Dynamical Scaling Exponents for Polymer Translocation through a Nanopore

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dc.creatorLuo, Kaifu
dc.creatorOllila, Santtu T. T.
dc.creatorHuopaniemi, Ilkka
dc.creatorAla-Nissila, Tapio
dc.creatorPomorski, Pawel
dc.creatorKarttunen, Mikko
dc.creatorYing, See-Chen
dc.creatorBhattacharya, Aniket
dc.date2008-05-28
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:16:38Z
dc.date.available2026-07-07T10:16:38Z
dc.descriptionWe 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 $N \approx 40-800$.
dc.description4 pages, 4 figures, minor changes in the text, To be published in: Phys. Rev. E 78, xxxxxx(R) (2008)
dc.identifierhttps://arxiv.org/abs/0805.4312
dc.identifierhttp://arxiv.org/abs/0805.4312
dc.identifierPhys. Rev. E 78, 050901(R) (2008)
dc.identifierdoi:10.1103/PhysRevE.78.050901
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173573
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleDynamical Scaling Exponents for Polymer Translocation through a Nanopore
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