No many-scallop theorem: Collective locomotion of reciprocal swimmers
No many-scallop theorem: Collective locomotion of reciprocal swimmers
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DOI：
10.1103/physreve.78.030901
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发表时间：
2008-09-01
影响因子：
2.4
通讯作者：
Bartolo, Denis
中科院分区：
文献类型：
--
作者：
Lauga, Eric;Bartolo, Denis
为了在低雷诺数下获得推进力，游泳者必须以一种在时间反演对称下不恒定的方式变形;这个结果被称为扇贝定理。然而，没有多扇贝定理。我们在这里证明，两个活性粒子进行相互变形可以游泳集体，此外，极性粒子也经历有效的长程相互作用。这些结果来自一个最小的二聚体模型，并推广到更复杂的几何形状的对称性和缩放参数的基础上。我们解释了如何合作运动可以实现实验通过摇动一个均匀的外场收集软粒子。
To achieve propulsion at low Reynolds number, a swimmer must deform in a way that is not invariant under time-reversal symmetry; this result is known as the scallop theorem. However, there is no many-scallop theorem. We demonstrate here that two active particles undergoing reciprocal deformations can swim collectively; moreover, polar particles also experience effective long-range interactions. These results are derived for a minimal dimers model, and generalized to more complex geometries on the basis of symmetry and scaling arguments. We explain how such cooperative locomotion can be realized experimentally by shaking a collection of soft particles with a homogeneous external field.