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Title: Magnetic-field effects on nonlinear electrostatic-wave Landau damping

Abstract

A numerical code, which solves the Vlasov-Poisson system of equations for an electron magnetized plasma with motionless ions, is presented. The numerical integration of the Vlasov equation has been performed using the 'splitting method' and the cylindric geometry in the velocity space is used to describe the motion of the particles around the external field. The time evolution of an electrostatic wave, propagating perpendicularly to the background magnetic field, is numerically studied in both the linear and nonlinear regimes, for different values of the ratio {gamma} between the electron oscillation time in a sinusoidal potential well and the electron cyclotron period. It is shown that the external magnetic field plays very different roles, depending on the values of the initial wave amplitude. When the initial amplitude is less than some threshold, the magnetic field prevents the Landau damping of the electrostatic wave (Bernstein-Landau paradox). When the wave amplitude is above the threshold, for intermediate values of {gamma} the presence of a background magnetic field allows for the electric energy dissipation at variance with the behavior of electrostatic wave in unmagnetized plasma, while for high {gamma} values once again the magnetic field prevents the damping.

Authors:
; ;  [1]
  1. Universita della Calabria, Dipartimento di Fisica and Istituto Nazionale di Fisica della Materia, Unita di Cosenza, I-87030 Arcavacata di Rende (Italy)
Publication Date:
OSTI Identifier:
20641351
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 71; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevE.71.016402; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; BOLTZMANN-VLASOV EQUATION; CYCLOTRONS; ELECTRONS; ENERGY LOSSES; GEOMETRY; IONS; LANDAU DAMPING; MAGNETIC FIELDS; MATHEMATICAL EVOLUTION; MATHEMATICAL SPACE; NONLINEAR PROBLEMS; OSCILLATIONS; PLASMA; PLASMA WAVES; POTENTIALS; VELOCITY

Citation Formats

Valentini, F, Veltri, P, Mangeney, A, and LESIA, Observatoire de Paris, Section de Meudon 5, place Jules Janssen, 92195 Meudon Cedex. Magnetic-field effects on nonlinear electrostatic-wave Landau damping. United States: N. p., 2005. Web. doi:10.1103/PhysRevE.71.016402.
Valentini, F, Veltri, P, Mangeney, A, & LESIA, Observatoire de Paris, Section de Meudon 5, place Jules Janssen, 92195 Meudon Cedex. Magnetic-field effects on nonlinear electrostatic-wave Landau damping. United States. https://doi.org/10.1103/PhysRevE.71.016402
Valentini, F, Veltri, P, Mangeney, A, and LESIA, Observatoire de Paris, Section de Meudon 5, place Jules Janssen, 92195 Meudon Cedex. 2005. "Magnetic-field effects on nonlinear electrostatic-wave Landau damping". United States. https://doi.org/10.1103/PhysRevE.71.016402.
@article{osti_20641351,
title = {Magnetic-field effects on nonlinear electrostatic-wave Landau damping},
author = {Valentini, F and Veltri, P and Mangeney, A and LESIA, Observatoire de Paris, Section de Meudon 5, place Jules Janssen, 92195 Meudon Cedex},
abstractNote = {A numerical code, which solves the Vlasov-Poisson system of equations for an electron magnetized plasma with motionless ions, is presented. The numerical integration of the Vlasov equation has been performed using the 'splitting method' and the cylindric geometry in the velocity space is used to describe the motion of the particles around the external field. The time evolution of an electrostatic wave, propagating perpendicularly to the background magnetic field, is numerically studied in both the linear and nonlinear regimes, for different values of the ratio {gamma} between the electron oscillation time in a sinusoidal potential well and the electron cyclotron period. It is shown that the external magnetic field plays very different roles, depending on the values of the initial wave amplitude. When the initial amplitude is less than some threshold, the magnetic field prevents the Landau damping of the electrostatic wave (Bernstein-Landau paradox). When the wave amplitude is above the threshold, for intermediate values of {gamma} the presence of a background magnetic field allows for the electric energy dissipation at variance with the behavior of electrostatic wave in unmagnetized plasma, while for high {gamma} values once again the magnetic field prevents the damping.},
doi = {10.1103/PhysRevE.71.016402},
url = {https://www.osti.gov/biblio/20641351}, journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = 1,
volume = 71,
place = {United States},
year = {Sat Jan 01 00:00:00 EST 2005},
month = {Sat Jan 01 00:00:00 EST 2005}
}