Physics – Plasma Physics
Scientific paper
Dec 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufmsh23b1539z&link_type=abstract
American Geophysical Union, Fall Meeting 2009, abstract #SH23B-1539
Physics
Plasma Physics
[7524] Solar Physics, Astrophysics, And Astronomy / Magnetic Fields, [7839] Space Plasma Physics / Nonlinear Phenomena, [7859] Space Plasma Physics / Transport Processes, [7863] Space Plasma Physics / Turbulence
Scientific paper
We derive and discuss an important source of advection of magnetic fields in plasmas, for a completely general case. Magnetic diffusivity is proportional to electrical resistivity: where the value this parameter is high, it is well known that magnetic fields can leak (or diffuse) rapidly into (or out) of the plasma. Magnetohydrodynamic lore has it that where gradients, or changes in space, of the value of the diffusivity are high, magnetic fields can have enhanced flow (or advection). We derive this phenomenon rigorously, compare our results to other work in the literature, and discuss its implications, especially for kinematic dynamos. As an extra mathematical bonus, we find that the magnetic advection due to diffusivity gradients can be expressed in terms of a diffusion equation within the induction equation, making its computational implementation especially simple.
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