Optimal rotations of deformable bodies and orbits in magnetic fields

Details Optimal rotations of deformable bodies and orbits in magnetic fields Optimal rotations of deformable bodies and orbits in magnetic fields

2003-08-13

arxiv.org/abs/physics/0308050v2

Physics

Classical Physics

4 pages revtex, 4 figures + animation in multiframe GIF format

Scientific paper

10.1103/PhysRevLett.92.040201

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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