Volume 4, Issue 3
Two-fluid Formulation of Lower-hybrid-drift Instabilities in Current-sheet Equilibrium with a Guide Field

W. Zhang, Z. Lin, P. H. Yoon & X. Wang

DOI:

Commun. Comput. Phys., 4 (2008), pp. 719-728.

Published online: 2008-09

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  • Abstract

Anonlocal two-fluidformulationhasbeenconstructedfordescribinglowerhybrid drift instabilities in current-sheet configuration with a finite guide magnetic field in the context of magnetic reconnection. As a benchmark and verification, a class of unstable modes with multiple eigenstates are found by numerical solutions with guide field turned off. It is found that the most unstable modes are the electrostatic, short-wavelength perturbations in the lower-hybrid frequency range, with wave functions localized at the edge of the current sheet where the density gradient reaches its maximum. It is also found that there exist electrostatic modes located near the center of the current sheet where the current density is maximum. These modes are lowfrequency, long-wavelength perturbations. Attempts will be made to compare the current results with those from kinetic theory in the near future since the validity of the fluid theory ultimately needs to be checked with the more fundamental kinetic theory. 

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@Article{CiCP-4-719, author = {W. Zhang, Z. Lin, P. H. Yoon and X. Wang}, title = {Two-fluid Formulation of Lower-hybrid-drift Instabilities in Current-sheet Equilibrium with a Guide Field}, journal = {Communications in Computational Physics}, year = {2008}, volume = {4}, number = {3}, pages = {719--728}, abstract = {

Anonlocal two-fluidformulationhasbeenconstructedfordescribinglowerhybrid drift instabilities in current-sheet configuration with a finite guide magnetic field in the context of magnetic reconnection. As a benchmark and verification, a class of unstable modes with multiple eigenstates are found by numerical solutions with guide field turned off. It is found that the most unstable modes are the electrostatic, short-wavelength perturbations in the lower-hybrid frequency range, with wave functions localized at the edge of the current sheet where the density gradient reaches its maximum. It is also found that there exist electrostatic modes located near the center of the current sheet where the current density is maximum. These modes are lowfrequency, long-wavelength perturbations. Attempts will be made to compare the current results with those from kinetic theory in the near future since the validity of the fluid theory ultimately needs to be checked with the more fundamental kinetic theory. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7813.html} }
TY - JOUR T1 - Two-fluid Formulation of Lower-hybrid-drift Instabilities in Current-sheet Equilibrium with a Guide Field AU - W. Zhang, Z. Lin, P. H. Yoon & X. Wang JO - Communications in Computational Physics VL - 3 SP - 719 EP - 728 PY - 2008 DA - 2008/09 SN - 4 DO - http://dor.org/ UR - https://global-sci.org/intro/cicp/7813.html KW - AB -

Anonlocal two-fluidformulationhasbeenconstructedfordescribinglowerhybrid drift instabilities in current-sheet configuration with a finite guide magnetic field in the context of magnetic reconnection. As a benchmark and verification, a class of unstable modes with multiple eigenstates are found by numerical solutions with guide field turned off. It is found that the most unstable modes are the electrostatic, short-wavelength perturbations in the lower-hybrid frequency range, with wave functions localized at the edge of the current sheet where the density gradient reaches its maximum. It is also found that there exist electrostatic modes located near the center of the current sheet where the current density is maximum. These modes are lowfrequency, long-wavelength perturbations. Attempts will be made to compare the current results with those from kinetic theory in the near future since the validity of the fluid theory ultimately needs to be checked with the more fundamental kinetic theory. 

W. Zhang, Z. Lin, P. H. Yoon & X. Wang. (1970). Two-fluid Formulation of Lower-hybrid-drift Instabilities in Current-sheet Equilibrium with a Guide Field. Communications in Computational Physics. 4 (3). 719-728. doi:
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