title: Dynamical scaling exponents for polymer translocation through a nanopore.
abstract: 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 tau approximately Nalpha and the mean-square change of the PT coordinate, <s2(t)> approximately tbeta. We find alpha=1+2nu and beta=2/alpha for unbiased PT in two dimensions (2D) and three dimensions (3D). The relation alphabeta=2 holds for driven PT in 2D, with a crossover from alpha approximately 2nu for short chains to alpha approximately 1+nu for long chains. This crossover is, however, absent in 3D where alpha=1.42+/-0.01 and alphabeta approximately 2.2 for N approximately 40-800.
authors.affiliation: Department of Applied Physics, Helsinki University of Technology, P.O. Box 1100, FIN-02015 TKK, Espoo, Finland.
authors.forename: Kaifu
authors.initials: K
authors.lastname: Luo
authors.forename: Santtu T T
authors.initials: ST
authors.lastname: Ollila
authors.forename: Ilkka
authors.initials: I
authors.lastname: Huopaniemi
authors.forename: Tapio
authors.initials: T
authors.lastname: Ala-Nissila
authors.forename: Pawel
authors.initials: P
authors.lastname: Pomorski
authors.forename: Mikko
authors.initials: M
authors.lastname: Karttunen
authors.forename: See-Chen
authors.initials: SC
authors.lastname: Ying
authors.forename: Aniket
authors.initials: A
authors.lastname: Bhattacharya
mesh_terms: D008422:Materials Testing / Q000379:methods; D008832:Microchemistry / Q000379:methods; D008968:Molecular Conformation; D049329:Nanostructures; D011108:Polymers / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D011108:Polymers