All Tables

Table 1: Equilibrium parameters of different simulated jet models along with solutions of the dispersion relation (23), corresponding to fastest growing first reflection mode, taken as input parameters for numerical simulations. The meaning of the symbols is as follows: $\gamma$ : jet flow Lorentz factor; $\varepsilon$ : specific internal energy; $c_{\rm s}$ : sound speed; p: pressure; $\nu$ : jet-to-ambient relativistic rest mass density contrast; $\eta$ : jet-to-ambient enthalpy contrast; $M_{\rm j}$ : internal jet Mach number; $k_{\parallel , \perp }$ : longitudinal/transverse wavenumbers; $\omega _{r,i}$ : real/imaginary part of the wave frequency. Labels aand j refer to ambient medium and jet, respectively. The primes are used to assign wavenumber and complex frequency in the reference frame comoving with jet. The last column shows the linear growth rate of KH instability in the jet reference frame expressed in dynamical time units, i.e. in which time is scaled to $R_{\rm j}/c_{\rm sj}$ . 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, $R_{\rm j}$ .
Table 2: Times for the different phases in the evolution of the perturbed jet models. In Cols. 2-4 we show: $t_{\rm lin}$ - end of linear phase (the ratios of 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), $t_{\rm peak}$ - the peak in the amplitude of the pressure perturbation is reached. (see Fig. 2). Note that, as a general trend, $t_{\rm lin} < t_{\rm sat} \leq t_{\rm peak}$ . In Col. 5 we show the saturation time in dynamical time units and in the jet reference frame.