自泳圆盘的非布朗扩散与混沌流变学
Non-Brownian diffusion and chaotic rheology of autophoretic disks
AI总结：
本研究以二维自泳圆盘为活性液滴的最小模型，通过数值模拟发现其长时间均方位移呈线性但为非布朗扩散，且弱剪切下稀悬浮液呈混沌流变，随流速增强会依次变为周期态和稳态。
摘要：
本研究将二维自泳圆盘的动力学量化为活性液滴混沌轨迹的最小模型。通过直接数值模拟，我们发现静止流体中圆盘的均方位移在长时间尺度下呈线性关系。但令人意外的是，由于位移张量中存在强互相关性，这种看似扩散的行为属于非布朗扩散。我们还研究了剪切流场对二维自泳圆盘混沌运动的影响：在弱剪切流条件下，圆盘上的应力元呈混沌状态，由这类圆盘组成的稀悬浮液会表现出混沌剪切流变特性；随着流动强度增加，该混沌流变特性会先被抑制为周期状态，最终变为稳态。
英文摘要：
The dynamics of a two dimensional autophoretic disk is quantified as a minimal model for the chaotic trajectories undertaken by active droplets. Via direct numerical simulations, we show that the mean-square displacement of the disk in a quiescent fluid is linear at long times. Surprisingly, however, this apparently diffusive behavior is non-Brownian, owing to strong cross-correlations in the displacement tensor. The effect of a shear flow field on the chaotic motion of a 2D autophoretic disk is examined. Here, the stresslet on the disk is chaotic for weak shear flows; a dilute suspension of such disks would exhibit a chaotic shear rheology. This chaotic rheology is quenched first into a periodic state and ultimately a steady state as the flow strength is increased.
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