Resonant cyclotron acceleration of particles by a time periodic singular flux tube

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21240/11:00180755

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Resonant cyclotron acceleration of particles by a time periodic singular flux tube

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Resonant cyclotron acceleration of particles by a time periodic singular flux tube

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

SIAM JOURNAL ON APPLIED MATHEMATICS

ISSN

0036-1399

e-ISSN

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Svazek periodika

71

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

25

Strana od-do

829-853

Kód UT WoS článku

000291870200010

EID výsledku v databázi Scopus

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