Scaling properties of three-dimensional magnetohydrodynamic turbulence

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 ${\zeta }_p$. The scaling exponents agree with a modified She-Leveque model ${\zeta }_p=p/9+1-(1/3{)}^{p/3}$, corresponding to Kolmogorov scaling but sheet-like geometry of the dissipative structures.

References in corpus (1)

• Decay laws for three-dimensional magnetohydrodynamic turbulence

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