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Counter differential rigid-rotation equilibrium of electrically non-neutral two-fluid plasma with finite pressure

Published online by Cambridge University Press:  31 August 2021

Y. Nakajima Open the ORCID record for Y. Nakajima [Opens in a new window] ,
H. Himura Open the ORCID record for H. Himura [Opens in a new window]  and
A. Sanpei
Y. Nakajima*
Affiliation:
Department of Electronics, Kyoto Institute of Technology, Matsugasaki, Sakyo Ward, Kyoto 606-8585, Japan
H. Himura*
Affiliation:
Department of Electronics, Kyoto Institute of Technology, Matsugasaki, Sakyo Ward, Kyoto 606-8585, Japan
A. Sanpei
Affiliation:
Department of Electronics, Kyoto Institute of Technology, Matsugasaki, Sakyo Ward, Kyoto 606-8585, Japan
*
†Email addresses for correspondence: m0621027@edu.kit.ac.jp, himura@kit.ac.jp
†Email addresses for correspondence: m0621027@edu.kit.ac.jp, himura@kit.ac.jp
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Abstract

We derive the two-dimensional counter-differential rotation equilibria of two-component plasmas, composed of both ion and electron ($e^-$) clouds with finite temperatures, for the first time. In the equilibrium found in this study, as the density of the $e^{-}$ cloud is always larger than that of the ion cloud, the entire system is a type of non-neutral plasma. Consequently, a bell-shaped negative potential well is formed in the two-component plasma. The self-electric field is also non-uniform along the $r$-axis. Moreover, the radii of the ion and $e^{-}$ plasmas are different. Nonetheless, the pure ion as well as $e^{-}$ plasmas exhibit corresponding rigid rotations around the plasma axis with different fluid velocities, as in a two-fluid plasma. Furthermore, the $e^{-}$ plasma rotates in the same direction as that of $\boldsymbol {E \times B}$, whereas the ion plasma counter-rotates overall. This counter-rotation is attributed to the contribution of the diamagnetic drift of the ion plasma because of its finite pressure.

Keywords

strongly coupled plasmasplasma dynamicsplasma confinement
Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 4 , August 2021 , 905870415
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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