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Table A.3

Possible scaling for the different plasma β simulations using constant volume magnetic field B0 (in G) and length L0 (in Mm), while varying the atmospheric temperature T0 (in K).

β L 0 t 0 B 0 P 0 ρ 0 T 0 V 0 c A c S E 0

1.0 5 110 5 0.1 1.2 × 10-9 104 45 12 11 3.1 × 1020
1.0 5 34 5 0.1 1.2 × 10-10 105 143 40 37 3.1 × 1020
1.0 5 11 5 0.1 1.2 × 10-11 106 454 128 117 3.1 × 1020
1.0 5 3.5 5 0.1 1.2 × 10-12 107 1436 405 370 3.1 × 1020

0.25 5 55 5 0.025 3.0 × 10-10 104 90 25 11 3.1 × 1020
0.25 5 17 5 0.025 3.0 × 10-11 105 287 81 37 3.1 × 1020
0.25 5 5.5 5 0.025 3.0 × 10-12 106 908 256 117 3.1 × 1020
0.25 5 1.7 5 0.025 3.0 × 10-13 107 2873 810 370 3.1 × 1020

0.025 5 17 5 2.5 × 10-3 3.0 × 10-11 104 287 81 11 3.1 × 1020
0.025 5 5.5 5 2.5 × 10-3 3.0 × 10-12 105 908 256 37 3.1 × 1020
0.025 5 1.7 5 2.5 × 10-3 3.0 × 10-13 106 2873 810 117 3.1 × 1020
0.025 5 0.6 5 2.5 × 10-3 3.0 × 10-14 107 9085 2562 370 3.1 × 1020

2.5 × 10-3 5 5.5 5 2.5 × 10-4 3.0 × 10-12 104 908 256 11 3.1 × 1020
2.5 × 10-3 5 1.7 5 2.5 × 10-4 3.0 × 10-13 105 2873 810 37 3.1 × 1020
2.5 × 10-3 5 0.6 5 2.5 × 10-4 3.0 × 10-14 106 9085 2562 117 3.1 × 1020
2.5 × 10-3 5 0.2 5 2.5 × 10-4 3.0 × 10-15 107 2.9 × 104 8104 370 3.1 × 1020

Notes. The other quantities are: time t0 (in s), 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).

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