Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-04-24
Phys. Rev. Lett. 99 (2007) 098302
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 3 figures, 1 table; final version
Scientific paper
10.1103/PhysRevLett.99.098302
The time-dependent transverse response of stiff polymers, represented as weakly-bending wormlike chains (WLCs), is well-understood on the linear level, where transverse degrees of freedom evolve independently from the longitudinal ones. We show that, beyond a characteristic time scale, the nonlinear coupling of transverse and longitudinal motion in an inextensible WLC significantly weakens the polymer response compared to the widely used linear response predictions. The corresponding feedback mechanism is rationalized by scaling arguments and quantified by a multiple scale approach that exploits an inherent separation of transverse and longitudinal correlation length scales. Crossover scaling laws and exact analytical and numerical solutions for characteristic response quantities are derived for different experimentally relevant setups. Our findings are applicable to cytoskeletal filaments as well as DNA under tension.
Hallatschek Oskar
Obermayer Benedikt
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