Resonant cyclotron acceleration of particles by a time periodic singular flux tube
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00180755" target="_blank" >RIV/68407700:21340/11:00180755 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/11:00180755
Result on the web
<a href="http://link.aip.org/link/?SMM/71/829" target="_blank" >http://link.aip.org/link/?SMM/71/829</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/100809337" target="_blank" >10.1137/100809337</a>
Alternative languages
Result language
angličtina
Original language name
Resonant cyclotron acceleration of particles by a time periodic singular flux tube
Original language description
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a uniform magnetic field and driven by a periodically time-dependent singular flux tube through the hole. We observe an effect of resonance of the flux and cyclotron frequencies. The particle is accelerated to arbitrarily high energies even by a flux of small field strength which is not necessarily encircled by the cyclotron orbit; the cyclotron orbits blow up and the particle oscillates between the hole and infinity. We deal with an approximation for small amplitudes of the flux which is obtained with the aid of averaging methods. We derive asymptotic formulas that are afterwards shown to represent a good description of the accelerated motion even for fluxes which are not necessarily small. We argue that the leading asymptotic terms may be regarded as approximate solutions of the original system in the asymptotic domain as the time tends to infinity.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN
0036-1399
e-ISSN
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Volume of the periodical
71
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
829-853
UT code for WoS article
000291870200010
EID of the result in the Scopus database
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