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Table 3.

Key volume-averaged physical quantities at saturation for the 2D and 3D simulations of MTI-driven turbulence listed in Table 2.

Run ℜ ⟨ℳ⟩𝒱 ⟨EK, r⟩𝒱 ⟨EK, h⟩𝒱 ⟨EM, r⟩𝒱 ⟨EM, h⟩𝒱 ⟨ v r ⟩ V ⟨ v r , rms ⟩ V $ \frac{{{\langle{v}_r\rangle}_{{\mathcal{V}}}}}{{{\langle{v}_{r,{\mathrm{rms}}}\rangle}_{{\mathcal{V}}}}} $ ⟨εi⟩𝒱 −⟨εκ⟩𝒱 mi α ( δ v r , δ T ) $ \alpha\left(\delta{v}_r, \delta T\right) $
3dSf4e0 100 0.14 0.0011 0.00058 4.1e–11 1.7e–11 0.61 0.0037 0.0028 3.1 0.59
2dSf4e0/S0 67 0.17 0.0013 0.00091 9.9e–12 5.2e–12 0.59 0.0056 0.0047 4.1 0.54
3dDf5e–2 170 0.13 0.001 0.0005 1.2e–09 5.7e–10 0.59 0.0017 0.0012 5.3 0.55
2dDf5e–2 140 0.15 0.0011 0.00071 7.2e–11 5.8e–11 0.6 0.002 0.0016 5.9 0.43
2dSf5e–1Mc 94 0.078 0.00021 0.00025 9.3e–10 1e–09 0.2 0.00075 0.00061 11.4 0.36
3dDf1e–2/F0 111 0.05 0.00017 0.0001 1.3e–07 6.8e–08 0.35 0.00034 0.00024 15.4 0.5
2dDf1e–2 119 0.065 0.00019 0.00026 3.4e–09 3.6e–09 0.27 0.0005 0.00041 12.8 0.29
2dSf6e–2 126 0.032 2.9e–05 3.5e–05 1.1e–08 1.3e–08 0.065 8.4e–05 6.6e–05 30.1 0.28
2dSf3e–2Mc/S1 123 0.023 1.6e–05 2e–05 2.1e–08 2.5e–08 0.048 4.4e–05 3.5e–05 43.4 0.25

Notes. The angular degree mi, representative of the injection scale, is defined in Eq. (31). In 2D, EK, h = EK, φ while in 3D, EK, h = EK, θ + EK, φ, and similarly for the magnetic energy EM. The Reynolds number is Re = ℓ i ⟨ v rms ⟩ V ⟨ ρ ⟩ V / ⟨ μ ⟩ V $ \mathrm{Re} = \ell_i{{\langle{v}_{\mathrm{rms}}\rangle}_{{\mathcal{V}}}}{{\langle\rho\rangle}_{{\mathcal{V}}}}/{{\langle\mu\rangle}_{{\mathcal{V}}}} $, from which we further define the magnetic Reynolds number Rm = PmRe = Re and the Peclet number Pe = PrRe = 0.01Re.

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