Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001apj...556.1027n&link_type=abstract
The Astrophysical Journal, Volume 556, Issue 2, pp. 1027-1037.
Astronomy and Astrophysics
Astronomy
11
Ism: General, Magnetohydrodynamics: Mhd, Turbulence
Scientific paper
We construct a spectral theory of strong shear Alfvén turbulence anisotropized by the presence of a uniform mean magnetic field. Our theoretical framework is a Lagrangian renormalized approximation, free from spurious convection effects. Our theory confirms the crucial nature of magnetohydrodynamic (MHD) turbulence: relaxation of eddies of each size is governed by the largest (i.e., energy-containing) eddies. That is, quite different from hydrodynamic (HD) turbulence, the effects of large eddies on smaller ones are not spurious. As a consequence of the real large-eddy effects, our theory reproduces not -5/3 but -3/2 as a power-law index of the inertial-range energy spectrum. Precisely because of extremely anisotropic energy cascades induced by the mean magnetic field, we have an anisotropic three-dimensional energy spectrum proportional to δ(k∥)k-5/2⊥, from which we obtain a one-dimensionalized spectrum k-3/2⊥, where δ is the delta function and k∥ and k⊥ are wavenumber components parallel to and vertical to the mean magnetic field, respectively.
Nakayama Kunji
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