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Current Status of Turbulent Dynamo Theory From Large Scale to Small-Scale Dynamos
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.ORCID iD: 0000-0002-7304-021X
2012 (English)In: Space Science Reviews, ISSN 0038-6308, E-ISSN 1572-9672, Vol. 169, no 1-4, 123-157 p.Article, review/survey (Refereed) Published
Abstract [en]

Several recent advances in turbulent dynamo theory are reviewed. High resolution simulations of small-scale and large-scale dynamo action in periodic domains are compared with each other and contrasted with similar results at low magnetic Prandtl numbers. It is argued that all the different cases show similarities at intermediate length scales. On the other hand, in the presence of helicity of the turbulence, power develops on large scales, which is not present in non-helical small-scale turbulent dynamos. At small length scales, differences occur in connection with the dissipation cutoff scales associated with the respective value of the magnetic Prandtl number. These differences are found to be independent of whether or not there is large-scale dynamo action. However, large-scale dynamos in homogeneous systems are shown to suffer from resistive slow-down even at intermediate length scales. The results from simulations are connected to mean field theory and its applications. Recent work on magnetic helicity fluxes to alleviate large-scale dynamo quenching, shear dynamos, nonlocal effects and magnetic structures from strong density stratification are highlighted. Several insights which arise from analytic considerations of small-scale dynamos are discussed.

Place, publisher, year, edition, pages
2012. Vol. 169, no 1-4, 123-157 p.
Keyword [en]
Magnetic fields, Turbulence, Sun: Magnetic fields
National Category
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:kth:diva-102123DOI: 10.1007/s11214-012-9909-xISI: 000307410400004ScopusID: 2-s2.0-84865408073OAI: diva2:551260
EU, European Research Council, 227952Swedish Research Council, 621-2011-5076

QC 20120910

Available from: 2012-09-10 Created: 2012-09-10 Last updated: 2013-08-27Bibliographically approved

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Brandenburg, Axel
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