Quasi-linear dynamics of Weibel instability

The quasi-linear dynamics of resonant Weibel mode is discussed. It is found that nonlinear saturation of Weibel mode is accompanied by substantial modification of the distribution function in resonant region. With the growth of the wave amplitude the parabolic bell-like form of the electron distr...

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Main Authors: O. A. Pokhotelov, O. A. Amariutei
Format: Article
Language:English
Published: Copernicus Publications 2011-11-01
Series:Annales Geophysicae
Online Access:https://www.ann-geophys.net/29/1997/2011/angeo-29-1997-2011.pdf
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author O. A. Pokhotelov
O. A. Amariutei
author_facet O. A. Pokhotelov
O. A. Amariutei
author_sort O. A. Pokhotelov
collection DOAJ
description The quasi-linear dynamics of resonant Weibel mode is discussed. It is found that nonlinear saturation of Weibel mode is accompanied by substantial modification of the distribution function in resonant region. With the growth of the wave amplitude the parabolic bell-like form of the electron distribution function in this region converts into flatter shape, such as parabola of the fourth order. This results in significant weakening of the resonant interaction of the wave with particles. The latter becomes weaker and then becomes adiabatic interaction with the bulk of the plasma. This is similar to the case of Bernstein-Greene-Kruskal (Bernstein et al., 1957) electrostatic waves. The mathematical similarity of the Weibel and magnetic mirror instabilities is discussed.
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spelling doaj.art-2dc52d14e0314772b3f40d2628490c0b2022-12-21T18:42:23ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762011-11-01291997200110.5194/angeo-29-1997-2011Quasi-linear dynamics of Weibel instabilityO. A. Pokhotelov0O. A. Amariutei1Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UKFinnish Meteorological Institute, Geophysical Research Division P.O. Box 503 00101 Helsinki, FinlandThe quasi-linear dynamics of resonant Weibel mode is discussed. It is found that nonlinear saturation of Weibel mode is accompanied by substantial modification of the distribution function in resonant region. With the growth of the wave amplitude the parabolic bell-like form of the electron distribution function in this region converts into flatter shape, such as parabola of the fourth order. This results in significant weakening of the resonant interaction of the wave with particles. The latter becomes weaker and then becomes adiabatic interaction with the bulk of the plasma. This is similar to the case of Bernstein-Greene-Kruskal (Bernstein et al., 1957) electrostatic waves. The mathematical similarity of the Weibel and magnetic mirror instabilities is discussed.https://www.ann-geophys.net/29/1997/2011/angeo-29-1997-2011.pdf
spellingShingle O. A. Pokhotelov
O. A. Amariutei
Quasi-linear dynamics of Weibel instability
Annales Geophysicae
title Quasi-linear dynamics of Weibel instability
title_full Quasi-linear dynamics of Weibel instability
title_fullStr Quasi-linear dynamics of Weibel instability
title_full_unstemmed Quasi-linear dynamics of Weibel instability
title_short Quasi-linear dynamics of Weibel instability
title_sort quasi linear dynamics of weibel instability
url https://www.ann-geophys.net/29/1997/2011/angeo-29-1997-2011.pdf
work_keys_str_mv AT oapokhotelov quasilineardynamicsofweibelinstability
AT oaamariutei quasilineardynamicsofweibelinstability