论文标题
开尔文勋爵的各向同性螺旋可
Lord Kelvin's isotropic helicoid
论文作者
论文摘要
大约150年前，开尔文勋爵提出了各向同性螺旋体，这是一种与流体的各向同性但手性相互作用的粒子，因此翻译伴侣伴侣旋转。在实验上发现他的设计的设计实现，但没有可检测到的翻译复整耦合，尽管粒子点组对称性允许这种耦合。我们通过证明在Stokes流中解释了这些结果，这种各向同性螺旋型的手性偶联仅是由于这些叶片之间的流体动力相互作用而造成的。因此它很小。总而言之，开尔文的各向同性螺旋可存在，但仅是斯托克斯流动中非相互作用叶片对称性的微弱破裂。
Nearly 150 years ago, Lord Kelvin proposed the isotropic helicoid, a particle with isotropic yet chiral interactions with a fluid, so that translation couples to rotation. An implementation of his design fabricated with a three-dimensional printer is found experimentally to have no detectable translation-rotation coupling, although the particle point-group symmetry allows this coupling. We explain these results by demonstrating that in Stokes flow, the chiral coupling of such isotropic helicoids made out of non-chiral vanes is due only to hydrodynamic interactions between these vanes. Therefore it is small. In summary, Kelvin's predicted isotropic helicoid exists, but only as a weak breaking of a symmetry of non-interacting vanes in Stokes flow.
