Specific star formation rate distributions derived from model m₄, for galaxies with a stellar mass in the range: 10 < log ₁₀(M_⋆) < 10.33. The purple solid histogram shows the distribution of galaxies in the steady state mode (SFR ∝ accretion rate). Such a distribution contains main sequence (MS) and quiescent galaxies (sSFR/SFR_MS< 0.1 in our study). The purple dashed-line histogram shows the distribution of the sSFR for galaxies with post-merger star-formation activity (PMSB) (Eq. (6) and following ). At z = 2 we compare our results with Sargent et al. (2012) measurements in which the quiescent population have been removed (grey solid line). For a better comparison with these observational measurements, we add a log-normal distribution as a black solid line adjusted only on our MS galaxy population. We have removed all galaxies with sSFR/SFR_MS< 0.1. We see that model m₄ is in very good agreement with the MS distribution but over-predicts the number of galaxy in the post-merger starburst mode (0.4 dex).