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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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WRAP_Ball_Effect_anomalous_dynamics.pdf - Submitted Version - Requires a PDF viewer. Download (1745Kb) |
Official URL: http://arxiv.org/abs/cond-mat/0610671v2
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) | ||||
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Subjects: | Q Science > QC Physics Q Science > QP Physiology |
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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: |
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Number of Pages: | 9 | ||||
Status: | Not Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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