Standard map in magnetized relativistic systems: fixed points and regular acceleration
We investigate the concept of a standard map for the interaction of relativistic particles and electrostatic waves of arbitrary amplitudes, under the action of external magnetic fields. The map is adequate for physical settings where waves and particles interact impulsively, and allows for a series...
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Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 82; no. 2 Pt 2; p. 026402 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
United States
01.08.2010
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Online Access | Get more information |
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Summary: | We investigate the concept of a standard map for the interaction of relativistic particles and electrostatic waves of arbitrary amplitudes, under the action of external magnetic fields. The map is adequate for physical settings where waves and particles interact impulsively, and allows for a series of analytical result to be exactly obtained. Unlike the traditional form of the standard map, the present map is nonlinear in the wave amplitude and displays a series of peculiar properties. Among these properties we discuss the relation involving fixed points of the maps and accelerator regimes. |
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ISSN: | 1550-2376 |
DOI: | 10.1103/PhysRevE.82.026402 |