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Table 4 Local statistics

From: Magnetic field stretching at the top of the shell of numerical dynamos

Model Patch type St/Ad \({\mathcal {P}}/{\mathcal {T}}\) \(H_u\) \({\text{corr}}(|B_r|,\delta _h^-)\) \({\text{corr}}(|B_r|,\delta _h^+)\) \(\xi _{a}\) \(\xi _{s}\) \(\xi _{\text {e}}\)
1 HN 0.69 ± 0.23 0.34 ± 0.05 0.91 ± 0.11 0.44 ± 0.19 −0.28 ± 0.08 0.44 ± 0.09 0.76 ± 0.09 0.92 ± 0.09
LN 0.28 ± 0.00 0.60 ± 0.00 0.70 ± 0.00 0.38 ± 0.00 −0.34 ± 0.00 0.11 ± 0.00 0.31 ± 0.00 0.62 ± 0.00
LR 0.48 ± 0.14 0.63 ± 0.11 0.79 ± 0.19 0.42 ± 0.17 −0.18 ± 0.13 0.07 ± 0.04 0.20 ± 0.06 0.68 ± 0.13
2 HN 0.55 ± 0.21 0.40 ± 0.07 0.83 ± 0.09 0.29 ± 0.19 −0.19 ± 0.09 0.28 ± 0.09 0.59 ± 0.18 0.77 ± 0.20
LN 0.33 ± 0.10 0.59 ± 0.12 0.71 ± 0.23 0.43 ± 0.24 −0.17 ± 0.13 0.11 ± 0.06 0.38 ± 0.16 0.56 ± 0.22
LR 0.43 ± 0.16 0.79 ± 0.14 0.59 ± 0.22 0.28 ± 0.22 −0.04 ± 0.19 0.11 ± 0.08 0.25 ± 0.13 0.62 ± 0.19
3 HN 0.60 ± 0.19 0.33 ± 0.05 0.91 ± 0.03 0.30 ± 0.18 −0.19 ± 0.11 0.24 ± 0.08 0.56 ± 0.16 0.87 ± 0.06
LN
LR 0.65 ± 0.27 0.61 ± 0.06 0.82 ± 0.09 0.60 ± 0.14 −0.20 ± 0.03 0.26 ± 0.08 0.52 ± 0.13 0.84 ± 0.09
4 HN 1.27 ± 0.51 0.32 ± 0.07 0.87 ± 0.20 0.71 ± 0.10 −0.39 ± 0.11 0.63 ± 0.13 0.61 ± 0.13 0.85 ± 0.09
LN 1.10 ± 0.29 0.39 ± ± 0.02 0.91 ± 0.05 0.78 ± 0.03 −0.48 ± 0.08 0.58 ± 0.14 0.35 ± 0.09 0.57 ± 0.11
LR 0.24 ± 0.01 0.69 ± 0.01 0.52 ± 0.06 −0.23 ± 0.06 0.14 ± 0.01 0.06 ± 0.00 0.28 ± 0.02 0.24 ± 0.01
5 HN 0.95 ± 0.30 0.32 ± 0.05 0.83 ± 0.14 0.54 ± 0.13 −0.35 ± 0.06 0.57 ± 0.14 0.75 ± 0.08 0.93 ± 0.04
LN 0.43 ± 0.00 0.42 ± 0.00 0.91 ± 0.00 0.57 ± 0.00 −0.22 ± 0.00 0.47 ± 0.00 0.72 ± 0.00 0.94 ± 0.00
LR 0.72 ± 0.00 0.86 ± 0.00 0.71 ± 0.00 0.49 ± 0.00 −0.23 ± 0.00 0.09 ± 0.00 0.16 ± 0.00 0.67 ± 0.00
6 HN 0.74 ± 0.15 0.34 ± 0.05 0.91 ± 0.04 0.40 ± 0.18 −0.27 ± 0.10 0.39 ± 0.07 0.69 ± 0.11 0.87 ± 0.10
LN 0.69 ± 0.15 0.60 ± 0.07 0.91 ± 0.01 0.54 ± 0.18 −0.18 ± 0.00 0.12 ± 0.10 0.32 ± 0.26 0.82 ± 0.04
LR 0.68 ± 0.13 0.73 ± 0.31 0.85 ± 0.06 0.54 ± 0.18 −0.19 ± 0.03 0.11 ± 0.06 0.17 ± 0.08 0.76 ± 0.09
7 HN 1.18 ± 0.28 0.28 ± 0.08 0.80 ± 0.15 0.54 ± 0.13 −0.30 ± 0.07 0.59 ± 0.09 0.62 ± 0.08 0.89 ± 0.06
LN 0.81 ± 0.20 0.40 ± 0.01 0.91 ± 0.02 0.54 ± 0.16 −0.25 ± 0.12 0.55 ± 0.06 0.51 ± 0.05 0.74 ± 0.04
LR 1.12 ± 0.12 0.58 ± 0.01 0.81 ± 0.04 0.48 ± 0.06 −0.09 ± 0.02 0.08 ± 0.06 0.04 ± 0.04 0.67 ± 0.05
8 HN 0.78 ± 0.20 0.27 ± 0.04 0.83 ± 0.12 0.45 ± 0.15 −0.30 ± 0.06 0.50 ± 0.12 0.68 ± 0.08 0.89 ± 0.06
LN
LR 0.93 ± 0.00 0.94 ± 0.00 0.60 ± 0.00 0.57 ± 0.00 −0.18 ± 0.00 0.14 ± 0.00 0.20 ± 0.00 0.63 ± 0.00
9 HN 0.68 ± 0.15 0.31 ± 0.06 0.81 ± 0.11 0.48 ± 0.18 −0.24 ± 0.07 0.32 ± 0.06 0.63 ± 0.07 0.84 ± 0.04
LN 0.61 ± 0.13 0.45 ± 0.07 0.82 ± 0.04 0.51 ± 0.05 −0.23 ± 0.04 0.28 ± 0.05 0.54 ± 0.07 0.83 ± 0.02
LR 0.85 ± 0.09 0.67 ± 0.17 0.70 ± 0.06 0.55 ± 0.19 −0.22 ± 0.07 0.20 ± 0.20 0.25 ± 0.25 0.88 ± 0.07
\(\bar{x}\) HN 0.82 0.32 0.86 0.46 −0.28 0.44 0.65 0.90
LN 0.61 0.49 0.84 0.53 −0.27 0.32 0.45 0.73
LR 0.68 0.72 0.71 0.42 −0.13 0.13 0.23 0.66
  1. Dynamo models time-average and standard deviation values for each patch type. RMS ratios, correlations and patch types are the same as in Table 3. \(\xi _{a}\) and \(\xi _{s}\) are the absolute normalized integrated values of advection and stretching SV, respectively, \(\xi _{\text {e}}\) is the normalized integrated value of the product of stretching SV and \(B_r\). \(\bar{x}\) denotes averages over all dynamo models