论文标题
自生磁盘的非棕色扩散和混乱的流变学
Non-Brownian diffusion and chaotic rheology of autophoretic disks
论文作者
论文摘要
二维自生磁盘的动力学被量化为活性液滴进行的混乱轨迹的最小模型。通过直接数值模拟，我们表明静态流体中磁盘的平均值位移长期是线性的。然而，令人惊讶的是，由于位移张量的强烈交叉相关，这种显然扩散的行为是非棕色的。检查了剪切流场对2D自生磁盘混沌运动的影响。在这里，磁盘上的压力对于弱剪切流而言是混乱的。此类磁盘的稀释悬浮液会表现出混乱的剪切流性。随着流动强度的增加，这种混乱的流变学首先被淬灭，并最终达到稳态状态。
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.
