2008/05/31 by Kaifu Luo, Santtu T. T. Ollila, Ilkka Huopaniemi +8 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Approx #Combinatorics #Fuel Cells and Related Materials #Geometry #Ion-surface interactions and analysis #Mathematics #Nanopore and Nanochannel Transport Studies #Physics #Scaling #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.78.050901
published as Phys. Rev. E 78, 050901(R) (2008) · 4 pages, 4 figures, minor changes in the text, To be published in: Phys. Rev. E 78, xxxxxx(R) (2008)
arxiv created 2008/10/16 · openalex publication_date 2008/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We determine the scaling exponents of polymer translocation (PT) through a nanopore by extensive computer simulations of various microscopic models for chain lengths extending up to N=800 in some cases. We focus on the scaling of the average PT time \ensuremathτ\ensuremath∼N^\ensuremathα and the mean-square change of the PT coordinate, ⟨s2(t)⟩\ensuremath∼t^\ensuremathβ. We find \ensuremathα=1+2\ensuremathν and \ensuremathβ=2∕\ensuremathα for unbiased PT in two dimensions (2D) and three dimensions (3D). The relation \ensuremathα\ensuremathβ=2 holds for driven PT in 2D, with a crossover from \ensuremathα\ensuremath≈2\ensuremathν for short chains to \ensuremathα\ensuremath≈1+\ensuremathν for long chains. This crossover is, however, absent in 3D where \ensuremathα=1.42\ifmmode±\else\textpm\fi0.01 and \ensuremathα\ensuremathβ\ensuremath≈2.2 for N\ensuremath≈40\ensuremath-800.