各向异性活性物质的格子Boltzmann流体力学
Lattice-Boltzmann Hydrodynamics of Anisotropic Active Matter
摘要：
存在过多的活性物质模型来描述自推进粒子（或游泳者）的行为，包括有和没有流体动力学。然而，很少有研究考虑形状各向异性游泳者，包括流体动力学的相互作用。在这里，我们介绍了一个简单的方法来模拟自推进胶体相互作用的流体动力学在粘性介质中使用格子玻尔兹曼技术。我们的模型是基于树莓型粘性耦合和力/反力的形式主义，确保系统是免费的。我们考虑了几个各向异性的形状，并描述其流体动力学多极流场。我们证明，形状各向异性可以导致存在一个强大的四极和八极矩，除了主偶极矩。模拟和表征这些高阶矩的能力将被证明是理解模型游泳者在限制几何形状中的行为的关键。
英文摘要：
A plethora of active matter models exist that describe the behavior of self-propelled particles (or swimmers), both with and without hydrodynamics. However, there are few studies that consider shape-anisotropic swimmers and include hydrodynamic interactions. Here, we introduce a simple method to simulate self-propelled colloids interacting hydrodynamically in a viscous medium using the lattice-Boltzmann technique. Our model is based on raspberry-type viscous coupling and a force/counter-force formalism which ensures that the system is force free. We consider several anisotropic shapes and characterize their hydrodynamic multipolar flow field. We demonstrate that shape-anisotropy can lead to the presence of a strong quadrupole and octupole moments, in addition to the principle dipole moment. The ability to simulate and characterize these higher-order moments will prove crucial for understanding the behavior of model swimmers in confining geometries.
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