Statistics – Computation
Scientific paper
Jan 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21743601z&link_type=abstract
American Astronomical Society, AAS Meeting #217, #436.01; Bulletin of the American Astronomical Society, Vol. 43, 2011
Statistics
Computation
Scientific paper
We have derived the advection of magnetic fields in plasmas, due to gradients in diffusivity, for a completely general case. Magnetic diffusivity is proportional to electrical resistivity. Where the value of this parameter is high, it is well known that magnetic fields can leak (or diffuse) rapidly into (or out) of the plasma. Where gradients are high, i.e. the diffusivity changes rapidly in space, magnetic fields can experience enhanced advection. We derive this phenomenon rigorously, and discuss its implications, e.g. for the solar dynamo. We also find that this magnetic advection can be expressed in terms of a diffusion equation within the induction equation, making its computational implementation especially simple.
We present results of simulations of the effect generated with a magnetohydrodynamic model.
We are grateful to Tom Bogdan for discussions about the mathematical derivation, and to Neal Hurlburt for the use of his MHD code. This work was supported in part by Evergreen's Sponsored Research Program, and by NSF grant 0807651. We are grateful to HAO/NCAR in Boulder, CO and Lockheed Martin Solar and Astrophysics Lab in Palo Alto, CA for their support during the performance of this work.
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