Top panels: Central slice showing the distribution of gas density (in units of [part/cm³]) for the clusters simulation analysed in the main article, and for a β-model of the Coma cluster instead. Lower panels: Distribution of the amplitude of the gas velocity field (in units of [km/s] for the same cosmological simulation (left) or for a 3-dimensional velocity field generated in Fourier space so that it follows the Kolmogorov spectrum for homogenous and stationary turbulence. Each panel has a side 1.6 Mpc.