Polymer Translocation out of Planar Confinements
| dc.creator | Panja, Debabrata | |
| dc.creator | Barkema, Gerard T. | |
| dc.creator | Ball, Robin C. | |
| dc.date | 2007-09-30 | |
| dc.date | 2007-11-19 | |
| dc.date.accessioned | 2026-07-07T08:56:39Z | |
| dc.date.available | 2026-07-07T08:56:39Z | |
| dc.description | Polymer translocation in three dimensions out of planar confinements is studied in this paper. Three membranes are located at $z=-h$, $z=0$ and $z=h_1$. These membranes are impenetrable, except for the middle one at $z=0$, which has a narrow pore. A polymer with length $N$ is initially sandwiched between the membranes placed at $z=-h$ and $z=0$ and translocates through this pore. We consider strong confinement (small $h$), where the polymer is essentially reduced to a two-dimensional polymer, with a radius of gyration scaling as $R^{\tinytext{(2D)}}_g \sim N^{ν_{\tinytext{2D}}}$; here, $ν_{\tinytext{2D}}=0.75$ is the Flory exponent in two dimensions. The polymer performs Rouse dynamics. Based on theoretical analysis and high-precision simulation data, we show that in the unbiased case $h=h_1$, the dwell-time $τ_d$ scales as $N^{2+ν_{\tinytext{2D}}}$, in perfect agreement with our previously published theoretical framework. For $h_1=\infty$, the situation is equivalent to field-driven translocation in two dimensions. We show that in this case $τ_d$ scales as $N^{2ν_{\tinytext{2D}}}$, in agreement with several existing numerical results in the literature. This result violates the earlier reported lower bound $N^{1+ν}$ for $τ_d$ for field-driven translocation. We argue, based on energy conservation, that the actual lower bound for $τ_d$ is $N^{2ν}$ and not $N^{1+ν}$. Polymer translocation in such theoretically motivated geometries thus resolves some of the most fundamental issues that are the subjects of much heated debate in recent times. | |
| dc.description | Minor changes; 18+ pages, 8 figures, 5 tables, to appear in J. Phys: Cond. Mat | |
| dc.identifier | https://arxiv.org/abs/0710.0147 | |
| dc.identifier | http://arxiv.org/abs/0710.0147 | |
| dc.identifier | J. Phys.: Condens. Matter 20, 075101 (2008) | |
| dc.identifier | doi:10.1088/0953-8984/20/7/075101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146685 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.title | Polymer Translocation out of Planar Confinements | |
| dc.type | text |