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摘要翻译：
本文研究了平面约束外三维聚合物的迁移。三种膜分别位于$Z=-H$，$Z=0$，$Z=H_1$。这些膜是密不透风的，除了中间的$z=0$有一个狭窄的孔。一种长度为$N$的聚合物最初夹在放置在$Z=-H$和$Z=0$的膜之间，并通过该孔转移。我们考虑强约束（小$H$)，其中聚合物本质上被简化为二维聚合物，回转半径标度为$r^{\tinytext{(2d)}}_g\sim n^{\nu_{\tinytext{2d}}}$；这里，$\nu_{\tinytext{2d}}=0.75$是二维的Flory指数。聚合物表现出激发的动力学。基于理论分析和高精度的模拟数据，我们发现在无偏情况下$h=h1$,驻留时间$\tau_d$刻度为$n^{2+\nu_{tinytext{2d}}$,与我们先前发表的理论框架完全一致。对于$H_1=\infty$,该情况相当于二维场驱动易位。我们证明了在这种情况下$\tau_d$缩放为$n^{2\nu_{\tinytext{2d}}$，这与文献中已有的几个数值结果是一致的。此结果违反了先前报告的用于场驱动易位的$\tau_d$的下限$n^{1+\nu}$。根据能量守恒，我们认为$\tau_d$的实际下限是$n^{2\nu}$而不是$n^{1+\nu}$。因此，在这种理论上有动机的几何构型中，聚合物易位解决了一些最基本的问题，这些问题是最近激烈辩论的主题。
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英文标题：
《Polymer Translocation out of Planar Confinements》
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作者：
Debabrata Panja, Gerard T. Barkema and Robin C. Ball
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
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.
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PDF链接：
https://arxiv.org/pdf/710.0147
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