All Tables

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.
Table 2: Times for the different phases in the evolution of the perturbed jet models. $t_{\rm lin}$ : end of linear phase (the amplitudes of the different quantities are not constant any longer). $t_{\rm sat}$ : end of saturation phase (the amplitude of the transverse speed perturbation reaches its maximum). $t_{\rm mix}$ : the tracer starts to spread. $t_{\rm peak}$ : the peak in the amplitude of the pressure perturbation is reached. $t_{\rm fmix}$ : external material reaches the jet axis. $t_{\rm mex}$ : the jet has transferred to the ambient a 1% of its initial momentum. $t_{\rm meq}$ : longitudinal momentum in the jet and the ambient reach equipartition. $\Delta _{\rm peak}$ : relative value of pressure oscillation amplitude at the peak (see Fig. 1 of Paper I). Note that, as a general trend, $t_{\rm lin} < t_{\rm mex} \approx t_{\rm mix} <t_{\rm sat} <t_{\rm peak} <t_{\rm fmix} < t_{\rm meq}$ .
Table A.1: Times for different phases in the evolution of simulations C16, C32, C64 and C128. See Table 2 for the meaning of the times at the table entries.