Numerical studies on electron magnetohydrodynamics tearing mode instability
The 2D electron-magnetohydrodynamics (EMHD) dominant tearing mode in an electron-skin-depth-scale current sheet (ECS) is further studied. The resistive diffusion is proved to be insignificant at the scale. Electron inertia leads to the expansion of the “inner region” as well as a wider saturation is...
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2021
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oai:doaj.org-article:aa3d686a59d74fd185d9285755dbf0332021-12-01T18:52:06ZNumerical studies on electron magnetohydrodynamics tearing mode instability2158-322610.1063/5.0066269https://doaj.org/article/aa3d686a59d74fd185d9285755dbf0332021-11-01T00:00:00Zhttp://dx.doi.org/10.1063/5.0066269https://doaj.org/toc/2158-3226The 2D electron-magnetohydrodynamics (EMHD) dominant tearing mode in an electron-skin-depth-scale current sheet (ECS) is further studied. The resistive diffusion is proved to be insignificant at the scale. Electron inertia leads to the expansion of the “inner region” as well as a wider saturation island and the invalidity of the boundary layer approximation. The unstable tearing mode index Δ′ thus decreases dramatically from that in classical asymptotic theory. As for nonlinear evaluation, the inverse spectral cascade and the flattening of the m = 0 anti-parallel asymptotic magnetic field will result in an m = 1 final island after nonlinear coupling in a long ECS. A rapid normal saturation transition is observed and only expected for a larger wave number due to the growth rate dependence on the wave number being a single humped function. A linear analysis of the EMHD tearing mode is also presented for the force-free equilibrium. With a strong guide field, it shows that the tearing mode can be suppressed by the shear flow. Nonlinear simulation results with specific parameters then showed that the dynamic structures in the current sheet are consistent with the observation in the Earth’s turbulent magnetosheath.Wenping GuoJiaqi WangDongjian LiuAIP Publishing LLCarticlePhysicsQC1-999ENAIP Advances, Vol 11, Iss 11, Pp 115206-115206-11 (2021) |
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Physics QC1-999 Wenping Guo Jiaqi Wang Dongjian Liu Numerical studies on electron magnetohydrodynamics tearing mode instability |
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The 2D electron-magnetohydrodynamics (EMHD) dominant tearing mode in an electron-skin-depth-scale current sheet (ECS) is further studied. The resistive diffusion is proved to be insignificant at the scale. Electron inertia leads to the expansion of the “inner region” as well as a wider saturation island and the invalidity of the boundary layer approximation. The unstable tearing mode index Δ′ thus decreases dramatically from that in classical asymptotic theory. As for nonlinear evaluation, the inverse spectral cascade and the flattening of the m = 0 anti-parallel asymptotic magnetic field will result in an m = 1 final island after nonlinear coupling in a long ECS. A rapid normal saturation transition is observed and only expected for a larger wave number due to the growth rate dependence on the wave number being a single humped function. A linear analysis of the EMHD tearing mode is also presented for the force-free equilibrium. With a strong guide field, it shows that the tearing mode can be suppressed by the shear flow. Nonlinear simulation results with specific parameters then showed that the dynamic structures in the current sheet are consistent with the observation in the Earth’s turbulent magnetosheath. |
format |
article |
author |
Wenping Guo Jiaqi Wang Dongjian Liu |
author_facet |
Wenping Guo Jiaqi Wang Dongjian Liu |
author_sort |
Wenping Guo |
title |
Numerical studies on electron magnetohydrodynamics tearing mode instability |
title_short |
Numerical studies on electron magnetohydrodynamics tearing mode instability |
title_full |
Numerical studies on electron magnetohydrodynamics tearing mode instability |
title_fullStr |
Numerical studies on electron magnetohydrodynamics tearing mode instability |
title_full_unstemmed |
Numerical studies on electron magnetohydrodynamics tearing mode instability |
title_sort |
numerical studies on electron magnetohydrodynamics tearing mode instability |
publisher |
AIP Publishing LLC |
publishDate |
2021 |
url |
https://doaj.org/article/aa3d686a59d74fd185d9285755dbf033 |
work_keys_str_mv |
AT wenpingguo numericalstudiesonelectronmagnetohydrodynamicstearingmodeinstability AT jiaqiwang numericalstudiesonelectronmagnetohydrodynamicstearingmodeinstability AT dongjianliu numericalstudiesonelectronmagnetohydrodynamicstearingmodeinstability |
_version_ |
1718404712622981120 |