Exact curvilinear diffusion coefficients in the repton model
Département de Recherche Fondamentale sur la Matière Condensée, CEA Grenoble, UMR 5819 (UJF, CNRS, CEA) SPrAM, 17 rue des Martyrs, 38054, Grenoble, France
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Accepted: 30 August 2005
Published online: 19 October 2005
The Rubinstein-Duke or repton model is one of the simplest lattice model of reptation for the diffusion of a polymer in a gel or a melt. Recently, a slightly modified model with hardcore interactions between the reptons has been introduced. The curvilinear diffusion coefficients of both models are exactly determined for all chain lengths. The case of periodic boundary conditions is also considered.
PACS: 36.20.-r Macromolecules and polymer molecules – / 83.10.Kn Reptation and tube theories – / 05.40.Jc Brownian motion –
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2005