Influence of the Hall effect on the reconnection rate at line-tied magnetic X-points

Details Influence of the Hall effect on the reconnection rate at line-tied magnetic X-points Influence of the Hall effect on the reconnection rate at line-tied magnetic X-points

Jun 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008a%26a...484..847c&link_type=abstract

Astronomy and Astrophysics, Volume 484, Issue 3, 2008, pp.847-850

Astronomy and Astrophysics

Astrophysics

5

Magnetohydrodynamics (Mhd), Sun: Flares, Sun: Magnetic Fields

Scientific paper

Context: The role of the Hall term in magnetic reconnection at line-tied planar magnetic X-points is explored. Aims: The goal is to determine the reconnection scaling laws and to investigate how the reconnection rate depends on the size of the system in Hall magnetohydrodynamics (MHD). Methods: The evolution of reconnective disturbances is determined numerically by solving the linearized compressible Hall MHD equations. Scaling laws are derived for the decay rate as a function of the dimensionless resistivity and ion inertial length. Results: Although the Hall effect leads to an increase in the decay rate, this increase is shown to be moderated in larger systems. A key finding is that the Hall term contribution to the decay rate, normalized by the resistive decay rate, scales inversely with the system size L, approximately as L-2. Conclusions: The evidence suggests that decay rate enhancements due to Hall effects in line-tied X-points are weakened for large-scale systems. The result may have important implications for modeling energy release in large-scale astrophysical plasma environments, such as solar flares.

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