Energy spectra stemming from interactions of Alfvén waves and turbulent eddies

AMS Citation:
Mininni, P. D., and A. Pouquet, 2007: Energy spectra stemming from interactions of Alfvén waves and turbulent eddies. Physical Review Letters, 99, 254502, doi:10.1103/PhysRevLett.99.254502.
Date:2007-12-21
Resource Type:article
Title:Energy spectra stemming from interactions of Alfvén waves and turbulent eddies
Abstract: We present a numerical analysis of an incompressible decaying magnetohydrodynamic turbulence run on a grid of 1536³ points. The Taylor Reynolds number at the maximum of dissipation is approximately 1100, and the initial condition is a superposition of large-scale Arn'old-Beltrami-Childress flows and random noise at small scales, with no uniform magnetic field. The initial kinetic and magnetic energies are equal, with negligible correlation. The resulting energy spectrum is a combination of two components, each moderately resolved. Isotropy obtains in the large scales, with a spectral law compatible with the Iroshnikov-Kraichnan theory stemming from the weakening of nonlinear interactions due to Alfvén waves; scaling of structure functions confirms the non-Kolmogorovian nature of the flow in this range. At small scales, weak turbulence emerges with a k⊥₋₂spectrum, the perpendicular direction referring to the local quasiuniform magnetic field.
Peer Review:Refereed
Copyright Information:Copyright 2008 American Physical Society
OpenSky citable URL: ark:/85065/d70g3mdx
Publisher's Version: 10.1103/PhysRevLett.99.254502
Author(s):
  • Pablo Mininni - NCAR/UCAR
  • Annick Pouquet - NCAR/UCAR
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