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American Physical Society, Physical review E: Statistical, nonlinear, and soft matter physics, 1(71), 2005

DOI: 10.1103/physreve.71.017402

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Self-consistent Lagrangian study of nonlinear Landau damping

This paper is available in a repository.
This paper is available in a repository.

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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.