GEOMETRIC MAGNETISM IN MASSIVE CHAOTIC BILLIARDS

Citation
Mv. Berry et Ec. Sinclair, GEOMETRIC MAGNETISM IN MASSIVE CHAOTIC BILLIARDS, Journal of physics. A, mathematical and general, 30(8), 1997, pp. 2853-2861
Citations number
26
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
30
Issue
8
Year of publication
1997
Pages
2853 - 2861
Database
ISI
SICI code
0305-4470(1997)30:8<2853:GMIMCB>2.0.ZU;2-C
Abstract
Geometric magnetism is a post adiabatic reaction force exerted by a fa st system on a slow system coupled to it. Here it is demonstrated anal ytically and numerically that a heavy (slow) uncharged billiard bounda ry, partial derivative D, swerves, on the average, because of geometri c magnetism exerted through elastic impacts from a light (fast) charge d particle moving inside partial derivative D in a magnetic field, for both regular and chaotic fast motions.