Standard map in magnetized relativistic systems: fixed points and regular acceleration
Accelerator Physics
2010-10-28 v1 Chaotic Dynamics
Plasma Physics
Abstract
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.
Cite
@article{arxiv.1007.5360,
title = {Standard map in magnetized relativistic systems: fixed points and regular acceleration},
author = {M. C. de Sousa and F. M. Steffens and R. Pakter and F. B. Rizzato},
journal= {arXiv preprint arXiv:1007.5360},
year = {2010}
}
Comments
Work to appear in Phys. Rev. E. 2 figures