Relativistic acceleration of Landau resonant particles as a consequence of Hopf bifurcations

Details Relativistic acceleration of Landau resonant particles as a consequence of Hopf bifurcations Relativistic acceleration of Landau resonant particles as a consequence of Hopf bifurcations

2011-04-25

arxiv.org/abs/1104.4760v2

Physics

Plasma Physics

5 pages, 6 figures. The manuscript as been accepted for publication in Physics of Plasmas

Scientific paper

10.1063/1.3692234

Using bifurcation theory on a dynamical system simulating the interaction of a particle with an obliquely propagating wave in relativistic regimes, we demonstrate that uniform acceleration arises as a consequence of Hopf bifurcations of Landau resonant particles. The acceleration process arises as a form of surfatron established through the locking in pitch angle, gyrophase, and physical trapping along the wave-vector direction. Integrating the dynamical system for large amplitudes ($\delta B/B_0\sim0.1$) obliquely propagating waves, we find that electrons with initial energies in the keV range can be accelerated to MeV energies on timescales of the order of milliseconds. The Hopf condition of Landau resonant particles could underlie some of the most efficient energization of particles in space and astrophysical plasmas.

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