Effect of Anomalous Dynamics on Unbiased Polymer Translocation

Details Effect of Anomalous Dynamics on Unbiased Polymer Translocation Effect of Anomalous Dynamics on Unbiased Polymer Translocation

2006-10-24

arxiv.org/abs/cond-mat/0610671v2

Physics

Condensed Matter

Soft Condensed Matter

Significantly rewritten; 9 pages, 7 figures (8 figure files)

Scientific paper

In this paper, we investigate the microscopic dynamics of a polymer of length $N$ translocating through a narrow pore. Characterization of its purportedly anomalous dynamics has so far remained incomplete. We show that the polymer dynamics is anomalous until the Rouse time $\tau_{R}\sim N^{1+2\nu}$, with a mean square displacement through the pore consistent with $t^{(1+\nu)/(1+2\nu)}$, with $\nu\approx0.588$ the Flory exponent. This is shown to be directly related to a decay in time of the excess monomer density near the pore as $t^{-(1+\nu)/(1+2\nu)}\exp(-t/\tau_{R})$. Beyond the Rouse time translocation becomes diffusive. In consequence of this, the dwell-time $\tau_{d}$, the time a translocating polymer typically spends within the pore, scales as $N^{2+\nu}$, in contrast to previous claims.

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