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:
- jet Lorentz
factor,
- rest mass density,
and
- specific internal energies of jet and ambient
medium,
,
- the sound speeds in jet and ambient
medium, p - pressure,
,
- relativistic density and
enthalpy contrasts and
- the jet Mach number. All the quantities
in the table, except the last column, are expressed in units of the
ambient density,
,
the speed of light, c, and the jet
radius,
.
Parameters for the new set of simulations are shown in
the lower part of the table.
Model |
 |
 |
 |
 |
 |
 |
p |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
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