| Full text | |
| Author(s): |
de Sousa, M. C.
[1]
;
Caldas, I. L.
[1]
;
Ozorio de Almeida, A. M.
[2]
;
Rizzato, F. B.
[3]
;
Pakter, R.
[3]
Total Authors: 5
|
| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo - Brazil
[2] Ctr Brasileiro Pesquisas Fis, Rio De Janeiro - Brazil
[3] Univ Fed Rio Grande do Sul, Inst Fis, Porto Alegre, RS - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 88, n. 6 DEC 31 2013. |
| Web of Science Citations: | 5 |
| Abstract | |
We analyze the dynamics of a relativistic particle moving in a uniform magnetic field and perturbed by a standing electrostatic wave. We show that a pulsed wave produces an infinite number of perturbative terms with the same winding number, which may generate islands in the same region of phase space. As a consequence, the number of isochronous island chains varies as a function of the wave parameters. We observe that in all the resonances, the number of chains is related to the amplitude of the various resonant terms. We determine analytically the position of the periodic points and the number of island chains as a function of the wave number and wave period. Such information is very important when one is concerned with regular particle acceleration, since it is necessary to adjust the initial conditions of the particle to obtain the maximum acceleration. (AU) | |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 11/20794-6 - Chaos in magnetized relativistic systems: regular acceleration and control of chaos |
| Grantee: | Meirielen Caetano de Sousa |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |