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Article Dans Une Revue Journal of Mathematical Physics Année : 2007

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

Résumé

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.

Dates et versions

hal-00263952 , version 1 (13-03-2008)

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J. Asch, P. Stovicek. Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux. Journal of Mathematical Physics, 2007, 48 (5), pp.052901. ⟨hal-00263952⟩
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