Table 1: Equilibrium parameters of different simulated jet models along with solutions of the dispersion relation (23) in Paper I, corresponding to fastest growing first reflection mode, taken as input parameters for numerical simulations. The primes are used to assign wavenumber and complex frequency in the reference frame comoving with jet. The listed equilibrium parameters are: $\gamma $ - jet Lorentz factor, $\rho _{\rm0j}$ - rest mass density, $\varepsilon _{\rm j}$ and $\varepsilon _{\rm a}$ - specific internal energies of jet and ambient medium, $c_{\rm sj}$, $c_{\rm sa}$ - the sound speeds in jet and ambient medium, p - pressure, $\nu $$\eta $ - relativistic density and enthalpy contrasts and $M_{\rm j}$ - the jet Mach number. All the quantities in the table, except the last column, are expressed in units of the ambient density, $\rho _{\rm0a}$, the speed of light, c, and the jet radius, $R_{\rm j}$. Parameters for the new set of simulations are shown in the lower part of the table.
Model $\gamma $ $\rho _{\rm0j}$ $\varepsilon _{\rm j}$ $\varepsilon _{\rm a}$ $c_{\rm sj}$ $c_{\rm sa}$ p $\nu $ $\eta $ $M_{\rm j}$ $k_{\parallel}$ $ \omega_{r}$ $\omega_{i}$ ${k'_\parallel}$ $\omega'_{r}$ $\omega'_{i}$ $ k_{\rm j\perp}$ $ k_{\rm a\perp} $ ${\omega'}^{\rm dyn}_i$
${\rm A05}$ 5 0.1 0.08 0.008 0.18 0.059 0.0027 0.11 0.11 5.47 0.30 0.20 0.026 1.32 7.20 0.13 7.08 0.53 0.73
B05 5 0.1 0.42 0.042 0.35 0.133 0.014 0.14 0.15 2.83 0.69 0.49 0.055 2.62 7.32 0.28 6.84 1.08 0.79
C05 5 0.1 6.14 0.614 0.55 0.387 0.205 0.44 0.51 1.80 2.00 1.60 0.114 5.73 9.98 0.57 8.17 1.07 1.05
D05 5 0.1 60.0 6.000 0.57 0.544 2.000 0.87 0.90 1.71 2.63 2.18 0.132 7.02 11.56 0.66 9.18 0.24 1.15
B10 10 0.1 0.42 0.042 0.35 0.133 0.014 0.14 0.15 2.88 0.50 0.41 0.031 3.59 10.28 0.31 9.64 0.94 0.90
C10 10 0.1 6.14 0.614 0.55 0.387 0.205 0.44 0.51 1.83 1.91 1.72 0.055 9.77 17.67 0.55 14.72 1.49 1.01
D10 10 0.1 60.0 6.000 0.57 0.544 2.000 0.87 0.90 1.73 2.00 1.81 0.063 9.67 16.58 0.63 13.47 0.20 1.10
B20 20 0.1 0.42 0.042 0.35 0.133 0.014 0.14 0.15 2.89 0.46 0.39 0.014 6.51 18.76 0.28 17.60 0.90 0.81
C20 20 0.1 6.14 0.614 0.55 0.387 0.205 0.44 0.51 1.83 1.44 1.37 0.027 13.89 25.38 0.54 21.24 1.28 0.99
D20 20 0.1 60.0 6.000 0.57 0.544 2.000 0.87 0.90 1.74 2.00 1.91 0.029 18.11 31.43 0.58 25.68 0.31 1.01
F 5 0.01 0.77 0.008 0.41 0.058 0.0026 0.018 0.02 2.38 0.46 0.53 0.14 1.23 2.83 0.70 2.55 3.72 1.70
G 5 0.001 7.65 0.008 0.55 0.058 0.0026 0.009 0.01 1.78 0.66 0.53 0.15 1.87 3.22 0.75 2.62 4.99 1.36
H 5 0.0001 76.5 0.008 0.57 0.058 0.0026 0.008 0.01 1.71 0.66 0.48 0.15 1.95 3.23 0.75 2.57 4.71 1.31
I 11.7 0.01 0.77 0.008 0.41 0.058 0.0026 0.018 0.02 2.42 0.30 0.50 0.07 1.11 2.66 0.82 2.42 3.52 1.99
J 15.7 0.001 7.65 0.008 0.55 0.058 0.0026 0.009 0.01 1.81 0.35 0.44 0.058 1.70 3.05 0.91 2.53 4.16 1.65
K 15.7 0.01 0.77 0.008 0.41 0.058 0.0026 0.018 0.02 2.43 0.30 0.55 0.054 1.17 2.80 0.85 2.55 3.87 2.06
L 11.7 0.001 7.65 0.008 0.55 0.058 0.0026 0.009 0.01 1.81 0.30 0.31 0.069 1.52 2.72 0.81 2.26 2.93 1.47


Source LaTeX | All tables | In the text