自泳环面
The autophoretic torus
摘要：
泳动分子为研究非平衡态统计物理提供了新的途径，也被誉为细胞尺度上生物工程的一项有前途的技术。到目前为止，这种游泳者运动的精确解仅限于球形。在本文中，我们解决了典型的非简单连接的形状，即轴对称的电泳环面引起的流动。解析解采用无穷级数解的形式，我们验证边界元计算。对于均匀化学活性的环面，孔中的限制效应允许环面充当泵，我们根据固定的颗粒表面积对其进行优化。在同样的约束下，我们接下来描述了最快的游泳Janus环面的表面化学的各种假设。也许令人惊讶的是，没有一个最佳环面出现在中心孔消失的极限中。
英文摘要：
Phoretic swimmers provide new avenues to study non-equilibrium statistical physics and are also hailed as a promising technology for bioengineering at the cellular scale. Exact solutions for the locomotion of such swimmers have been restricted so far to spheroidal shapes. In this paper we solve for the flow induced by the canonical non-simply connected shape, namely an axisymmetric phoretic torus. The analytical solution takes the form of an infinite series solution, which we validate against boundary element computations. For a torus of uniform chemical activity, confinement effects in the hole allow the torus to act as a pump, which we optimize subject to fixed particle surface area. Under the same constraint, we next characterize the fastest swimming Janus torus for a variety of assumptions on the surface chemistry. Perhaps surprisingly, none of the optimal tori occur in the limit where the central hole vanishes.
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