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)

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