Pore-blockade Times for Field-Driven Polymer Translocation

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dc.creatorVocks, Henk
dc.creatorPanja, Debabrata
dc.creatorBarkema, Gerard T.
dc.creatorBall, Robin C.
dc.date2007-10-25
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:20:41Z
dc.date.available2026-07-07T09:20:41Z
dc.descriptionWe study pore blockade times for a translocating polymer of length $N$, driven by a field $E$ across the pore in three dimensions. The polymer performs Rouse dynamics, i.e., we consider polymer dynamics in the absence of hydrodynamical interactions. We find that the typical time the pore remains blocked during a translocation event scales as $\sim N^{(1+2ν)/(1+ν)}/E$, where $ν\simeq0.588$ is the Flory exponent for the polymer. In line with our previous work, we show that this scaling behaviour stems from the polymer dynamics at the immediate vicinity of the pore -- in particular, the memory effects in the polymer chain tension imbalance across the pore. This result, along with the numerical results by several other groups, violates the lower bound $\sim N^{1+ν}/E$ suggested earlier in the literature. We discuss why this lower bound is incorrect and show, based on conservation of energy, that the correct lower bound for the pore-blockade time for field-driven translocation is given by $ηN^{2ν}/E$, where $η$ is the viscosity of the medium surrounding the polymer.
dc.description14 pages, 6 figures, slightly shorter than the previous version; to appear in J. Phys.: Cond. Mat
dc.identifierhttps://arxiv.org/abs/0710.4940
dc.identifierhttp://arxiv.org/abs/0710.4940
dc.identifierJ. Phys.: Condens. Matter 20, 095224 (2008)
dc.identifierdoi:10.1088/0953-8984/20/9/095224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154796
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.subjectBiomolecules
dc.titlePore-blockade Times for Field-Driven Polymer Translocation
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