Standard map in magnetized relativistic systems: fixed points and regular acceleration

Details Standard map in magnetized relativistic systems: fixed points and regular acceleration Standard map in magnetized relativistic systems: fixed points and regular acceleration

2010-07-30

arxiv.org/abs/1007.5360v1

Phys.Rev.E82:026402,2010

Physics

Accelerator Physics

Work to appear in Phys. Rev. E. 2 figures

Scientific paper

10.1103/PhysRevE.82.026402

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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