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Dynamic self-assembly of magnetized, millimetre-sized objects rotating at a liquid-air interface

机译：动态自组装的磁化毫米级物体在液-气界面旋转

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Spontaneous pattern formation by self-assembly is of long-standing and continuing interest not only for its aesthetic appeal, but also for its fundamental and technological relevance. So far, the study of self-organization processes has mainly focused on static structures, but dynamic systems—those that develop order only when dissipating energy—are of particular interest for studying complex behaviour. Here we describe the formation of dynamic patterns of millimetre-sized magnetic disks at a liquid-air interface, subject to a magnetic field produced by a rotating permanent magnet. The disks spin around their axes with angular frequency equal to that of the magnet, and are attracted towards its axis of rotation while repelling each other. This repulsive hydrodynamic interaction is due to fluid motion associated with spinning; the interplay between attractive and repulsive interactions leads to the formation of patterns exhibiting various types of ordering, some of which are entirely new. This versatile system should lead to a better understanding of dynamic self-assembly, while providing a test-bed for stability theories of interacting point vortices and vortex patches.
机译：通过自组装形成自发的图案不仅具有美学吸引力，而且还具有基本的技术意义，因此长期以来一直受到关注。到目前为止，对自组织过程的研究主要集中在静态结构上，但是动态系统（那些仅在耗散能量时才发展有序的系统）对于研究复杂行为特别感兴趣。在这里，我们描述了液-气界面处毫米大小磁盘的动态模式的形成，该模式受旋转的永磁体产生的磁场的影响。圆盘以等于磁体的角频率绕其轴旋转，并且在彼此排斥的同时被吸引到其旋转轴。这种排斥性的流体动力相互作用是由于与纺丝有关的流体运动引起的。吸引性和排斥性相互作用之间的相互作用导致形成表现出各种类型排序的模式，其中有些是全新的。这种多功能的系统应导致对动态自组装有更好的了解，同时为相互作用点涡和涡斑的稳定性理论提供测试平台。

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