| Type |
Journal Article |
| Names |
E. J. Kaplan, B. P. Brown, K. Rahbarnia, C. B. Forest |
| Publication |
Physical Review E |
| Volume |
85 |
| Issue |
6 |
| Pages |
66315 |
| Date |
June 1, 2012 |
| DOI |
DOI: 10.1103/PhysRevE.85.066315 |
| URL |
http://adsabs.harvard.edu/abs/2012PhRvE..85f6315K |
| Library Catalog |
NASA ADS |
| Abstract |
This paper presents an analysis of the Dudley-James two-vortex flow,
which inspired several laboratory-scale liquid-metal experiments, in
order to better demonstrate its relation to astrophysical dynamos. A
coordinate transformation splits the flow into components that are
axisymmetric and nonaxisymmetric relative to the induced magnetic dipole
moment. The reformulation gives the flow the same dynamo ingredients as
are present in more complicated convection-driven dynamo simulations.
These ingredients are currents driven by the mean flow and currents
driven by correlations between fluctuations in the flow and fluctuations
in the magnetic field. The simple model allows us to isolate the
dynamics of the growing eigenvector and trace them back to individual
three-wave couplings between the magnetic field and the flow. This
simple model demonstrates the necessity of poloidal advection in
sustaining the dynamo and points to the effect of large-scale flow
fluctuations in exciting a dynamo magnetic field. |
| Tags |
Electric and magnetic fields, Magnetohydrodynamics and plasmas, Origins and models of the magnetic field, SPECTRAL METHODS, dynamo theories, solar magnetism |