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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Format: | Article |
Language: | English |
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Copernicus Publications
2011-11-01
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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. |
first_indexed | 2024-12-22T02:10:57Z |
format | Article |
id | doaj.art-2dc52d14e0314772b3f40d2628490c0b |
institution | Directory Open Access Journal |
issn | 0992-7689 1432-0576 |
language | English |
last_indexed | 2024-12-22T02:10:57Z |
publishDate | 2011-11-01 |
publisher | Copernicus Publications |
record_format | Article |
series | Annales Geophysicae |
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 |