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arXiv 1401.8013cond-mat.soft
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两个布朗硬球在亏格存在下的随机相互作用

Stochastic Interactions of Two Brownian Hard Spheres in the Presence of Depletants

Mehdi Karzar-Jeddi, Remco Tuinier, Takashi Taniguchi, Tai-Hsi Fan

摘要:

本文对非吸附性高分子溶液中布朗硬球对的随机相互作用进行了定量分析。硬球假设被光学镊子捕获,并允许在捕获位置附近进行随机运动。研究了长时间关联的布朗运动。迁移率张量由聚合物耗尽效应改变计算的边界积分方法,和相应的随机位移是由波动耗散定理确定。从我们的计算结果可以看出,与纯溶剂和纯聚合物溶液(无耗尽)的情况相比,硬球周围耗尽层的存在对流体动力学相互作用和粒子动力学有显着的影响。由于聚合物耗尽效应,被捕获的两个相互作用的硬球的随机行走的概率分布函数明显地发生了变化。结果表明,球体周围耗尽层粘度的降低以及耗尽区重叠产生的熵力对相关布朗相互作用有显着影响。

英文摘要:

A quantitative analysis is presented for the stochastic interactions of a pair of Brownian hard spheres in non-adsorbing polymer solutions. The hard spheres are hypothetically trapped by optical tweezers and allowed for random motion near the trapped positions. The investigation focuses on the long-time correlated Brownian motion. The mobility tensor altered by the polymer depletion effect is computed by the boundary integral method, and the corresponding random displacement is determined by the fluctuation-dissipation theorem. From our computations it follows that the presence of depletion layers around the hard spheres has a significant effect on the hydrodynamic interactions and particle dynamics as compared to pure solvent and pure polymer solution (no depletion) cases. The probability distribution functions of random walks of the two interacting hard spheres that are trapped clearly shifts due to the polymer depletion effect. The results show that the reduction of the viscosity in the depletion layers around the spheres and the entropic force due to the overlapping of depletion zones have a significant influence on the correlated Brownian interactions.

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