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Table 3

Final properties of models with self-regulated Bondi accretion with an initial SMBH mass of 105   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 2.43 0.06 0.002 6.72 × 10-4 18.98 10.94 8.50 0.00 11.51 3.49
2.5 0.25 0.01 2.41 0.07 0.026 1.06 × 10-2 18.94 10.70 8.37 0.00 11.24 3.76
2.5 0.25 0.001 2.36 0.07 0.071 3.02 × 10-2 18.93 10.64 8.31 0.00 11.18 3.82
5.0 0.5 0.1 4.93 0.07 0.003 6.39 × 10-4 19.39 12.36 10.06 0.00 12.91 2.09
5.0 0.5 0.01 4.88 0.07 0.044 9.01 × 10-3 19.35 12.11 9.90 0.00 12.62 2.38
5.0 0.5 0.001 4.81 0.07 0.113 2.35 × 10-2 19.34 12.09 9.88 0.00 12.60 2.40
M2 = 50
12.5 0.25 0.1 11.32 1.17 0.006 5.51 × 10-4 19.45 10.61 8.16 0.00 11.55 3.45
12.5 0.25 0.01 11.23 1.19 0.071 6.36 × 10-3 19.43 10.47 8.09 0.00 11.39 3.61
12.5 0.25 0.001 11.10 1.20 0.192 1.73 × 10-2 19.42 10.44 8.06 0.00 11.37 3.63
25.0 0.5 0.1 24.19 0.78 0.014 5.60 × 10-4 19.86 12.23 9.92 2.32 10.63 2.05
25.0 0.5 0.01 24.06 0.79 0.130 5.41 × 10-3 19.83 12.09 9.84 2.32 10.48 2.21
25.0 0.5 0.001 23.90 0.79 0.297 1.24 × 10-2 19.83 12.09 9.83 2.28 10.51 2.21
M3 = 100
25.0 0.25 0.1 23.18 1.79 0.012 5.31 × 10-4 19.65 10.60 8.14 0.00 11.58 3.42
25.0 0.25 0.01 23.06 1.81 0.119 5.16 × 10-3 19.63 10.49 8.09 0.00 11.45 3.55
25.0 0.25 0.001 22.87 1.82 0.300 1.31 × 10-2 19.63 10.47 8.07 0.00 11.44 3.56
50.0 0.5 0.1 48.44 1.50 0.026 5.42 × 10-4 20.06 12.19 9.86 3.34 9.64 2.02
50.0 0.5 0.01 48.24 1.52 0.212 4.40 × 10-3 20.04 12.08 9.80 3.33 9.52 2.15
50.0 0.5 0.001 48.00 1.52 0.452 9.42 × 10-3 20.04 12.08 9.80 3.31 9.55 2.14
M4 = 500
125.0 0.25 0.1 116.05 8.82 0.059 5.07 × 10-4 20.12 10.39 7.88 2.52 9.35 3.13
125.0 0.25 0.01 115.67 8.85 0.407 3.52 × 10-3 20.10 10.33 7.85 2.51 9.28 3.21
125.0 0.25 0.001 115.21 8.86 0.868 7.54 × 10-3 20.10 10.32 7.84 2.49 9.29 3.22
250.0 0.5 0.1 240.70 9.02 0.123 5.10 × 10-4 20.53 12.03 9.66 5.14 8.03 1.82
250.0 0.5 0.01 240.15 9.03 0.681 2.84 × 10-3 20.51 11.97 9.63 5.14 7.97 1.89
250.0 0.5 0.001 239.57 9.06 1.238 5.17 × 10-3 20.51 11.98 9.63 5.13 7.98 1.89
M5 = 1000
250.0 0.25 0.1 222.92 26.81 0.114 5.12 × 10-4 20.31 10.10 7.54 3.31 9.21 2.48
250.0 0.25 0.01 222.41 26.71 0.741 3.33 × 10-3 20.30 10.05 7.51 3.31 9.08 2.61
250.0 0.25 0.001 221.73 26.64 1.504 6.78 × 10-3 20.30 10.05 7.51 3.30 9.07 2.63
500.0 0.5 0.1 471.96 27.48 0.238 5.05 × 10-4 20.72 11.86 9.45 5.78 7.78 1.44
500.0 0.5 0.01 471.01 27.55 1.167 2.48 × 10-3 20.71 11.82 9.43 5.77 7.71 1.52
500.0 0.5 0.001 470.12 27.60 2.021 4.30 × 10-3 20.71 11.82 9.43 5.77 7.71 1.52

Notes. See Note in Table 2 for description.

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