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Anomalous dynamics of unbiased polymer translocation through a narrow pore

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Panja, Debabrata, Barkema, Gerard T. and Ball, R. C.. (2007) Anomalous dynamics of unbiased polymer translocation through a narrow pore. Journal of Physics: Condensed Matter, Vol.19 (No.43). ISSN 0953-8984

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Official URL: http://dx.doi.org/10.1088/0953-8984/19/43/432202

Abstract

We consider a polymer of length N translocating through a narrow pore in the absence of external fields. The characterization of its purportedly anomalous dynamics has so far remained incomplete. We show that the polymer dynamics is anomalous up to the Rouse time tau(R) similar to N1+2 nu ., with a mean square displacement through the pore consistent with t((1+nu)/( 1+ 2 nu)), with nu approximate to 0.588 the Flory exponent. This is shown to be directly related to a decay over 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 N2+nu, in contrast to previous claims.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QP Physiology
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Polymers -- Physiological transport -- Mathematical models
Journal or Publication Title:	Journal of Physics: Condensed Matter
Publisher:	IOP Publishing Ltd
ISSN:	0953-8984
Date:	2007
Volume:	Vol.19
Number:	No.43
Number of Pages:	8
Identification Number:	10.1088/0953-8984/19/43/432202
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
URI:	http://wrap.warwick.ac.uk/id/eprint/31318