强约束蠕虫状链的相关函数
Correlation functions for strongly confined wormlike chains
AI总结：
本文使用平均场方法计算了约束在狭缝和圆柱体中蠕虫状链的横向与纵向相关函数，理论预测与蒙特卡洛模拟高度吻合，并提出利用可观测的纵向末端距推断不可观测横向统计特性的实验方法。
摘要：
描述约束条件下生物分子统计特性的聚合物模型，广泛应用于各种单分子实验技术，并为体内生物相关过程提供了深入见解。本文使用平均场方法（该方法在平均意义上强制施加刚性约束），分别确定了约束在狭缝和圆柱体（分别具有一个和两个约束维度）中的蠕虫状链的横向位置和弯曲相关函数。我们证明，对于弱约束和强约束两种情况，理论预测均能准确捕捉这两种约束几何形状下蒙特卡洛模拟中蠕虫状链的统计特性。我们还表明，对于约束在狭缝中的链，其纵向相关函数可以被准确计算，并利用该模型的准确性，提出了一种实验技术，即通过（可直接观测的）纵向末端距来推断（通常不可观测的）横向统计特性。
英文摘要：
Polymer models describing the statistics of biomolecules under confinement have applications to a wide range of single molecule experimental techniques and give insight into biologically relevant processes {\em{in vivo}}. In this paper, we determine the transverse position and bending correlation functions for a wormlike chain confined within slits and cylinders (with one and two confined dimensions, respectively) using a mean field approach that enforces rigid constraints on average. We show the theoretical predictions accurately capture the statistics of a wormlike chain from Monte Carlo simulations in both confining geometries for both weak and strong confinement. We also show that the longitudinal correlation function is accurately computed for a chain confined to a slit, and leverage the accuracy of the model to suggest an experimental technique to infer the (often unobservable) transverse statistics from the (directly observable) longitudinal end-to-end distance.
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