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. Author manuscript; available in PMC: 2018 Jan 23.
Published in final edited form as: Astron Astrophys Suppl Ser. 2016 Nov 25;596:A36. doi: 10.1051/0004-6361/201629109

Table A.2.

Possible scaling for the different plasma β simulations using constant atmospheric temperature T0 (in K) and time t0 (in s), while varying the volume magnetic field B0 (in G). The other quantities are: length L0 (in Mm), pressure P0 (in Pa), density ρ0 (in kg m−3), velocity V0 (in km s−1), Alfvén speed cA (in km s−1), sound speed cS (in km s−1), and energy E0 (in J).

β L0 t0 B0 P0 ρ0 T0 V0 cA cS E0
1.0 0.5 1 0.5 10−3 1.2 × 10−13 106 454 128 117 2.3 × 1015
1.0 0.5 1 1 4.0 × 10−3 4.8 × 10−13 106 454 128 117 9.4 × 1015
1.0 0.5 1 5 0.1 1.2 × 10−11 106 454 128 117 2.3 × 1017

0.25 0.9 1 0.5 2.5 × 10−4 3.0 × 10−14 106 908 256 117 1.9 × 1016
0.25 0.9 1 1 10−3 1.2 × 10−13 106 908 256 117 7.5 × 1016
0.25 0.9 1 5 0.025 3.0 × 10−12 106 908 256 117 1.9 × 1018
0.25 0.9 1 10 0.1 1.2 × 10−11 106 908 256 117 7.5 × 1018

0.025 2.9 1 1 10−4 1.2 × 10−14 106 2873 810 117 2.4 × 1018
0.025 2.9 1 5 2.5 × 10−3 3.0 × 10−13 106 2873 810 117 5.9 × 1019
0.025 2.9 1 10 0.01 1.2 × 10−12 106 2873 810 117 2.4 × 1020
0.025 2.9 1 100 1 1.2 × 10−10 106 2873 810 117 2.4 × 1022

2.5 × 10−3 9.1 1 5 2.5 × 10−4 3.0 × 10−14 106 9085 2562 117 1.9 × 1021
2.5 × 10−3 9.1 1 10 10−3 1.2 × 10−13 106 9085 2562 117 7.5 × 1021
2.5 × 10−3 9.1 1 100 0.1 1.2 × 10−11 106 9085 2562 117 7.5 × 1023