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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 16, issue 2
Nonlin. Processes Geophys., 16, 241-249, 2009
https://doi.org/10.5194/npg-16-241-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Coupling between large and small scale turbulence in space...

Nonlin. Processes Geophys., 16, 241-249, 2009
https://doi.org/10.5194/npg-16-241-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

  03 Apr 2009

03 Apr 2009

Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless plasmas

D. Grasso1,2, D. Borgogno3, F. Pegoraro4, and E. Tassi2,5 D. Grasso et al.
  • 1CNR-INFM, Genova, Italy
  • 2Burning Plasma Reasearch Group, Dip. di Energetica, Politecnico di Torino, CNISM, Italy
  • 3Université de Nice-Sophia Antipolis, CNRS, OCA, Nice, France
  • 4Phys. Dept. Pisa University, Pisa, CNISM, Italy
  • 5Centre de Physique Theorique – UMR 6207, CNRS Luminy, Case 907, 13288 Marseille Cedex 09, France

Abstract. 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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