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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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 > Physics
Library of Congress Subject Headings (LCSH):	Biological transport -- Mathematical models
Publisher:	Cornell University Library
Place of Publication:	Cornell
Official Date:	July 2007
Dates:	Date Event July 2007 Submitted
Number of Pages:	9
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
URI:	http://wrap.warwick.ac.uk/id/eprint/35731

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