Dynamical Scaling Exponents for Polymer Translocation through a Nanopore
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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 $τ\sim N^α$ and the mean-square change of the PT coordinate $<s^2(t)> \sim t^β$. We find $α=1+2ν$ and $β=2/α$ for unbiased PT in 2D and 3D. The relation $αβ=2$ holds for driven PT in 2D, with crossover from $α\approx 2ν$ for short chains to $α\approx 1+ν$ for long chains. This crossover is, however, absent in 3D where $α= 1.42 \pm 0.01$ and $αβ\approx 2.2$ 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)
4 pages, 4 figures, minor changes in the text, To be published in: Phys. Rev. E 78, xxxxxx(R) (2008)