Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas

In a collisionless plasma, when reconnection instability takes place, strong shear flows may develop. Under appropriate conditions these shear flows become unstable to the Kelvin-Helmholtz instability. Here, we investigate the coupling between these instabilities in the framework of a four-field mod...

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Main Authors: D. Grasso, D. Borgogno, F. Pegoraro, E. Tassi
Format: Article
Language:English
Published: Copernicus Publications 2009-04-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/16/241/2009/npg-16-241-2009.pdf
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author D. Grasso
D. Borgogno
F. Pegoraro
E. Tassi
author_facet D. Grasso
D. Borgogno
F. Pegoraro
E. Tassi
author_sort D. Grasso
collection DOAJ
description In a collisionless plasma, when reconnection instability takes place, strong shear flows may develop. Under appropriate conditions these shear flows become unstable to the Kelvin-Helmholtz instability. Here, we investigate the coupling between these instabilities in the framework of a four-field model. Firstly, we recover the known results in the low β limit, β being the ratio between the plasma and the magnetic pressure. We concentrate our attention on the dynamical evolution of the current density and vorticity sheets which evolve coupled together according to a laminar or a turbulent regime. A three-dimensional extension in this limit is also discussed. Secondly, we consider finite values of the β parameter, allowing for compression of the magnetic and velocity fields along the ignorable direction. We find that the current density and vorticity sheets now evolve separately. The Kelvin-Helmholtz instability involves only the vorticity field, which ends up in a turbulent regime, while the current density maintains a laminar structure.
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spelling doaj.art-0df3d046fed54af791d65ce9e1fd35842022-12-22T03:17:18ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462009-04-01162241249Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmasD. GrassoD. BorgognoF. PegoraroE. TassiIn a collisionless plasma, when reconnection instability takes place, strong shear flows may develop. Under appropriate conditions these shear flows become unstable to the Kelvin-Helmholtz instability. Here, we investigate the coupling between these instabilities in the framework of a four-field model. Firstly, we recover the known results in the low β limit, β being the ratio between the plasma and the magnetic pressure. We concentrate our attention on the dynamical evolution of the current density and vorticity sheets which evolve coupled together according to a laminar or a turbulent regime. A three-dimensional extension in this limit is also discussed. Secondly, we consider finite values of the β parameter, allowing for compression of the magnetic and velocity fields along the ignorable direction. We find that the current density and vorticity sheets now evolve separately. The Kelvin-Helmholtz instability involves only the vorticity field, which ends up in a turbulent regime, while the current density maintains a laminar structure.http://www.nonlin-processes-geophys.net/16/241/2009/npg-16-241-2009.pdf
spellingShingle D. Grasso
D. Borgogno
F. Pegoraro
E. Tassi
Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas
Nonlinear Processes in Geophysics
title Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas
title_full Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas
title_fullStr Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas
title_full_unstemmed Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas
title_short Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas
title_sort coupling between reconnection and kelvin helmholtz instabilities in collisionless plasmas
url http://www.nonlin-processes-geophys.net/16/241/2009/npg-16-241-2009.pdf
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