Volume 79, Number 1, July 2007
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||07 June 2007|
Driven polymer translocation through a nanopore: A manifestation of anomalous diffusion
Max Planck Institute for Polymer Research - 10 Ackermannweg 55128 Mainz, Germany
2 Delft University of Technology - 2628CD Delft, The Netherlands
3 Institute for Physical Chemistry Bulgarian Academy of Science - 1113 Sofia, Bulgaria
Accepted: 18 May 2007
We study the translocation dynamics of a polymer chain threaded through a nanopore by an external force. By means of diverse methods (scaling arguments, fractional calculus and Monte Carlo simulation) we show that the relevant dynamic variable, the translocated number of segments , displays an anomalous diffusive behavior even in the presence of an external force. The anomalous dynamics of the translocation process is governed by the same universal exponent , where ν is the Flory exponent and the surface exponent, which was established recently for the case of non-driven polymer chain threading through a nanopore. A closed analytic expression for the probability distribution function , which follows from the relevant fractional Fokker-Planck equation, is derived in terms of the polymer chain length N and the applied drag force f. It is found that the average translocation time scales as . Also the corresponding time-dependent statistical moments, and reveal unambiguously the anomalous nature of the translocation dynamics and permit direct measurement of α in experiments. These findings are tested and found to be in perfect agreement with extensive Monte Carlo (MC) simulations.
PACS: 82.35.Lr – Physical properties of polymers / 87.15.Vv – Diffusion / 87.15.Aa – Theory and modeling; computer simulation
© Europhysics Letters Association, 2007
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