Iso-Flux Tension Propagation Theory of Driven Polymer Translocation: The Role of Initial Configurations

Loading...
Thumbnail Image

Access rights

openAccess
publishedVersion

URL

Journal Title

Journal ISSN

Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

Major/Subject

Mcode

Degree programme

Language

en

Pages

Series

Journal of Chemical Physics, Volume 141, pp. 1-9

Abstract

We investigate the dynamics of pore-driven polymer translocation by theoretical analysis and molecular dynamics (MD) simulations. Using the tension propagation theory within the constant flux approximation we derive an explicit equation of motion for the tension front. From this we derive a scaling relation for the average translocation time τ, which captures the asymptotic result τ∝N1+ν0, where N0 is the chain length and ν is the Flory exponent. In addition, we derive the leading correction-to-scaling term to τ and show that all terms of order N2ν0 exactly cancel out, leaving only a finite-chain length correction term due to the effective pore friction, which is linearly proportional to N0. We use the model to numerically include fluctuations in the initial configuration of the polymer chain in addition to thermal noise. We show that when the cis side fluctuations are properly accounted for, the model not only reproduces previously known results but also considerably improves the estimates of the monomer waiting time distribution and the time evolution of the translocation coordinate s(t), showing excellent agreement with MD simulations.

Description

Other note

Citation

Sarabadani, J, Ikonen, T & Ala-Nissila, T 2014, 'Iso-Flux Tension Propagation Theory of Driven Polymer Translocation: The Role of Initial Configurations', Journal of Chemical Physics, vol. 141, 214907, pp. 1-9. https://doi.org/10.1063/1.4903176