H. Politano et A. Pouquet, VON-KARMAN-HOWARTH EQUATION FOR MAGNETOHYDRODYNAMICS AND ITS CONSEQUENCES ON 3RD-ORDER LONGITUDINAL STRUCTURE AND CORRELATION-FUNCTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(1), 1998, pp. 21-24
A derivation in variable dimension of the scaling laws for mixed third
-order longitudinal structure and correlation functions for incompress
ible magnetized hows is given for arbitrary correlation between the ve
locity and magnetic field with full isotropy, homogeneity, and incompr
essibility assumed. When close to; equipartition between kinetic and m
agnetic energy, the scaling relations involve only structure functions
in a manner similar to the ''4/5 law'' of Kolmogorov.