Direct Interaction Approximation of Magnetohydrodynamic Turbulence

Details Direct Interaction Approximation of Magnetohydrodynamic Turbulence Direct Interaction Approximation of Magnetohydrodynamic Turbulence

1995-09-05

arxiv.org/abs/chao-dyn/9509003v1

Nonlinear Sciences

Chaotic Dynamics

Revtex, 32 pages, submitted to Phys. Rev. E, 3 figures: available upon request at mkv@iitk.ernet.in

Scientific paper

In this paper we apply Kraichnan's direct interaction approximation, which is a one loop perturbation expansion, to magnetohydrodynamic turbulence. By substituting the energy spectra both from kolmogorov-like MHD turbulence phenomenology and a generalization of Dobrowolny et al.'s model we obtain Kolmogorov's and Kraichnan's constant for MHD turbulence. We find that the constants depend of the Alfv\'en ratio and normalized cross helicity; the dependence has been studied here. We also demonstrate the inverse cascade of magnetic energy for Kolmogorov-like models. Our results are in general agreement with the earlier simulation results except for large normalized cross helicity.

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