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Probability distributions for polymer translocation

2008/05/27 by Clément Chatelain, Yacov Kantor, Mehran Kardar · 2 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Physics and Astronomy · #DNA and Nucleic Acid Chemistry #Electrostatics and Colloid Interactions #Nanopore and Nanochannel Transport Studies #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.78.021129

published as Phys. Rev. E 78, 021129 (2008) · 5 pages, 4 figures

arxiv created 2008/05/27 · openalex publication_date 2008/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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