Physics – Fluid Dynamics
Scientific paper
2010-03-02
EPL 88, 25001, 2009
Physics
Fluid Dynamics
Scientific paper
The problem of the occurrence of an energy cascade for Alfv\'enic turbulence in solar wind plasmas was hystorically addressed by using phenomenological arguments based to the weakness of nonlinear interactions and the anisotropy of the cascade in wave vectors space. Here, this paradox is reviewed through the formal derivation of a Yaglom relation from anisotropic Magnetohydrodynamic equation. The Yaglom relation involves a third-order moment calculated from velocity and magnetic fields and involving both Els\"asser vector fields, and is particularly useful to be used as far as spacecraft observations of turbulence are concerned.
Carbone Vincenzo
Marino Raffaele
Sorriso-Valvo Luca
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