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Previous work has introduced scale-split energy density ψ_l,L(x,t)=1/2B_l·B_L for vector field B(x,t) coarse grained at scales l and L, in order to quantify the field stochasticity or spatial complexity. In this formalism, the L_p norms S_p(t)=1/2||1-B[over ̂]_l·B[over ̂]_L||_p, pth-order stochasticity level, and E_p(t)=1/2||B_lB_L||_p, pth order mean cross energy density, are used to analyze the evolution of the stochastic field B(x,t). Application to turbulent magnetic fields leads to the prediction that turbulence in general tends to tangle an initially