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arXiv 1609.02017cond-mat.softphysics.comp-ph
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张力作用下绕polymer链的环之间的波动诱导力

Fluctuation-induced forces between rings threaded around a polymer chain under tension

F. M. Gilles, R. Llubaroff, C. Pastorino

摘要:

我们刻画了高分子链在外部张力作用下的涨落性质以及涨落引起的两个环分子之间的作用力。这个问题是相关的上下文中的波动诱导力在软物质系统,液体界面的功能和描述的聚轮烷和滑环材料的性能。我们进行分子动力学模拟的Kremer-Grest珠弹簧模型的聚合物和一个简单的环分子模型,在正则系综。我们研究的横向波动的拉伸链,作为一个功能的链拉伸和存在的环形螺纹分子。在恒温平衡下分析了链的涨落谱,并比较了两个环分子存在时的差异。对于位于固定距离的环,我们发现一个吸引力的波动引起的环之间的力,成正比的温度和衰减的环距离。我们的特点是这种力作为环的距离,链拉伸,环半径的函数和测量之间的差异的自由链的频谱和波动的链约束的环。我们还将模拟中发现的力的依赖性和范围与来自不同领域的理论模型进行了比较。

英文摘要:

We characterize the fluctuation properties of a polymer chain under external tension and the fluctuation-induced forces between two ring molecules threaded around the chain. The problem is relevant in the context of fluctuation-induced forces in soft matter systems, features of liquid interfaces and to describe properties of polyrotaxanes and slide-ring materials. We perform molecular dynamics simulations of the Kremer-Grest bead-spring model for the polymer and a simple ring-molecule model, in the canonical ensemble. We study transverse fluctuations of the stretched chain, as a function of chain stretching and in the presence of ring-shaped threaded molecules. The fluctuation spectra of the chains are analyzed in equilibrium at constant temperature and the differences in presence of two ring molecules are compared. For the rings located at fixed distances, we find an attractive fluctuation-induced force between the rings, proportional to the temperature and decaying with the ring distance. We characterize this force as a function of ring distance, chain stretching, ring radius and measure the differences between the free chain spectrum and the fluctuations of the chain constrained by the rings. We also compare the dependence and range of the force found in the simulations with theoretical models coming from different fields.

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