Probability distributions for polymer translocation

Clément Chatelain, Yacov Kantor, Mehran Kardar

Research output: Contribution to journalArticlepeer-review

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 tα with α 0.8. For times exceeding T, P (s,t) of the polymers that have not yet finished their translocation has a nontrivial stable shape.

Original languageEnglish
Article number021129
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume78
Issue number2
DOIs
StatePublished - 21 Aug 2008

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