Optimal rotations of deformable bodies and orbits in magnetic fields
Classical Physics
2009-11-10 v2 Mathematical Physics
math.MP
General Physics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0308050,
title = {Optimal rotations of deformable bodies and orbits in magnetic fields},
author = {J. E. Avron and O. Gat and O. Kenneth and U. Sivan},
journal= {arXiv preprint arXiv:physics/0308050},
year = {2009}
}
Comments
4 pages revtex, 4 figures + animation in multiframe GIF format