Optimal Rotations of Deformable Bodies and Orbits in Magnetic Fields

J. E. Avron*, O. Gat, O. Kenneth, U. Sivan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The optimal rotations of deformable bodies and orbits in magnetic fields were studied. The fundamental relation between the response (rotation) and the controls (deformation) was derived. It was found that deformations could induce rotation with zero angular momentum where dissipation was a natural cost function. It was also found that for certain plastic and viscous media in two different dimensions, the optimal path is the orbit of a charged particle on a surface of constant negative curvature with a magnetic field whose total flux is half a quantum unit.

Original languageAmerican English
Article number040201
Pages (from-to)402011-402014
Number of pages4
JournalPhysical Review Letters
Issue number4
StatePublished - 30 Jan 2004
Externally publishedYes


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