\begin{table}%fB.3 %\centering \par \caption {\label{Tab:3d-models-1}List of 3D models. The first column ({\it from left to right}) gives the geometry of the initial field (``U'': uniform; ``V'' zero-flux). The next two columns show the box size ($L_{\varpi} \times L_{\phi} \times L_z$) and the number of grid zones ($m_{\varpi} \times m_{\phi} \times m_z$). The next four columns list the rotation law (``d'': differential rotation with $\Omega_0 = 1900 ~ {\rm s}^{-1}$ and $\alpha_\Omega=-1.25$; ``${r}^{\Omega}$'' rigid rotation with an angular velocity of~$\Omega$), the entropy gradient, $\partial_{\varpi} $ ($s_0=0.2$), the strength of the initial magnetic field, $b_0^z$, and the type of boundary condition which was applied (d: velocity damping; p: periodic). The remaining four columns give the growth rate of the MRI, $\sigma$, and the Maxwell stress component $M^{{\rm term}}_{\varpi\phi}$ at MRI termination, its maximum value, and its time averaged value, respectively. %% } \par \begin{tabular}{lccccccccccc} \hline\hline Field & Grid size & Resolution & Rot & $\partial_{\varpi} S$ & $b^z_0$ & BC & $\sigma$ & $M_{\varpi \phi}^{\rm term}$ & $M_{\varpi \phi}^{\rm max}$ & $\left\langle M_{\varpi \phi} \right\rangle$ \\ & $[\textrm{km}^3]$ & & & $\left[{\rm km}^{-1}\right]$ & $\left[10^{12}~{\rm G}\right]$ & & $\left[{\rm ms}^{-1}\right]$ & $\left[10^{28}~{\rm G}^2 ~ {\rm cm}^{-3}\right]$ & $\left[10^{28}~{\rm G}^2 ~ {\rm cm}^{-3}\right]$ & $\left[10^{28}~{\rm G}^2 ~ {\rm cm}^{-3}\right]$ \\ \hline U3 & $ 0.5 \times 0.25 \times 0.5 $ & $ 26 \times 12 \times 26 $ & d & 0 & 40 & d & 0.98 & 0.47 & 298 & 47 \\ & $ 0.5 \times 0.5 \times 0.5 $ & $ 26 \times 26 \times 26 $ & d & 0 & 40 & d & 0.96 & 0.45 & 211 & 36 \\ & $ 0.5 \times 1 \times 0.5 $ & $ 26 \times 50 \times 26 $ & d & 0 & 40 & d & 0.96 & 0.45 & 16 & 2.9 \\ & $ 0.5 \times 2 \times 0.5 $ & $ 26 \times 100 \times 26 $ & d & 0 & 40 & d & 0.92 & 0.44 & 5.0 & 1.5 \\ & $1 \times 0.5 \times 1$ & $50 \times 26 \times 50$ & d & 0 & 20 & d & 1.05 & 3.1 & 924 & 69 \\ & $1 \times 0.5 \times 1$ & $50 \times 26 \times 50$ & d & 0 & 40 & d & 1.10 & 3.7 & 553 & 68 \\ & $1 \times 1 \times 1$ & $50 \times 50 \times 50$ & d & 0 & 10 & d & 0.76 & 1.5 & 2.7 & 1.1 \\ & $1 \times 1 \times 1$ & $50 \times 50 \times 50$ & d & 0 & 20 & d & 1.03 & 3.1 & 347 & 44 \\ & $ 1 \times 1 \times 1 $ & $ 50 \times 50 \times 50 $ & d & 0 & 40 & d & 1.09 & 3.1 & 482 & 63 \\ & $1 \times 2 \times 1$ & $50 \times 50 \times 50$ & d & 0 & 10 & d & 0.75 & 1.3 & 1.3 & 0.47 \\ & $1 \times 2 \times 1$ & $50 \times 50 \times 50$ & d & 0 & 20 & d & 1.03 & 3.0 & 6.5 & 2.9 \\ & $1 \times 2 \times 1$ & $50 \times 50 \times 50$ & d & 0 & 40 & d & 1.09 & 2.9 & 22 & 5.8 \\ & $1 \times 2 \times 1$ & $50 \times 100 \times 50$ & d & 0 & 20 & d & 1.02 & 3.1 & 9.5 & 3.4 \\ & $1 \times 2 \times 1$ & $50 \times 100 \times 50$ & d & 0 & 40 & d & 1.09 & 2.8 & 60 & 9.2 \\ & $1 \times 4 \times 1$ & $50 \times 200 \times 50$ & d & 0 & 20 & d & 1.03 & 2.9 & 4.4 & 2.3 \\ & $1 \times 4 \times 1$ & $50 \times 200 \times 50$ & d & 0 & 40 & d & 1.08 & 3.0 & 10.5 & 3.4 \\ & $1 \times 4 \times 1$ & $50 \times 200 \times 50$ & d & 0 & 80 & d & 1.01 & 2.7 & 45 & 9.0 \\ \par & $1 \times 4 \times 1$ & $100 \times 400 \times 100$ & d & 0 & 20 & d & 1.05 & 3.5 & 6.5 & 2.5 \\ & $1 \times 4 \times 1$ & $100 \times 400 \times 100$ & d & 0 & 40 & d & 1.09 & 3.5 & 28 & 8.2 \\ & $ 0.5 \times 0.25 \times 1 $ & $ 26 \times 12 \times 50 $ & d & 0 & 40 & d & 1.04 & 0.44 & 325 & 64 \\ & $ 0.5 \times 0.5 \times 1 $ & $ 26 \times 26 \times 50 $ & d & 0 & 40 & d & 1.03 & 0.52 & 227 & 40 \\ & $ 0.5 \times 1 \times 1 $ & $ 26 \times 50 \times 50 $ & d & 0 & 40 & d & 1.00 & 0.42 & 298 & 33 \\ & $ 0.5 \times 2 \times 1 $ & $ 26 \times 100 \times 50 $ & d & 0 & 40 & d & 0.96 & 0.50 & 289 & 38 \\ & $ 1 \times 0.25 \times 0.5 $ & $ 50 \times 12 \times 26 $ & d & 0 & 40 & d & 1.08 & 2.9 & 310 & 59 \\ & $ 1 \times 0.38 \times 0.5 $ & $ 50 \times 18 \times 26 $ & d & 0 & 40 & d & 1.08 & 3.0 & 234 & 45 \\ & $ 1 \times 0.5 \times 0.5 $ & $ 50 \times 26 \times 26 $ & d & 0 & 40 & d & 1.07 & 2.9 & 16 & 6.2 \\ & $ 1 \times 1 \times 0.5 $ & $ 50 \times 50 \times 26 $ & d & 0 & 40 & d & 1.07 & 3.1 & 9.0 & 2.3 \\ & $ 1 \times 2 \times 0.5 $ & $ 50 \times 100 \times 26 $ & d & 0 & 40 & d & 1.06 & 3.0 & 3.4 & 1.8 \\ & $ 0.5 \times 0.25 \times 0.5 $ & $ 26 \times 12 \times 26 $ & d & 0 & 20 & p & 1.07 & 97 & 2940 & 145 \\ & $ 0.5 \times 0.5 \times 0.5 $ & $ 26 \times 26 \times 26 $ & d & 0 & 20 & p & 0.99 & 64 & 4196 & 335 \\ & $ 0.5 \times 1 \times 0.5 $ & $ 26 \times 50 \times 26 $ & d & 0 & 20 & p & 1.06 & 60 & 535 & 19 \\ & $ 0.5 \times 2 \times 0.5 $ & $ 26 \times 100 \times 26 $ & d & 0 & 20 & p & 1.08 & 66 & 66 & 8.7 \\ & $ 1 \times 0.25 \times 1 $ & $ 50 \times 12 \times 50 $ & d & 0 & 20 & p & 1.02 & 13 & 1316 & 110 \\ & $ 1 \times 0.5 \times 1 $ & $ 50 \times 26 \times 50 $ & d & 0 & 20 & p & 1.02 & 8.8 & 1424 & 60 \\ & $ 1 \times 1 \times 1 $ & $ 50 \times 50 \times 50 $ & d & 0 & 20 & p & 0.98 & 42 & 2570 & 128 \\ & $ 1 \times 2 \times 1 $ & $ 50 \times 100 \times 50 $ & d & 0 & 20 & p & 1.04 & 16.5 & 736 & 79 \\ & $1 \times 4 \times 1$ & $50 \times 200 \times 50$ & d & 0 & 20 & p & 1.05 & 22.5 & 59 & 6.5 \\ & $1 \times 4 \times 1$ & $50 \times 200 \times 50$ & d & 0 & 40 & p & 1.09 & 40.4 & 361 & 18 \\ & $1 \times 4 \times 1$ & $50 \times 200 \times 50$ & d & 0 & 80 & p & 1.09 & 254 & 254 & 5.5 \\ & $1 \times 4 \times 1$ & $100 \times 400 \times 100$ & d & 0 & 20 & p & 1.08 & 14.9 & 27.6 & 6.4 \\ & $1 \times 4 \times 1$ & $100 \times 400 \times 100$ & d & 0 & 40 & p & 1.11 & 88 & 88 & 11 \\ & $ 0.5 \times 0.25 \times 1 $ & $ 26 \times 12 \times 50 $ & d & 0 & 20 & p & 1.04 & 64 & 2182 & 146 \\ & $ 0.5 \times 0.25 \times 1 $ & $ 26 \times 26 \times 50 $ & d & 0 & 20 & p & 1.03 & 31 & 1540 & 170 \\ & $ 0.5 \times 1 \times 1 $ & $ 26 \times 50 \times 50 $ & d & 0 & 20 & p & 1.01 & 8.9 & 1735 & 102 \\ & $ 0.5 \times 2 \times 1 $ & $ 26 \times 100 \times 50 $ & d & 0 & 20 & p & 1.05 & 30 & 825 & 72 \\ & $ 0.5 \times 4 \times 1 $ & $ 26 \times 200 \times 50 $ & d & 0 & 20 & p & 1.04 & 27 & 103 & 15 \\ & $ 1 \times 0.25 \times 0.5 $ & $ 50 \times 12 \times 26 $ & d & 0 & 20 & p & 1.07 & 32 & 1654 & 171 \\ & $ 1 \times 0.5 \times 0.5 $ & $ 50 \times 26 \times 26 $ & d & 0 & 20 & p & 1.06 & 8.5 & 2902 & 170 \\ & $ 1 \times 1 \times 0.5 $ & $ 50 \times 50 \times 26 $ & d & 0 & 20 & p & 1.05 & 14 & 682 & 13 \\ & $ 1 \times 2 \times 0.5 $ & $ 50 \times 100 \times 26 $ & d & 0 & 20 & p & 1.06 & 14 & 14 & 4.0 \\ \hline \end{tabular} \end{table}