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arXiv 2108.02591cond-mat.soft
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稀胶体悬浮液中时间相关的活性微流变学

Time-dependent active microrheology in dilute colloidal suspensions

Sebastian Leitmann, Suvendu Mandal, Matthias Fuchs, Antonio M. Puertas, Thomas Franosch

摘要:

在微流变学装置中,浸入复杂流体中的单个探针颗粒暴露于强外力,驱动系统脱离平衡。在这里,我们阐述了分析的时间依赖性的响应的探针粒子在布朗粒子的稀悬浮液中的一个大的步进力,确切地在第一顺序的浴粒子的密度。对于任意小的驱动,与时间相关的漂移速度以指数方式快速接近其稳态值,这与编码在速度自相关函数的长时间尾部中的线性响应的幂律预测形成鲜明对比。我们表明,定态行为依赖于非解析的驱动力,并连接这种行为的持久相关性的平衡态。我们认为,这种关系一般成立。此外,我们阐述了在力的方向上的波动显示瞬态超扩散行为。

英文摘要:

In a microrheological set-up a single probe particle immersed in a complex fluid is exposed to a strong external force driving the system out of equilibrium. Here, we elaborate analytically the time-dependent response of a probe particle in a dilute suspension of Brownian particles to a large step-force, exact in first order of the density of the bath particles. The time-dependent drift velocity approaches its stationary state value exponentially fast for arbitrarily small driving in striking contrast to the power-law prediction of linear response encoded in the long-time tails of the velocity autocorrelation function. We show that the stationary-state behavior depends nonanalytically on the driving force and connect this behavior to the persistent correlations in the equilibrium state. We argue that this relation holds generically. Furthermore, we elaborate that the fluctuations in the direction of the force display transient superdiffusive behavior.

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