H. Politano et al., DETERMINATION OF ANOMALOUS EXPONENTS OF STRUCTURE FUNCTIONS IN 2-DIMENSIONAL MAGNETOHYDRODYNAMIC TURBULENCE, Europhysics letters, 43(5), 1998, pp. 516-521
We determine numerically in two space dimensions the anomalous exponen
ts of structure functions of the velocity v, the magnetic field b and
the Elsasser variables z(+/-) = v +/- b up to order eight. To that eff
ect, we make use of new exact relationships derived recently for mixed
z(+/-) third-order correlators. These exponents are compared to exist
ing models of intermittency for either neutral or MHD flows, none of w
hich seem to apply, possibly indicative of a more complex behavior for
MHD flows than for neutral fluids.