Dynamical Scaling Exponents for Polymer Translocation through a Nanopore

Details Dynamical Scaling Exponents for Polymer Translocation through a Nanopore Dynamical Scaling Exponents for Polymer Translocation through a Nanopore

2008-05-28

arxiv.org/abs/0805.4312v2

Phys. Rev. E 78, 050901(R) (2008)

Physics

Condensed Matter

Soft Condensed Matter

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

Scientific paper

10.1103/PhysRevE.78.050901

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 $ \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 $N \approx 40-800$.

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