Saito Takuya, Sakaue Takahiro
Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto 606-8103, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042606. doi: 10.1103/PhysRevE.88.042606. Epub 2013 Oct 24.
During polymer translocation driven by, e.g., voltage drop across a nanopore, the segments in the cis side are incessantly pulled into the pore, which are then pushed out of it into the trans side. This pulling and pushing of polymer segments are described in the continuum level by nonlinear transport processes known, respectively, as fast and slow diffusions. By matching solutions of both sides through the mass conservation across the pore, we provide a physical basis for the cis and trans dynamical asymmetry, a feature repeatedly reported in recent numerical simulations. We then predict how the total driving force is dynamically allocated between cis (pulling) and trans (pushing) sides, demonstrating that the trans-side event adds a weak finite-chain length effect to the dynamical scaling.
在例如由纳米孔两端的电压降驱动的聚合物转运过程中，顺式侧的链段不断被拉入孔中，然后被推出孔进入反式侧。聚合物链段的这种拉入和推出在连续介质层面上分别由被称为快速扩散和慢速扩散的非线性输运过程来描述。通过跨孔的质量守恒来匹配两侧的解，我们为顺式和反式动力学不对称性提供了物理基础，这是近期数值模拟中反复报道的一个特征。然后我们预测了总驱动力如何在顺式（拉入）和反式（推出）侧之间动态分配，证明反式侧事件给动力学标度增加了微弱的有限链长效应。
