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

Summary: Dynamics of a classical Hall system driven
by a time-dependent Aharonov-Bohm flux
J. Ascha
CPT-CNRS, Luminy Case 907, F-13288 Marseille Cedex 9, France
P. Sovícek
Department of Mathematics, Faculty of Nuclear Science, Czech Technical University,
Trojanova 13, 120 00 Prague, Czech Republic
Received 4 September 2006; accepted 16 March 2007; published online 10 May 2007
We study the dynamics of a classical particle moving in a punctured plane under
the influence of a homogeneous magnetic field, an electric background, and driven
by a time-dependent singular flux tube through the hole. We exhibit a striking
de localization effect: when the electric background is absent we prove that a
linearly time-dependent flux tube opposite to the homogeneous flux eventually
leads to the usual classical Hall motion: the particle follows a cycloid whose center
is drifting orthogonal to the electric field; if the fluxes are additive, the drifting
center eventually gets pinned by the flux tube whereas the kinetic energy is grow-
ing with the additional flux. © 2007 American Institute of Physics.
DOI: 10.1063/1.2723550
I. INTRODUCTION
The motivation to study the dynamics of this classical system is to sharpen our intuition on its

  

Source: Asch, Joachim - Centre De Physique Theorique, Campus de Luminy, Case 907

 

Collections: Mathematics