磁场中变形体和轨道的最优转动
Optimal rotations of deformable bodies and orbits in magnetic fields
摘要:
变形可以引起角动量为零的旋转,其中耗散是一个自然的"成本函数“。这就产生了一个优化问题,找到最有效的旋转与零角动量。对于某些二维塑性和粘性介质,最佳路径是带电粒子在恒定负曲率表面上的轨道,其总通量为半个量子单位的磁场。
英文摘要:
Deformations can induce rotation with zero angular momentum where dissipation is a natural ``cost function''. This gives rise to an optimization problem of finding the most effective rotation with zero angular momentum. For certain plastic and viscous media in two dimensions the optimal path is the orbit of a charged particle on a surface of constant negative curvature with magnetic field whose total flux is half a quantum unit.
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