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Origin and effects of anomalous dynamics on unbiased polymer translocation

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Panja, Debabrata, Barkema, Gerard T. and Ball, Robin (2007) Origin and effects of anomalous dynamics on unbiased polymer translocation. Working Paper. Cornell: Cornell University Library.

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Official URL: http://arxiv.org/abs/cond-mat/0610671v2

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Abstract

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.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QC Physics
Q Science > QP Physiology
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Biological transport -- Mathematical models
Publisher: Cornell University Library
Place of Publication: Cornell
Official Date: July 2007
Dates:
DateEvent
July 2007Submitted
Number of Pages: 9
Status: Not Peer Reviewed
Access rights to Published version: Open Access

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