
pmid: 16605832
arXiv: astro-ph/0511290
We propose a phenomenological theory of strong incompressible magnetohydrodynamic turbulence in the presence of a strong large-scale external magnetic field. We argue that in the inertial range of scales, magnetic-field and velocity-field fluctuations tend to align the directions of their polarizations. However, the perfect alignment cannot be reached, it is precluded by the presence of a constant energy flux over scales. As a consequence, the directions of fluid and magnetic-field fluctuations at each scale $��$ become effectively aligned within the angle $��_��\propto ��^{1/4}$, which leads to scale-dependent depletion of nonlinear interaction and to the field-perpendicular energy spectrum $E(k_{\perp})\propto k_{\perp}^{-3/2}$. Our results may be universal, i.e., independent of the external magnetic field, since small-scale fluctuations locally experience a strong field produced by large-scale eddies.
4 pages, 3 figures, to appear in Phys. Rev. Lett
Plasma Physics (physics.plasm-ph), Astrophysics (astro-ph), FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Astrophysics, Nonlinear Sciences - Chaotic Dynamics, Physics - Plasma Physics
Plasma Physics (physics.plasm-ph), Astrophysics (astro-ph), FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Astrophysics, Nonlinear Sciences - Chaotic Dynamics, Physics - Plasma Physics
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