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Phys. Rev. E 64, 056405 (2001) [6 pages]

Inverse cascade in decaying three-dimensional magnetohydrodynamic turbulence

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Mattias Christensson* and Mark Hindmarsh
Centre for Theoretical Physics, University of Sussex, Brighton BN1 9QJ, United Kingdom

Axel Brandenburg
Nordita, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
Department of Mathematics, University of Newcastle, Newcastle upon Tyne NE1 7RU, United Kingdom

Received 22 November 2000; published 22 October 2001

We perform direct numerical simulations of three-dimensional freely decaying magnetohydrodynamic turbulence. For helical magnetic fields, an inverse cascade effect is observed in which power is transfered from smaller scales to larger scales. The magnetic field reaches a scaling regime with self-similar evolution, and power-law behavior at high wave numbers. We also find power-law decay in the magnetic and kinematic energies, and power-law growth in the characteristic length scale of the magnetic field.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.056405
DOI:
10.1103/PhysRevE.64.056405
PACS:
95.30.Qd, 47.65.+a, 47.40.-x, 98.80.-k

*Electronic address: kapl7@pact.cpes.susx.ac.uk

Electronic address: m.b.hindmarsh@sussex.ac.uk

Electronic address: brandenb@nordita.dk