自泳滑移速度：用表面通量表示的自泳胶体的旋转和平移速度
Bypassing slip velocity: rotational and translational velocities of autophoretic colloids in terms of surface flux
摘要：
具有薄相互作用层的自泳胶体的推进速度的标准方法使用应用于滑移速度的互易关系。但表面通量（化学、电、热等），这是驱动滑移的场的来源，通常更容易接近。我们展示了如何，在低雷诺数和遵守拉普拉斯方程在外部区域的字段的条件下，滑移速度可以绕过速度计算。在某种意义上，实际滑移速度和与磁通密度成比例的法向场对于这种计算是等效的。使用已知的结果旋转或平移的惰性粒子在静止的流体中引起的表面牵引，我们推导出简单而明确的积分公式的任意球形和细长体自泳胶体的平移和旋转速度。
英文摘要：
A standard approach to propulsion velocities of autophoretic colloids with thin interaction layers uses a reciprocity relation applied to the slip velocity. But the surface flux (chemical, electrical, thermal, etc.), which is the source of the field driving the slip is often more accessible. We show how, under conditions of low Reynolds number and a field obeying the Laplace equation in the outer region, the slip velocity can be bypassed in velocity calculations. In a sense, the actual slip velocity and a normal field proportional to the flux density are equivalent for this type of calculation. Using known results for surface traction induced by rotating or translating an inert particle in a quiescent fluid, we derive simple and explicit integral formulas for translational and rotational velocities of arbitrary spheroidal and slender-body autophoretic colloids.
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