Determination of anomalous exponents of structure functions in two-dimensional magnetohydrodynamic turbulence
Laboratoire G.D. Cassini, CNRS UMR 6529, OCA Observatoire de Nice, B.P. 4229, 06304 Nice Cedex 04, France
2 Dipartimento di Fisica, Università della Calabria, 87036 Roges di Rende, Cosenza, Italy
Accepted: 14 July 1998
We determine numerically in two space dimensions the anomalous exponents of structure functions of the velocity , the magnetic field and the Elsässer variables up to order eight. To that effect, we make use of new exact relationships derived recently for mixed third-order correlators. These exponents are compared to existing models of intermittency for either neutral or MHD flows, none of which seem to apply, possibly indicative of a more complex behavior for MHD flows than for neutral fluids.
PACS: 47.27.Jv – High-Reynolds-number turbulence / 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 47.65.+a – Magnetohydrodynamics and electrohydrodynamics
© EDP Sciences, 1998