Novel decay laws in three-dimensional incompressible magnetohydrodynamic turbulence are obtained by high-resolution numerical simulations with up to 512³ modes and explained by a simple theoretical model. For the typical case of finite magnetic helicity H the energy decay is governed by the conservation of H and the decay of the energy ratio Γ0ex0ex=0ex0exEV/EM. One finds the relation (E5/2/εH)Γ1/2/(1+Γ)3/20ex0ex=0ex0exconst, where ε0ex0ex=0ex0ex-dE/dt. Use of the numerical result that Γ(t)∝E(t) gives the asymptotic law E~t^-0.5 in good agreement with the numerical observations. For the special case H0ex0ex=0ex0ex0 the energy decreases more rapidly E~t^-1.
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Biskamp et al. (1999) studied this question.
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