论文标题
精确的轴对称性相互作用
Exact axisymmetric interaction of phoretically active Janus particles
论文作者
论文摘要
我们研究了两个化学活性的Janus颗粒的轴对称相互作用。通过依靠字段方程和对称参数的线性性，我们为粒子的相对速度提供了通用解决方案。我们表明，无论系统的化学特性如何，相对速度都可以写为几何函数的线性求和，仅取决于粒子之间的间隙大小。我们通过确切的方法评估这些功能，该方法解释了完整的化学和流体动力相互作用。使用获得的解决方案，我们揭示了每个隔室在相对运动中的作用，并讨论了不同相互作用的贡献。然后，我们证明描述两个Janus粒子相对运动的动力系统最多可以具有三个固定点。这些固定点可以是稳定的或不稳定的，表明两个Janus颗粒的系统可以表现出各种非平地行为，具体取决于它们的初始间隙尺寸及其化学特性。我们还查看了一个隔间是惰性的janus颗粒的特定情况，并介绍了其在活动可能性参数空间中相对行为的制度图。
We study the axisymmetric interaction of two chemically active Janus particles. By relying on the linearity of the field equations and symmetry arguments, we derive a generic solution for the relative velocity of the particles. We show that regardless of the chemical properties of the system, the relative velocity can be written as a linear summation of geometrical functions which only depend on the gap size between the particles. We evaluate these functions via an exact approach which accounts for the full chemical and hydrodynamic interactions. Using the obtained solution, we expose the role of each compartment in the relative motion, and also discuss the contribution of different interactions. We then show that the dynamical system describing the relative motion of two Janus particles can have up to three fixed points. These fixed points can be stable or unstable, indicating that a system of two Janus particles can exhibit a variety of nontrivial behaviour depending on their initial gap size, and their chemical properties. We also look at the specific case of Janus particles in which one compartment is inert, and present regime diagrams for their relative behaviour in the activity-mobility parameter space.
