DNA electrophoresis studied with the cage model

Details DNA electrophoresis studied with the cage model DNA electrophoresis studied with the cage model

2001-01-31

arxiv.org/abs/cond-mat/0101467v2

Physics

Condensed Matter

Soft Condensed Matter

LaTeX (cjour.cls), 15 pages, 6 figures, added correctness proof of kink representation approach

Scientific paper

10.1006/jcph.2002.7095

The cage model for polymer reptation, proposed by Evans and Edwards, and its recent extension to model DNA electrophoresis, are studied by numerically exact computation of the drift velocities for polymers with a length L of up to 15 monomers. The computations show the Nernst-Einstein regime (v ~ E) followed by a regime where the velocity decreases exponentially with the applied electric field strength. In agreement with de Gennes' reptation arguments, we find that asymptotically for large polymers the diffusion coefficient D decreases quadratically with polymer length; for the cage model, the proportionality coefficient is DL^2=0.175(2). Additionally we find that the leading correction term for finite polymer lengths scales as N^{-1/2}, where N=L-1 is the number of bonds.

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