Time evolution of the slopes of the M_d − M_* and $\dot{M}-M_{\star }$ correlations, λ_m and λ_acc (blue and orange solid line, respectively) in the hybrid scenario with α_SS = α_DW = 10⁻³ (ψ = 1), λ = 3, β = 0.5, resulting in ξ = 0.11. The dashed lines represent the expected evolved value of both slopes, as in Equation (12). For comparison, we include the viscous evolution as well, represented by grey solid (actual evolution) and dashed (expected evolved value) lines (see Somigliana et al. 2022 for a detailed discussion). The three panels show different values of μ₀, slope of the t_acc,0 − M_* correlation, which is directly linked to the difference between λ_m,0 and λ_acc,0 (see text for details): we expect the slopes to (i) decrease if μ₀ < 0 (left panel), (ii) remain constant if μ₀ = 0 (central panel), and (iii) increase if μ₀ > 0 (right panel). Contrary to the viscous case, the slopes are not expected to reach the same value anymore, but rather settle to a constant difference of −ξ/2. This difference is always negative, meaning that the evolved $\dot{M}-M_{\star }$ correlation is always steeper than that of M_d–M_* (explaining the lines crossing in the right panel).