Anisotropic Hydrodynamic Mean-Field Theory for Semiflexible Polymers under Tension

Details Anisotropic Hydrodynamic Mean-Field Theory for Semiflexible Polymers under Tension Anisotropic Hydrodynamic Mean-Field Theory for Semiflexible Polymers under Tension

2009-08-04

arxiv.org/abs/0908.0376v2

Physics

Condensed Matter

Soft Condensed Matter

22 pages, 9 figures; revised version with additional calculations and experimental comparison; accepted for publication in Mac

Scientific paper

We introduce an anisotropic mean-field approach for the dynamics of semiflexible polymers under intermediate tension, the force range where a chain is partially extended but not in the asymptotic regime of a nearly straight contour. The theory is designed to exactly reproduce the lowest order equilibrium averages of a stretched polymer, and treats the full complexity of the problem: the resulting dynamics include the coupled effects of long-range hydrodynamic interactions, backbone stiffness, and large-scale polymer contour fluctuations. Validated by Brownian hydrodynamics simulations and comparison to optical tweezer measurements on stretched DNA, the theory is highly accurate in the intermediate tension regime over a broad dynamical range, without the need for additional dynamic fitting parameters.

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