Bochum 2015 – scientific programme
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P: Fachverband Plasmaphysik
P 21: Theory and Modelling II
P 21.3: Talk
Wednesday, March 4, 2015, 14:55–15:10, HZO 50
Longitudinal and transverse structure functions in homogeneous isotropic MHD turbulence — •Jan Friedrich1, Holger Homann2, Tobias Schäfer3, and Rainer Grauer1 — 1Theoretische Physik I, Ruhr-Universität, 44780 Bochum, Germany — 2Laboratoire J.-L. Lagrange, Universite de Nice-Sophia Antipolis, CNRS, France — 3Department of Mathematics, College of Staten Island, CUNY, USA
We investigate the scaling behaviour of longitudinal and transverse structure functions in homogeneous and isotropic MHD turbulence by means of exact structure function equations as well as numerical simulations of three-dimensional MHD turbulence. A hierarchy of structure function relations is obtained from the basic MHD equations in making use of the tensor calculus introduced by Chandrasekhar [1]. It is found that no fundamental difference between longitudinal and transverse structure functions in the inertial range exists, in contrast to the hydrodynamic case, where transverse structure functions prove to be slightly more intermittent than their longitudinal counterparts [2]. This peculiar behaviour can be attributed to a local alignment between velocity and magnetic field that leads to an effective reduction of pressure contributions.
[1] S. Chandrasekhar, Proc. R. Soc. Lond. A, 204, 1079 (1951)
[2] R. Grauer, H. Homann, J.F. Pinton, NJP, 14:063016 (2012)