Properties of the hot (T > 3 × 10⁴ K) CGM gas according to its t_cool/t_ff ratio. Left: distribution of t_cool/t_ff at two different redshifts, z = 0.3 (solid line) and z = 1 (dashed line). The different colors indicate gas belonging to different radial distance bins, while the shaded regions highlight the t_cool/t_ff < 1 criterion for precipitation-regulated feedback, and the less stringent t_cool/t_ff < 10 condition. Right: distribution of hot CGM gas at z = 0.3 in the n-T phase diagram, color-coded by the average value of t_cool/t_ff. The contour lines show the t_cool/t_ff = 1 and 10 boundaries.