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Table 1.
Merger rate densities and merger timescales for variations in the binary orbit parameters and AGN disc parameters.
| Initial eccentricity | Thermal distribution between [0.001, 0.99] | Uniform distribution between [0.001, 0.99] | δ-function e0 = 0.001 |
|---|---|---|---|
| τavg [years] | 2.4 × 108 | 2.5 × 108 | 1.8 × 109 |
| τmed [years] | 7.0 × 106 | 7.0 × 106 | 1.5 × 109 |
| ℛ [year−1 Gpc−3] | 0.18 | 9.5 × 10−2 | 3.0 × 10−6 |
| Orbital evolution | GW driven | GW and disc driven | |
| τavg [years] | 3.9 × 1021 | 2.4 × 108 | |
| τmed [years] | 2.5 × 1019 | 7.0 × 106 | |
| ℛ [year−1 Gpc−3] | 5.5 × 10−10 | 0.18 | |
| Initial semi-major axis | Log-flat distribution between [0.1, 100] AU | Uniform distribution between [0.1, 100] AU | |
| τavg [years] | 2.4 × 108 | 2.4 × 108 | |
| τmed [years] | 7.0 × 106 | 6.6 × 106 | |
| ℛ [year−1 Gpc−3] | 0.18 | 0.49 | |
| κ | 1.35 | 2.35 | 2.85 |
| τavg [years] | 2.4 × 108 | 2.4 × 108 | 2.4 × 108 |
| τmed [years] | 7.0 × 106 | 7.0 × 106 | 6.9 × 106 |
| ℛ [year−1 Gpc−3] | 0.12 | 0.18 | 0.20 |
| MSMBH | 1 × 106 M⊙ | 1 × 107 M⊙ | 1 × 108 M⊙ |
| τavg [years] | 3.2 × 109 | 2.4 × 108 | 1.8 × 107 |
| τmed [years] | 1.7 × 108 | 7.0 × 106 | 2.7 × 105 |
| ℛ [year−1 Gpc−3] | 4.0 × 10−2 | 0.18 | 0.75 |
| α | 0.01 | 0.1 | 0.3 |
| τavg [years] | 1.4 × 109 | 2.4 × 108 | 1.0 × 108 |
| τmed [years] | 6.2 × 107 | 7.0 × 106 | 2.4 × 106 |
| ℛ [year−1 Gpc−3] | 1.8 × 10−2 | 0.18 | 0.53 |
| fg | 0.05 | 0.1 | 0.5 |
| τavg [years] | 4.1 × 108 | 2.4 × 108 | 6.9 × 107 |
| τmed [years] | 1.4 × 107 | 7.0 × 106 | 1.5 × 106 |
| ℛ [year−1 Gpc−3] | 8.8 × 10−2 | 0.18 | 0.88 |
| h = H/r | 0.001 | 0.01 | 0.1 |
| τavg [years] | 8.5 × 107 | 2.4 × 108 | 6.8 × 106 |
| τmed [years] | 5.4 × 108 | 7.0 × 106 | 7.9 × 104 |
| ℛ [year−1 Gpc−3] | 1.8 × 10−3 | 0.18 | 17.6 |
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