Mv. Berry et Ec. Sinclair, GEOMETRIC MAGNETISM IN MASSIVE CHAOTIC BILLIARDS, Journal of physics. A, mathematical and general, 30(8), 1997, pp. 2853-2861
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.