Scaling theory of driven polymer translocation

Abstract

We present a theoretical argument to derive a scaling law between the mean translocation time $\tau$ and the chain length $N$ for driven polymer translocation. This scaling law explicitly takes into account the pore-polymer interactions, which appear as a correction term to asymptotic scaling and are responsible for the dominant finite size effects in the process. By eliminating the correction-to-scaling term we introduce a rescaled translocation time and show, by employing both the Brownian Dynamics Tension Propagation theory [Ikonen {\it et al.}, Phys. Rev. E {\bf 85}, 051803 (2012)] and molecular dynamics simulations that the rescaled exponent reaches the asymptotic limit in a range of chain lengths that is easily accessible to simulations and experiments. The rescaling procedure can also be used to quantitatively estimate the magnitude of the pore-polymer interaction from simulations or experimental data. Finally, we also consider the case of driven translocation with hydrodynamic interactions (HIs). We show that by augmenting the BDTP theory with HIs one reaches a good agreement between the theory and previous simulation results found in the literature. Our results suggest that the scaling relation between $\tau$ and $N$ is retained even in this case.

5 pages, 4 figures

References in corpus (13)

• Nonequilibrium dynamics of polymer translocation and straightening
• Influence of polymer-pore interactions on translocation
• Langevin Dynamics Simulations of Polymer Translocation through Nanopores
• Dynamical Scaling Exponents for Polymer Translocation through a Nanopore
• Comment on ``Passage Times for Unbiased Polymer Translocation through a Narrow Pore''
• Pore-blockade Times for Field-Driven Polymer Translocation
• Hydrodynamic correlations in the translocation of biopolymer through a nanopore: theory and multiscale simulations
• Influence of non-universal effects on dynamical scaling in driven polymer translocation
• Polymer translocation through a nanopore under a pulling force
• Dynamics of forced biopolymer translocation
• Translocation Dynamics with Attractive Nanopore-Polymer Interactions
• Critical evaluation of the computational methods used in the forced polymer translocation
• Dynamics of DNA translocation through an attractive nanopore

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• Driven translocation of a polymer: role of pore friction and crowding
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• Theoretical modeling of polymer translocation: From the electrohydrodynamics of short polymers to the fluctuating long polymers