title: Self-consistent Lagrangian study of nonlinear Landau damping.
abstract: The electric field computed by numerically solving the one-dimensional Vlasov-Poisson system is used to calculate Lagrangian trajectories of particles in the wave-particle resonance region. The analysis of these trajectories shows that, when the initial amplitude of the electric field is above some threshold, two populations of particles are present: a first one located near the separatrix, which performs flights in the phase space and whose trajectories become ergodic and chaotic, and a second population of trapped particles, which displays a nonergodic dynamics. The complex, nonlinear interaction between these populations determines the oscillating long-time behavior of solutions.
authors.affiliation: Dipartimento di Fisica, Istituto Nazionale di Fisica della Materia, Unità di Cosenza, Università della Calabria, I-87030 Arcavacata di Rende, Italy.
authors.forename: Francesco
authors.initials: F
authors.lastname: Valentini
authors.forename: Vincenzo
authors.initials: V
authors.lastname: Carbone
authors.forename: Pierluigi
authors.initials: P
authors.lastname: Veltri
authors.forename: André
authors.initials: A
authors.lastname: Mangeney