Simulation of the active Brownian motion of a microswimmer
Simulation of the active Brownian motion of a microswimmer
复制标题
DOI：
10.1119/1.4870398
复制
发表时间：
2014-06
影响因子：
0.9
通讯作者：
G. Volpe;S. Gigan;G. Volpe
中科院分区：
文献类型：
--
作者：
G. Volpe;S. Gigan;G. Volpe
与被动布朗粒子不同，主动布朗粒子，也被称为微游泳者，以定向运动推动自己，从而使自己脱离平衡。了解它们的运动可以让我们深入了解与生物例子（如细菌）以及人工微游泳者相关的失衡现象。我们讨论了如何用一组随机微分方程对它们的运动进行数学建模，以及如何在齐次和复杂环境中使用相应的有限差分方程对它们的运动进行数值模拟。特别是，我们展示了活跃的布朗粒子是如何不遵循麦克斯韦-玻尔兹曼分布的——这是它们非平衡性质的一个明确标志——以及与被动的布朗粒子不同，微游泳者是如何被漏斗化、捕获和分类的。
Unlike passive Brownian particles, active Brownian particles, also known as microswimmers, propel themselves with directed motion and thus drive themselves out of equilibrium. Understanding their motion can provide insight into out-of-equilibrium phenomena associated with biological examples such as bacteria, as well as with artificial microswimmers. We discuss how to mathematically model their motion using a set of stochastic differential equations and how to numerically simulate it using the corresponding set of finite difference equations both in homogenous and complex environments. In particular, we show how active Brownian particles do not follow the Maxwell-Boltzmann distribution—a clear signature of their out-of-equilibrium nature—and how, unlike passive Brownian particles, microswimmers can be funneled, trapped, and sorted.