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 $\tau \sim N^{\alpha }$ and the mean-square change of the PT coordinate $<s^2(t)>\sim t^{\beta }$. We find $\alpha =1+2\nu$ and $\beta =2/\alpha$ for unbiased PT in 2D and 3D. The relation $\alpha \beta =2$ holds for driven PT in 2D, with crossover from $\alpha \approx 2\nu$ for short chains to $\alpha \approx 1+\nu$ for long chains. This crossover is, however, absent in 3D where $\alpha =1.42\pm 0.01$ and $\alpha \beta \approx 2.2$ for $N\approx 40-800$.

4 pages, 4 figures, minor changes in the text, To be published in: Phys. Rev. E 78, xxxxxx(R) (2008)

References in corpus (18)

• Fast DNA translocation through a solid-state nanopore
• Polymer Translocation througha Pore in a Membrane
• Anomalous Dynamics of Translocation
• Anomalous Dynamics of Forced Translocation
• Influence of polymer-pore interactions on translocation
• Sequence dependence of DNA translocation through a nanopore
• Langevin Dynamics Simulations of Polymer Translocation through Nanopores
• Polymer translocation through a nanopore - a showcase of anomalous diffusion
• Polymer translocation through a nanopore: a two-dimensional Monte Carlo simulation
• Driven polymer translocation through a nanopore: a manifestation of anomalous diffusion
• Anomalous Dynamics of Unbiased Polymer Translocation through a Narrow Pore
• Polymer translocation through a nanopore under an applied external field
• Pore-blockade Times for Field-Driven Polymer Translocation
• Passage Times for Unbiased Polymer Translocation through a Narrow Pore
• Polymer translocation through a nanopore under a pulling force
• How long does it take to pull an ideal polymer into a small hole?
• Heteropolymer translocation through nanopores
• Polymer Translocation out of Planar Confinements

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• Polymer translocation under time-dependent driving forces: resonant activation induced by attractive polymer-pore interactions
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• Markovian Description of Unbiased Polymer Translocation
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• Finite-size scaling in unbiased translocation dynamics