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Magnetic structures produced by the small-scale dynamo

Lookup NU author(s): Samantha Wilkin, Professor Carlo Barenghi, Professor Anvar Shukurov

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Abstract

Small-scale dynamo action has been obtained for a flow previously used to model fluid turbulence, where the sensitivity of the magnetic field parameters to the kinetic energy spectrum can be explored. We apply quantitative morphology diagnostics, based on the Minkowski functionals, to magnetic fields produced by the kinematic small-scale dynamo to show that magnetic structures are predominantly filamentary rather than sheetlike. Our results suggest that the thickness, width, and length of the structures scale differently with magnetic Reynolds number as Rm-2/(1-s) and Rm-0.55 for the former two, whereas the latter is independent of Rm, with s the slope of the energy spectrum. © 2007 The American Physical Society.


Publication metadata

Author(s): Wilkin SL, Barenghi CF, Shukurov A

Publication type: Article

Publication status: Published

Journal: Physical Review Letters

Year: 2007

Volume: 99

Issue: 13

Pages: -

ISSN (print): 0031-9007

ISSN (electronic): 1079-7114

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevLett.99.134501

DOI: 10.1103/PhysRevLett.99.134501


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