Polymer Translocation out of Planar Confinements

Details Polymer Translocation out of Planar Confinements Polymer Translocation out of Planar Confinements

2007-09-30

arxiv.org/abs/0710.0147v2

J. Phys.: Condens. Matter 20, 075101 (2008)

Physics

Condensed Matter

Soft Condensed Matter

Minor changes; 18+ pages, 8 figures, 5 tables, to appear in J. Phys: Cond. Mat

Scientific paper

10.1088/0953-8984/20/7/075101

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 $R^{\tinytext{(2D)}}_g \sim N^{\nu_{\tinytext{2D}}}$; here, $\nu_{\tinytext{2D}}=0.75$ 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 $\tau_d$ scales as $N^{2+\nu_{\tinytext{2D}}}$, 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 $\tau_d$ scales as $N^{2\nu_{\tinytext{2D}}}$, in agreement with several existing numerical results in the literature. This result violates the earlier reported lower bound $N^{1+\nu}$ for $\tau_d$ for field-driven translocation. We argue, based on energy conservation, that the actual lower bound for $\tau_d$ is $N^{2\nu}$ and not $N^{1+\nu}$. 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.

Affiliated with

Also associated with

No associations

Rating

Polymer Translocation out of Planar Confinements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polymer Translocation out of Planar Confinements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polymer Translocation out of Planar Confinements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-721835