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Table B.1

Rankine-Hugoniot jump conditions for RMHD shocks.

Hydrodynamic shock (γ = 5/3)
Variable Left state Right state
ρ (g/cm3 ) 1.0 × 10−2 3.06495 × 10−2
Tg, Tr (K) 1.08899 × 106 3.83849 × 106
vx (cm/s) 5.19271 × 107 1.69422 × 107
vy (cm/s) 0.0 0.0
vɀ (cm/s) 0.0 0.0
Bx (Gauss) 0.0 0.0
By (Gauss) 0.0 0.0
Bɀ (Gauss) 0.0 0.0
p (erg/cm3) 1.79762 × 1012 1.94203 × 1013
E (erg/cm3 ) 1.06401 × 1010 1.64244 × 1012
β undefined undefined
Ms undefined undefined
Ma undefined undefined
Mf 3.0 0.52135

L (cm) 2 × 105

Fast magnetosonic shock (γ = 1.4) Slow magnetosonic shock (γ = 1.4)

Variable Left state Right state Left state Right state

ρ (g/cm3 ) 1.0 × 10−2 6.60865 × 10−2 3.06495 × 10−2 8.82626 × 10−2
Tg, Tr (K) 1.0 × 104 4.14098 × 107 3.83849 × 106 7.47109 × 106
vx (cm/s) 1.0 × 109 1.51157 × 108 5.0 × 107 1.73627 × 107
vy (cm/s) 5.0 × 108 5.02805 × 108 5.0 × 106 −3.94698 × 107
vɀ (cm/s) 2.0 × 106 8.77613 × 105 2.0 × 106 1.08940 × 107
Bx (Gauss) 3.54491 × 106 3.54491 × 106 3.54491 × 107 3.54491 × 107
By (Gauss) 1.77245 × 107 1.17215 × 108 3.54491 × 107 1.12909 × 107
Bɀ (Gauss) −7.08982 × 106 −4.68853 × 107 −7.08982 × 106 −2.25819 × 106
p (erg/cm3) 1.65088 × 1010 4.52107 × 1014 1.94203 × 1013 1.08851 × 1014
E (erg/cm3 ) 7.56570 × 101 2.22465 × 1016 1.64244 × 1012 2.35713 × 1013
β 1.10059 × 10−3 7.11318 × 10−1 1.90414 × 10−1 1.96925 × 100
Ms 3605.09235 67.36428 2.48298 0.55544
Ma 100 38.85895 0.87535 0.51583
Mf 18.25063 0.89141 0.59183 0.38805

L (cm) 105 105

Intermediate magnetosonic shock (γ = 1.4) Slow switch-off shock (γ = 1.4)

Variable Left state Right state Left state Right state

ρ (g/cm3 ) 1.16963 × 10−4 4.39947 × 10−4 7.96933 × 10−3 3.06381 × 10−2
Tq, Tr (K) 3.46709 × 105 5.94400 × 106 6.14135 × 103 1.12616 × 107
vx (cm/s) 9.82668 × 107 2.61249 × 107 3.98682 × 107 1.03724 × 107
vy (cm/s) −1.74756 × 108 −6.48489 × 107 3.22643 × 106 −1.43474 × 108
vɀ (cm/s) 3.61511 × 108 1.41697 × 108 4.95596 × 106 2.94061 × 107
Bx (Gauss) 3.54491 × 106 3.54491 × 106 1.26166 × 107 1.26166 × 107
By (Gauss) −3.77898 × 106 6.99041 × 105 4.64246 × 107 0.0
Bɀ (Gauss) 7.55796 × 106 −1.39808 × 106 −7.73743 × 106 0.0
p (erg/cm3) 6.69468 × 109 4.31669 × 1011 8.07981 × 109 5.69535 × 1013
E (erg/cm3 ) 1.09323 × 108 9.44419 × 1012 1.07623 × 101 1.25792 × 1014
β 2.00356 × 10−3 7.22803 × 10−1 8.55309 × 10−5 8.99233 × 100
Ms 28.39485 0.54797 129.24135 0.51006
Ma 1.06275 0.50139 1 0.51006
Mf 0.41088 0.47132 0.25892 0.20330

L (cm) 105 106

Notes. The above table shows initial states for radiation-modified shocks that satisfy the Rankine-Hugoniot relations for RMHD, and length of computational domain for each case. The Mach numbers marked in bold are those that jump from higher than 1 to lower than 1 across the shock.

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