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Table 2

Final properties of models with self-regulated Bondi accretion with an initial SMBH mass of 108   M⊙. All masses are in units of 109   M⊙.

M inf α ϵ M ∗ M esc M BH MBH/M∗ log  ⟨ NH ⟩  ΔtCT Δtobs Δtunobs
M1 = 10
2.5 0.25 0.1 2.40 0.07 0.132 5.51 × 10-2 18.95 10.74 8.39 0.00 11.29 3.71
2.5 0.25 0.01 2.38 0.07 0.154 6.45 × 10-2 18.94 10.69 8.35 0.00 11.23 3.77
2.5 0.25 0.001 2.37 0.07 0.158 6.67 × 10-2 18.94 10.68 8.35 0.00 11.22 3.78
5.0 0.5 0.1 4.88 0.07 0.144 2.95 × 10-2 19.36 12.18 9.96 0.00 12.70 2.30
5.0 0.5 0.01 4.85 0.07 0.177 3.65 × 10-2 19.35 12.13 9.92 0.00 12.64 2.36
5.0 0.5 0.001 4.84 0.07 0.184 3.80 × 10-2 19.35 12.12 9.92 0.00 12.64 2.36
M2 = 50
12.5 0.25 0.1 11.23 1.20 0.167 1.49 × 10-2 19.43 10.51 8.11 0.00 11.45 3.55
12.5 0.25 0.01 11.12 1.21 0.257 2.32 × 10-2 19.42 10.45 8.07 0.00 11.39 3.61
12.5 0.25 0.001 11.07 1.23 0.289 2.61 × 10-2 19.42 10.45 8.06 0.00 11.38 3.62
25.0 0.5 0.1 24.10 0.79 0.190 7.90 × 10-3 19.84 12.15 9.87 2.31 10.55 2.14
25.0 0.5 0.01 23.96 0.80 0.328 1.37 × 10-2 19.83 12.10 9.84 2.29 10.51 2.20
25.0 0.5 0.001 23.92 0.80 0.370 1.55 × 10-2 19.83 12.10 9.84 2.29 10.52 2.20
M3 = 100
25.0 0.25 0.1 23.07 1.82 0.189 8.18 × 10-3 19.64 10.53 8.11 0.00 11.51 3.49
25.0 0.25 0.01 22.91 1.83 0.346 1.51 × 10-2 19.63 10.48 8.07 0.00 11.45 3.55
25.0 0.25 0.001 22.84 1.84 0.414 1.81 × 10-2 19.63 10.48 8.07 0.00 11.45 3.55
50.0 0.5 0.1 48.34 1.51 0.220 4.55 × 10-3 20.05 12.14 9.84 3.33 9.58 2.08
50.0 0.5 0.01 48.10 1.52 0.452 9.40 × 10-3 20.04 12.09 9.80 3.32 9.55 2.14
50.0 0.5 0.001 48.00 1.53 0.536 1.12 × 10-2 20.04 12.09 9.81 3.31 9.55 2.14
M4 = 500
125.0 0.25 0.1 115.84 8.91 0.273 2.36 × 10-3 20.11 10.37 7.87 2.51 9.33 3.15
125.0 0.25 0.01 115.38 8.87 0.776 6.73 × 10-3 20.10 10.32 7.84 2.50 9.29 3.21
125.0 0.25 0.001 114.95 8.97 1.104 9.61 × 10-3 20.10 10.32 7.84 2.48 9.31 3.21
250.0 0.5 0.1 240.57 9.03 0.349 1.45 × 10-3 20.52 12.01 9.65 5.14 8.01 1.84
250.0 0.5 0.01 239.84 9.06 1.048 4.37 × 10-3 20.51 11.98 9.63 5.13 7.98 1.89
250.0 0.5 0.001 239.42 9.12 1.407 5.88 × 10-3 20.52 11.98 9.63 5.12 7.99 1.89
M5 = 1000
250.0 0.25 0.1 222.85 26.74 0.350 1.57 × 10-3 20.31 10.09 7.53 3.31 9.18 2.50
250.0 0.25 0.01 222.06 26.68 1.216 5.48 × 10-3 20.30 10.05 7.51 3.30 9.08 2.61
250.0 0.25 0.001 220.80 27.16 1.994 9.03 × 10-3 20.30 10.04 7.50 3.28 9.10 2.62
500.0 0.5 0.1 471.83 27.47 0.476 1.01 × 10-3 20.72 11.85 9.44 5.78 7.77 1.45
500.0 0.5 0.01 470.52 27.66 1.613 3.43 × 10-3 20.71 11.82 9.43 5.77 7.71 1.52
500.0 0.5 0.001 469.62 27.85 2.336 4.97 × 10-3 20.71 11.83 9.43 5.77 7.72 1.52

Notes. The halo mass Mh is (1010,5 × 1010,1011,5 × 1011,1012)    M⊙ for models M1,M2,M3,M4, and M5, respectively. The total infall gas mass is Minf = αMh. MBH is the final SMBH mass (also with the contribution of the initial SMBH mass). M∗ is the final stellar mass. Mesc is the total escaped gas mass. The average column density is in cm-2. ΔtCT, Δtobs, and Δtunobs represent the duration (in Gyr) of the Compton-thick phase, the obscured phase, and the unobscured phase, respectively. Finally, and are the durations (in Gyr) measured assuming threshold temperatures of 105 K and 5 × 104 K, respectively.

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