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