Phase Space Flights in Nonlinear Landau Damping

Details Phase Space Flights in Nonlinear Landau Damping Phase Space Flights in Nonlinear Landau Damping

Apr 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aipc..703...84v&link_type=abstract

PLASMAS IN THE LABORATORY AND IN THE UNIVERSE: New Insights and New Challenges. AIP Conference Proceedings, Volume 703, pp. 84-

Other

Nonlinear Phenomena: Waves, Wave Propagation, And Other Interactions, Particle Orbit And Trajectory, Fokker-Planck And Vlasov Equation

Scientific paper

The self-consistent electric field, evaluated by solving numerically the Vlasov-Poisson system of equations, is used to study the equations of motion of a great number of test particles, in the wave particle resonant region. The analysis of the particle trajectories show that when the initial amplitude of the electric field is above a critical value, the dynamics become chaotic at the border of the resonant region and particles near the separatrix perform flights in the phase space. An accurate statistical analysis of the spatial and temporal duration of these flights, shows that they are not long enough to allow dissipation to go on, but their characteristic length determines the undamped, oscillating long time behavior of solutions.

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