Is the Abrikosov model applicable for describing electronic vortices in plasmas? |
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Authors: | A V Gordeev S V Levchenko |
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Institution: | (1) Kurchatov Institute Russian Science Center, 123182 Moscow, Russia |
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Abstract: | A new model of electronic vortices in plasma is studied. The model assumes that the profile of the Lagrangian invariant I, equal to the ratio I=Ω/n of the electronic vorticity to the electron density, is given. The proposed approach takes into account the magnetic Debye
scale r
B
≃B/4πen, which leads to breakdown of plasma quasineutrality. It is shown that the Abrikosov singular model cannot be used to describe
electron vortices in plasmas because of the fundamental limitation on the electron vorticity on the axis of a vortex in a
plasma. Analysis of the equations shows that in the model considered for the electronic vorticity, the total magnetic flux
decreases when the size r
0 of the region in which I≠0 becomes less than c/ωpe (ωpe is the electron plasma frequency). For ω
pe
r
0/c≪1, an electronic vortex is formed in which the magnetic flux decreases as r
0
2
and the inertial component predominates in the electronic vorticity. The structure arising as ω
pe
r
0/c⇒0 is a narrow “hole” in the electron density, which can be identified from the spectrum of electromagnetic waves in this
region.
Pis’ma Zh. éksp. Teor. Fiz. 67, No. 7, 461–466 (10 April 1998) |
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Keywords: | |
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