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Phys. Rev. Lett. 101, 175005 (2008) [4 pages]

Anisotropic Scaling of Magnetohydrodynamic Turbulence

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Timothy S. Horbury*
The Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom

Miriam Forman
Stony Brook University, Stony Brook, New York 11794, USA

Sean Oughton
Department of Mathematics, University of Waikato, Hamilton, New Zealand

Received 23 July 2008; published 24 October 2008

We present a quantitative estimate of the anisotropic power and scaling of magnetic field fluctuations in inertial range magnetohydrodynamic turbulence, using a novel wavelet technique applied to spacecraft measurements in the solar wind. We show for the first time that, when the local magnetic field direction is parallel to the flow, the spacecraft-frame spectrum has a spectral index near 2. This can be interpreted as the signature of a population of fluctuations in field-parallel wave numbers with a k-2 spectrum but is also consistent with the presence of a “critical balance” style turbulent cascade. We also find, in common with previous studies, that most of the power is contained in wave vectors at large angles to the local magnetic field and that this component of the turbulence has a spectral index of 5/3.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.175005
DOI:
10.1103/PhysRevLett.101.175005
PACS:
52.35.Ra, 52.30.Cv, 95.75.Wx, 96.50.Bh

*t.horbury@imperial.ac.uk; http://www.imperial.ac.uk/people/t.horbury