Mean Field Electrodynamics: Triumphs and Tribulations
David W. Hughes
TL;DR
This paper reviews the successes and challenges of mean field electrodynamics over fifty years, highlighting its impact on cosmic dynamo modeling and discussing issues in highly turbulent, highly conductive astrophysical plasmas.
Contribution
It provides a comprehensive overview of the achievements and limitations of mean field electrodynamics in astrophysical dynamo theory.
Findings
Successful modeling of cosmic dynamos
Identification of problems in turbulent, conductive plasmas
Discussion of future research directions
Abstract
The theory of mean field electrodynamics, now celebrating its fiftieth birthday, has had a profound influence on our modelling of cosmical dynamos, greatly enhancing our understanding of how such dynamos may operate. Here I discuss some of its undoubted triumphs, but also some of the problems that can arise in a mean field approach to dynamos in fluids (or plasmas) that are both highly turbulent and also extremely good electrical conductors, as found in all astrophysical settings.
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