Probability distributions for polymer translocation
arXiv:0805.4168 · 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 that grows sub-diffusively as t^α with α~0.8. For times exceeding <T>, P(s,t) of the polymers that have not yet finished their translocation has a non-trivial stable shape.
5 pages, 4 figures
References in corpus (5)
- Fractional Laplacian in Bounded Domains
- Langevin Dynamics Simulations of Polymer Translocation through Nanopores
- Polymer translocation through a nanopore - a showcase of anomalous diffusion
- Anomalous Dynamics of Unbiased Polymer Translocation through a Narrow Pore
- Comment on "Mean First Passage Time for Anomalous Diffusion"