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Scaling properties of three-dimensional magnetohydrodynamic turbulence

Wolf-Christian Mueller·Dieter Biskamp
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Abstract

The scaling properties of three-dimensional magnetohydrodynamic turbulence are obtained from direct numerical simulations of decaying turbulence using $512^3$ modes. The results indicate that the turbulence does not follow the Iroshnikov-Kraichnan phenomenology.In the case of hyperresistivity, the structure functions exhibit a clear scaling range yielding absolute values of the scaling exponents $ζ_p$. The scaling exponents agree with a modified She-Leveque model $ζ_p=p/9 + 1 - (1/3)^{p/3}$, corresponding to Kolmogorov scaling but sheet-like geometry of the dissipative structures.

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Wolf-Christian Mueller, Dieter Biskamp. 1999-06-01. Scaling properties of three-dimensional magnetohydrodynamic turbulence. https://doi.org/10.1103/physrevlett.84.475

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