Furukawa Akira, Marenduzzo Davide, Cates Michael E
Institute of Industrial Science, University of Tokyo, Meguro-ku, Tokyo 153-8505, Japan.
School of Physics and Astronomy, University of Edinburgh, JCMB Kings Buildings, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Aug;90(2):022303. doi: 10.1103/PhysRevE.90.022303. Epub 2014 Aug 25.
Using a fluid-particle dynamics approach, we numerically study the effects of hydrodynamic interactions on the collective dynamics of active suspensions within a simple model for bacterial motility: each microorganism is modeled as a stroke-averaged dumbbell swimmer with prescribed dipolar force pairs. Using both simulations and qualitative arguments, we show that, when the separation between swimmers is comparable to their size, the swimmers' motions are strongly affected by activity-induced hydrodynamic forces. To further understand these effects, we investigate semidilute suspensions of swimmers in the presence of thermal fluctuations. A direct comparison between simulations with and without hydrodynamic interactions shows these to enhance the dynamic clustering at a relatively small volume fraction; with our chosen model the key ingredient for this clustering behavior is hydrodynamic trapping of one swimmer by another, induced by the active forces. Furthermore, the density dependence of the motility (of both the translational and rotational motions) exhibits distinctly different behaviors with and without hydrodynamic interactions; we argue that this is linked to the clustering tendency. Our study illustrates the fact that hydrodynamic interactions not only affect kinetic pathways in active suspensions, but also cause major changes in their steady state properties.
采用流体-粒子动力学方法,我们在一个简单的细菌运动模型中对流体动力学相互作用对活性悬浮液集体动力学的影响进行了数值研究:每个微生物被建模为具有规定偶极力对的冲程平均哑铃状游动体。通过模拟和定性论证,我们表明,当游动体之间的间距与其尺寸相当时,游动体的运动受到活性诱导流体动力的强烈影响。为了进一步理解这些影响,我们研究了存在热涨落时游动体的半稀悬浮液。有无流体动力学相互作用的模拟之间的直接比较表明,流体动力学相互作用在相对较小的体积分数下增强了动态聚集;在我们选择的模型中,这种聚集行为的关键因素是由活性力诱导的一个游动体对另一个游动体的流体动力学捕获。此外,有无流体动力学相互作用时,游动性(平动和转动)的密度依赖性表现出明显不同的行为;我们认为这与聚集趋势有关。我们的研究表明,流体动力学相互作用不仅影响活性悬浮液中的动力学路径,而且还会导致其稳态性质发生重大变化。