The electric field computed by numerically solving the one-dimensional Vlasov-Poisson system is used tocalculate Lagrangian trajectories of particles in the wave-particle resonance region. The analysis of thesetrajectories shows that, when the initial amplitude of the electric field is above some threshold, two populationsof particles are present: a first one located near the separatrix, which performs flights in the phase space andwhose trajectories become ergodic and chaotic, and a second population of trapped particles, which displays anonergodic dynamics. The complex, nonlinear interaction between these populations determines the oscillatinglong-time behavior of solutions.
Self-consistent Lagrangian study of nonlinear Landau damping
VALENTINI, Francesco;CARBONE, Vincenzo;VELTRI, Pierluigi;
2005-01-01
Abstract
The electric field computed by numerically solving the one-dimensional Vlasov-Poisson system is used tocalculate Lagrangian trajectories of particles in the wave-particle resonance region. The analysis of thesetrajectories shows that, when the initial amplitude of the electric field is above some threshold, two populationsof particles are present: a first one located near the separatrix, which performs flights in the phase space andwhose trajectories become ergodic and chaotic, and a second population of trapped particles, which displays anonergodic dynamics. The complex, nonlinear interaction between these populations determines the oscillatinglong-time behavior of solutions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
