Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0609039,
title = {Dynamics of a classical Hall system driven by a time-dependent Aharonov--Bohm flux},
author = {J. Asch and P. Stovicek},
journal= {arXiv preprint arXiv:math-ph/0609039},
year = {2009}
}