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Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Aug;78(2):021129. doi: 10.1103/PhysRevE.78.021129. Epub 2008 Aug 21.

Probability distributions for polymer translocation.

Physical review. E, Statistical, nonlinear, and soft matter physics

Clément Chatelain, Yacov Kantor, Mehran Kardar

Affiliations

  1. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

PMID: 18850808 DOI: 10.1103/PhysRevE.78.021129

Abstract

We study the passage (translocation) of a self-avoiding polymer through a membrane pore in two dimensions. In particular, we numerically measure the probability distribution Q(T) of the translocation time T, and the distribution P(s,t) of the translocation coordinate s at various times t. When scaled with the mean translocation time T , Q(T) becomes independent of polymer length, and decays exponentially for large T. The probability P(s,t) is well described by a Gaussian at short times, with a variance of s that grows subdiffusively as talpha with alpha approximately 0.8. For times exceeding T , P(s,t) of the polymers that have not yet finished their translocation has a nontrivial stable shape.

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