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arXiv · 0805.4168

Probability distributions for polymer translocation

Clément Chatelain·Yacov Kantor·Mehran Kardar
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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 , 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 that grows sub-diffusively as t^α with α~0.8. For times exceeding , P(s,t) of the polymers that have not yet finished their translocation has a non-trivial stable shape.

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Clément Chatelain, Yacov Kantor, Mehran Kardar. 2008-05-27. Probability distributions for polymer translocation. https://doi.org/10.1103/physreve.78.021129

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