Third-order Els\"asser moments in axisymmetric MHD turbulence
Abstract
Incompressible MHD turbulence is investigated under the presence of a uniform magnetic field 0. Such a situation is described in the correlation space by a divergence relation which expresses the statistical conservation of the Els\"asser energy flux through the inertial range. The ansatz is made that the development of anisotropy, observed when B0 is strong enough, implies a foliation of space correlation. A direct consequence is the possibility to derive a vectorial law for third-order Els\"asser moments which is parametrized by the intensity of anisotropy. We use the so-called critical balance assumption to fix this parameter and find a unique expression.
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