Dynamics of end-pulled polymer translocation through a nanopore

¹ Department of Applied Physics and QTF Center of Excellence, Aalto University School of Science P.O. Box 11000, FI-00076 Aalto, Espoo, Finland
² School of Nano Science, Institute for Research in Fundamental Sciences (IPM) - 19395-5531, Tehran, Iran
³ Department of Mathematical Sciences, Loughborough University - Loughborough, Leicestershire LE11 3TU, UK
⁴ Department of Chemistry, Indian Institute of Science Education and Research - Pune, Maharashtra, India
⁵ Department of Physics, Loughborough University - Loughborough, Leicestershire LE11 3TU, UK

^(a) jalal.sarabadani@aalto.fi
^(b) srabanti@iiserpune.ac.in

Received: 30 October 2017
Accepted: 7 January 2018

Abstract

We consider the translocation dynamics of a polymer chain forced through a nanopore by an external force on its head monomer on the trans side. For a proper theoretical treatment we generalize the iso-flux tension propagation (IFTP) theory to include friction arising from the trans side subchain. The theory reveals a complicated scenario of multiple scaling regimes depending on the configurations of the cis and the trans side subchains. In the limit of high driving forces f such that the trans subchain is strongly stretched, the theory is in excellent agreement with molecular dynamics simulations and allows an exact analytic solution for the scaling of the translocation time τ as a function of the chain length N₀ and f. In this regime the asymptotic scaling exponents for are , and . The theory reveals significant correction-to-scaling terms arising from the cis side subchain and pore friction, which lead to a very slow approach to from below as a function of increasing N₀.