Driven polymer translocation through a nanopore: a manifestation of anomalous diffusion
| dc.creator | Dubbeldam, J. L. A. | |
| dc.creator | Milchev, A. | |
| dc.creator | Rostiashvili, V. G. | |
| dc.creator | Vilgis, T. A. | |
| dc.date | 2007-02-20 | |
| dc.date | 2007-06-05 | |
| dc.date.accessioned | 2026-07-07T08:20:37Z | |
| dc.date.available | 2026-07-07T08:20:37Z | |
| dc.description | We study the translocation dynamics of a polymer chain threaded through a nanopore by an external force. By means of diverse methods (scaling arguments, fractional calculus and Monte Carlo simulation) we show that the relevant dynamic variable, the translocated number of segments $s(t)$, displays an {\em anomalous} diffusive behavior even in the {\em presence} of an external force. The anomalous dynamics of the translocation process is governed by the same universal exponent $α= 2/(2ν+2 - γ_1)$, where $ν$ is the Flory exponent and $γ_1$ - the surface exponent, which was established recently for the case of non-driven polymer chain threading through a nanopore. A closed analytic expression for the probability distribution function $W(s, t)$, which follows from the relevant {\em fractional} Fokker - Planck equation, is derived in terms of the polymer chain length $N$ and the applied drag force $f$. It is found that the average translocation time scales as $τ\propto f^{-1}N^{\frac{2}α -1}$. Also the corresponding time dependent statistical moments, $< s(t) > \propto t^α$ and $< s(t)^2 > \propto t^{2α}$ reveal unambiguously the anomalous nature of the translocation dynamics and permit direct measurement of $α$ in experiments. These findings are tested and found to be in perfect agreement with extensive Monte Carlo (MC) simulations. | |
| dc.description | 6 pages, 4 figures, accepted to Europhys. Lett; some references were supplemented; typos were corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0702463 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0702463 | |
| dc.identifier | Europhys. Lett. 79, 18002 (2007) | |
| dc.identifier | doi:10.1209/0295-5075/79/18002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135121 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Driven polymer translocation through a nanopore: a manifestation of anomalous diffusion | |
| dc.type | text |