Self-consistent Lagrangian study of nonlinear Landau damping

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.71.017402· OSTI ID:20641371

Valentini, Francesco; Carbone, Vincenzo; Veltri, Pierluigi; Mangeney, Andre ^[1]

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1. Dipartimento di Fisica and Istituto Nazionale di Fisica della Materia, Unita di Cosenza, Universita della Calabria, I-87030 Arcavacata di Rende (Italy)

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.

• OSTI ID: 20641371
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 71; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
CHAOS THEORY
ELECTRIC FIELDS
LAGRANGIAN FUNCTION
LANDAU DAMPING
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PHASE SPACE
POISSON EQUATION
POPULATIONS
RESONANCE
TRAJECTORIES
TRAPPING