Rescaled entropy versus halo mass relation for four halos of 3 ⋅ 10¹³ M_⊙, 10¹⁴ M_⊙, 3 ⋅ 10¹⁴ M_⊙, and 10¹⁵ M_⊙ at z = 0 respectively. Filled lines have been computed assuming f_g follows Eq. (18), dashed ones assuming f_g = f_b. We note how baryon decoupling produces a break in self-similarity. The change in slope observed at small M_h/M_h, o values for the 3 ⋅ 10¹³ M_⊙ and 10¹⁴ M_⊙ at z = 0 halos is associated to the minimum in $\dot{M_{\mathrm{g}}}$, see Fig. 9. In the case of 3 ⋅ 10¹⁴ M_⊙ and 10¹⁵ M_⊙ at z = 0 profiles, the minimum occurs at smaller M_h/M_h, o values and falls outside the plotted range.