Department of Physics, Universidad Autonoma Metropolitana-Iztapalapa, Mexico City 09340, Mexico.
Phys Rev E. 2018 Mar;97(3-1):032603. doi: 10.1103/PhysRevE.97.032603.
We present analytical expressions for the mean-square displacement of self-driven particles in general linear flows and trapped in a harmonic potential. The general expressions are applied to three types of linear flows, namely, shear flow, solid-body rotation flow, and extensional flow. By using Brownian dynamics simulations, the effect of trapping and external linear flows on the particles' distribution is also elucidated. These simulations also enabled us to validate our theoretical results.
我们给出了在一般线性流中被驱动粒子的均方位移的解析表达式，这些粒子同时还被限制在一个调和势中。这些通用表达式适用于三种类型的线性流，即剪切流、刚体旋转流和拉伸流。通过使用布朗动力学模拟，我们还阐明了限制和外部线性流对粒子分布的影响。这些模拟也使我们能够验证我们的理论结果。
