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| Titel |
BGK electron solitary waves: 1D and 3D |
| VerfasserIn |
L.-J. Chen, G. K. Parks |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 9, no. 2 ; Nr. 9, no. 2, S.111-119 |
| Datensatznummer |
250006692
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| Publikation (Nr.) |
 copernicus.org/npg-9-111-2002.pdf |
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| Zusammenfassung |
| This paper presents
new results for 1D BGK electron solitary wave (phase-space electron hole)
solutions and, based on the new results, extends the solutions to include
the 3D electrical interaction (E ~ 1/r 2) of charged particles.
Our approach for extending to 3D is to solve the nonlinear 3D Poisson and
1D Vlasov equations based on a key feature of 1D electron hole (EH)
solutions; the positive core of an EH is screened by electrons trapped
inside the potential energy trough. This feature has not been considered
in previous studies. We illustrate this key feature using an analytical
model and argue that the feature is independent of any specific model. We
then construct azimuthally symmetric EH solutions under conditions where
electrons are highly field-aligned and ions form a uniform background
along the magnetic field. Our results indicate that, for a single humped
electric potential, the parallel cut of the perpendicular component of the
electric field (E⊥) is unipolar and that of the
parallel component (E||) bipolar, reproducing the
multi-dimensional features of the solitary waves observed by the FAST
satellite. Our analytical solutions presented in this article capture the
3D electric interaction and the observed features of (E|| )
and E⊥. The solutions predict a dependence of the
parallel width-amplitude relation on the perpendicular size of EHs. This
dependence can be used in conjunction with experimental data to yield an
estimate of the typical perpendicular size of observed EHs; this provides
important information on the perpendicular span of the source region as
well as on how much electrostatic energy is transported by the solitary
waves. |
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