl/i2006-10206-6

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

A. E. Likthman1 and C. M. Marques2

1  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

received 14 June 2006; accepted in final form 25 July 2006
published online 16 August 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.

82.37.Np - Single molecule reaction kinetics, dissociation, etc.
82.35.-x - Polymers: properties; reactions; polymerization.

© EDP Sciences 2006