Top panel: probability distribution function of the dissipation rate along the lines of sight observed by JT11 averaged over 500 realisations of a simple and unclustered distribution of SNRs in the Galaxy (see Fig. 14) compared to that derived from the production and the excitation of neutral carbon in the standard model of interstellar shocks (see Fig. 10). Bottom panel: probability distribution function of the kinetic energy transfer rate derived from the observations of CO in molecular clouds located in the local ISM (Hennebelle & Falgarone 2012). All distributions shown in the top and bottom panels are normalised so that their integral is equal to one.