Abstract

As emphasized in a recent review (by V.V. Palyulin, T. Ala-Nissila, R. Metzler), theoretical understanding of the unbiased polymer translocation lags behind that of the (strongly) driven translocation. Here, we suggest the introduction of a weakly-driven regime, as described by the linear response theory to the unbiased regime, which is followed by the strongly-driven regime beyond the onset of nonlinear response. This provides a concise crossover scenario, bridging the unbiased to strongly-driven regimes.

Highlights

  • Macromolecules can be transported through a nanoscale pore by threading it

  • As long as the force is weak enough f < k B T/R N, the tension dynamics summarized in the beginning of Section 2 is intact, and the generic linear response argument yields the average dynamics of the translocation coordinate

  • As pointed out in Reference [11,12] and verified in subsequent works [14,15,17], the nonequilibrium dynamical effect becomes relevant for translocating polymer, which is driven by strong force

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Summary

Introduction

Macromolecules can be transported through a nanoscale pore by threading it. This process of polymer translocation has been extensively studied for the last two decades [1,2,3,4,5,6,7,8]. Translocation, depending on the absence or the presence of a driving force. We shall introduce the weakly-driven translocation regime in between.

Unbiased Translocation
Memory Function for Stress Relaxation
Unbiased Translocation Dynamics
Post-Propagation Stage
Weakly-Driven Dynamics
Strongly-Driven Dynamics
Summary of the Scaling Formulae
Unbiased and Weakly-Driven Regimes
Strongly-Driven Regime
Discussion
Full Text
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