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Self-consistent chaos and Arnold diffusion in a cyclotron-maser wave-particle system
Phys. Rev. E 52, 4793 – Published 1 November, 1995
DOI: https://doi.org/10.1103/PhysRevE.52.4793
Abstract
In this work, we search for the presence of chaos in a self-consistent model for the cyclotron-resonance maser accelerator. Two characteristic regimes are identified. If the initial action variable of the accelerating particles is small, rapid phase bunching occurs and the particle population is condensed into a single macroparticle in phase space. As a result, this low-dimensional state is predominantly regular. For larger energies, on the other hand, there is no macroparticle formation. The system is high dimensional, and chaos is found. Arnold diffusion appears to occur in these chaotic states.
References (14)
- P. Sprangle, L. Vlahos and C.M. Tang, IEEE Trans. Nucl. Sci. NS 30, 3177 (1983).
- C.S. Roberts and S.J. Buchsbaum, Phys. Rev. 135, 381 (1964).
- S.P. Kuo and G. Schmidt, J. Appl. Phys. 58, 3646 (1985).
- R. Shpitalnik, C. Cohen, F. Dothan and L. Friedland, J. Appl. Phys. 70, 1101 (1991).
- C. Wang and J.L. Hirshfield, Phys. Rev. E 51, 2456 (1995).
- C. Chen, Phys. Rev. A 46, 6654 (1992).
- R. Pakter, R. Schneider and F.B. Rizzato, Phys. Rev. E 47, 3787 (1993); ibid. 49, 1594 (1994).
- A.J. Lichtenberg and M.A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983).
- R. Pakter, G. Corso, T.S. Caetano, D. Dillenburg and F.B. Rizzato, Phys. Plasmas 1, 4099 (1994).
- A.C. L. Chian and C.F. Kennel, Astrophys. Space Sci. 97, 9 (1983).
- A.H. Boozer, Phys. Lett. A 185, 423 (1994).
- B. Hafizi, P. Sprangle and J.L. Hirshfield, Phys. Rev. E 50, 3077 (1994).
- A. Wolf, J.B. Swift, H.L. Swinney and J. Vastano, Physica D 16, 285 (1985).
- G. Corso and F.B. Rizzato, Physica D 80, 296 (1995). %