论文标题

两种腔合限制的聚合物的平衡行为:聚合物宽度和系统不对称的影响

Equilibrium behaviour of two cavity-confined polymers: Effects of polymer width and system asymmetries

论文作者

Rehel, Desiree A., Polson, James M.

论文摘要

使用纳米流体设备的实验已被证明有效地表征了局限于小空腔的聚合物的物理特性。最近使用此类方法的两项研究检查了两个DNA分子在盒子样腔中的组织和动力学,在一个方向上有强限制,并且在横向平面中具有正方形和椭圆形的横截面。在这些实验的激励下,我们采用蒙特卡洛和布朗动力学模拟来研究两种聚合物的物理行为,这些聚合物局限于小腔,形状与实验中使用的聚合物相当。我们量化了改变以下聚合物特性和限制维度对聚合物的组织和动力学的影响:聚合物宽度,聚合物轮廓长度比,腔横截面区域以及具有矩形和椭圆形横截面的腔的腔延伸程度。我们发现,聚合物通过增加聚合物宽度来增强聚合物的趋势。对于足够小的腔体,增加的腔伸长会促进相同的聚合物沿其长轴的相对侧的隔离和定位。自由能的屏障控制聚合物交换位置的速率,并且观察到的动态与简单的理论模型的预测大致相符。增加聚合物之间的轮廓长度差会显着影响其在腔中的组织。如果大型线性聚合物在椭圆形腔中与一个小环聚合物共捕获,则小聚合物倾向于靠近侧向壁上,尤其是在高度细长的椭圆形的腔线杆附近。

Experiments using nanofluidic devices have proven effective in characterizing the physical properties of polymers confined to small cavities. Two recent studies using such methods examined the organization and dynamics of two DNA molecules in box-like cavities with strong confinement in one direction and with square and elliptical cross sections in the lateral plane. Motivated by these experiments, we employ Monte Carlo and Brownian dynamics simulations to study the physical behaviour of two polymers confined to small cavities with shapes comparable to those used in the experiments. We quantify the effects of varying the following polymer properties and confinement dimensions on the organization and dynamics of the polymers: the polymer width, the polymer contour length ratio, the cavity cross-sectional area, and the degree of cavity elongation for cavities with rectangular and elliptical cross sections. We find that the tendency for polymers to segregate is enhanced by increasing polymer width. For sufficiently small cavities, increasing cavity elongation promotes segregation and localization of identical polymers to opposite sides of the cavity along its long axis. A free-energy barrier controls the rate of polymers swapping positions, and the observed dynamics are roughly in accord with predictions of a simple theoretical model. Increasing the contour length difference between polymers significantly affects their organization in the cavity. In the case of a large linear polymer co-trapped with a small ring polymer in an elliptical cavity, the small polymer tends to lie near the lateral confining walls, and especially at the cavity poles for highly elongated ellipses.

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