Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux

Details Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux

2006-09-13

arxiv.org/abs/math-ph/0609039v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.2723550

We study the dynamics of a classical particle moving in a punctured plane under the influence of a strong homogeneous magnetic field, an electrical background, and driven by a time-dependent singular flux tube through the hole. We exhibit a striking classical (de)localization effect: in the far past the trajectories are spirals around a bound center; the particle moves inward towards the flux tube loosing kinetic energy. After hitting the puncture it becomes ``conducting'': the motion is a cycloid around a center whose drift is outgoing, orthogonal to the electric field, diffusive, and without energy loss.

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