Dynamics of a classical Hall system driven by a time-dependent Aharonov-Bohm flux
Result description
We study the dynamics of classical particles 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 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 which drifts outward and orthogonal to the electric field. The outgoing drift is diffusive and without energy loss.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Dynamics of a classical Hall system driven by a time-dependent Aharonov-Bohm flux
Original language description
We study the dynamics of classical particles 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 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 which drifts outward and orthogonal to the electric field. The outgoing drift is diffusive and without energy loss.
Czech name
Není k dispozici
Czech description
Není k dispozici
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/05/0857: Application of algebraical and functional analytical methods in mathematical physics
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Physics
ISSN
0022-2488
e-ISSN
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Volume of the periodical
48
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
"052901-1"-"052901-14"
UT code for WoS article
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EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2007