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Home All issues Volume 498 / No 1 (April IV 2009) A&A, 498 1 (2009) 241-271 Full HTML
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Table B.3:

List of 3D models. The first column ( 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 } $ (s0=0.2), the strength of the initial magnetic field, b0z, 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.
Field Grid size Resolution Rot $\partial _{\varpi } S$ bz0 BC $\sigma $ $M_{\varpi \phi }^{{\rm term}}$ $M_{\varpi \phi }^{{\rm max}}$ $\left\langle M_{\varpi \phi} \right\rangle$
  [km3]     $\left[{\rm km}^{-1}\right]$ $\left[10^{12}~{\rm G}\right]$   $\left[ {\rm ms^{-1}} \right]$ $\left[10^{28}~{\rm G}^2 ~ {\rm cm}^{-3}\right]$ $\left[10^{28}~{\rm G}^2 ~ {\rm cm}^{-3}\right]$ $\left[10^{28}~{\rm G}^2 ~ {\rm cm}^{-3}\right]$
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
  $1 \times 4 \times 1$ $100 \times 400 \times 100$ 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

Source LaTeX | All tables | In the text

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