Table 3
Dynamical properties of DARWIN models for C-type AGB stars of solar mass at three different metallicities (solar, LMC, and SMC).
| Model parameters | Solar | LMC | SMC |  |
||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| logL*∕L⊙ | T* | [C–O] | up |  |
⟨u1⟩ | ⟨Ṁ2⟩ | ⟨u2⟩ | ⟨Ṁ3⟩ | ⟨u3⟩ | Ṁ12 | Ṁ13 | Ṁ23 |
| (K) | (km s−1) | (M⊙ yr−1) | (km s−1) | (M⊙ yr−1) | (km s−1) | (M⊙ yr−1) | (km s−1) | |||||
| 3.70 | 2600 | 8.5 | 4 | 1.6e-06 | 21.9 | 1.4e-06 | 20.9 | 0.06 | ||||
| 3.70 | 2600 | 8.5 | 6 | 3.1e-06 | 22.2 | 3.4e-06 | 21.4 | 3.2e-06 | 22.2 | − 0.04 | − 0.01 | 0.03 |
| 3.70 | 2600 | 8.8 | 2 | 3.3e-07 | 18.9 | 2.4e-07 | 16.8 | 2.8e-07 | 17.9 | 0.14 | 0.07 | − 0.07 |
| 3.70 | 2600 | 8.8 | 4 | 3.0e-06 | 21.3 | 3.2e-06 | 21.0 | 3.1e-06 | 20.0 | − 0.03 | − 0.01 | 0.01 |
| 3.70 | 2600 | 8.8 | 6 | 4.6e-06 | 19.1 | 4.3e-06 | 18.4 | 4.8e-06 | 18.3 | 0.03 | − 0.02 | − 0.05 |
| 3.70 | 2800 | 8.5 | 6 | 1.3e-06 | 18.5 | 1.3e-06 | 21.3 | 1.3e-06 | 20.6 | 0.00 | 0.00 | 0.00 |
| 3.70 | 2800 | 8.8 | 4 | 4.5e-07 | 27.5 | 4.6e-07 | 27.8 | 4.9e-07 | 25.0 | − 0.01 | − 0.04 | − 0.03 |
| 3.70 | 2800 | 8.8 | 6 | 1.9e-06 | 20.4 | 3.3e-06 | 24.4 | 2.8e-06 | 21.3 | − 0.24 | − 0.17 | 0.07 |
| 3.70 | 3000 | 8.8 | 6 | 3.5e-07 | 24.5 | 3.8e-07 | 22.5 | 3.9e-07 | 21.6 | − 0.04 | − 0.05 | − 0.01 |
| 3.85 | 2600 | 8.5 | 4 | 1.9e-06 | 21.9 | 1.9e-06 | 21.2 | 1.9e-06 | 21.2 | 0.00 | 0.00 | 0.00 |
| 3.85 | 2600 | 8.5 | 6 | 1.7e-06 | 12.0 | 2.2e-06 | 11.9 | 2.5e-06 | 12.3 | − 0.11 | − 0.17 | − 0.06 |
| 3.85 | 2600 | 8.8 | 2 | 2.9e-06 | 29.1 | 3.5e-06 | 25.6 | 3.6e-06 | 26.0 | − 0.08 | − 0.09 | − 0.01 |
| 3.85 | 2600 | 8.8 | 4 | 6.1e-06 | 21.5 | 6.1e-06 | 21.0 | 6.3e-06 | 21.6 | 0.00 | − 0.01 | − 0.01 |
| 3.85 | 2600 | 8.8 | 6 | 4.9e-06 | 24.7 | 5.6e-06 | 23.4 | 5.1e-06 | 25.1 | − 0.06 | − 0.02 | 0.04 |
| 3.85 | 2800 | 8.5 | 4 | 1.6e-06 | 20.8 | 1.5e-06 | 21.8 | 0.03 | ||||
| 3.85 | 2800 | 8.5 | 6 | 2.7e-06 | 20.0 | 3.0e-06 | 18.5 | 3.1e-06 | 19.4 | − 0.05 | − 0.06 | − 0.01 |
| 3.85 | 2800 | 8.8 | 4 | 3.5e-06 | 21.6 | 3.7e-06 | 21.0 | 3.6e-06 | 21.5 | − 0.02 | − 0.01 | 0.01 |
| 3.85 | 2800 | 8.8 | 6 | 5.3e-06 | 20.5 | 6.4e-06 | 19.3 | 6.2e-06 | 20.7 | − 0.08 | − 0.07 | 0.01 |
| 3.85 | 3000 | 8.5 | 6 | 1.2e-06 | 15.7 | 1.3e-06 | 20.3 | 1.2e-06 | 20.0 | − 0.03 | 0.00 | 0.03 |
| 3.85 | 3000 | 8.8 | 4 | 5.4e-07 | 23.2 | 5.8e-07 | 25.5 | 3.2e-07 | 14.9 | − 0.03 | 0.22 | 0.26 |
| 3.85 | 3000 | 8.8 | 6 | 2.8e-06 | 18.9 | 2.8e-06 | 19.0 | 3.0e-06 | 16.7 | 0.00 | − 0.03 | − 0.03 |
| 3.85 | 3200 | 8.8 | 6 | 5.1e-07 | 24.4 | |||||||
| 4.00 | 2600 | 8.2 | 4 | 1.4e-06 | 3.8 | 1.6e-06 | 4.2 | 2.0e-06 | 5.2 | − 0.06 | − 0.15 | − 0.10 |
| 4.00 | 2600 | 8.2 | 6 | 3.8e-06 | 6.3 | 4.0e-06 | 7.5 | 4.1e-06 | 5.9 | − 0.02 | − 0.03 | − 0.01 |
| 4.00 | 2600 | 8.5 | 2 | 1.4e-06 | 16.0 | 1.4e-06 | 16.2 | 1.2e-06 | 15.8 | 0.00 | − 0.07 | − 0.07 |
| 4.00 | 2600 | 8.5 | 4 | 3.4e-06 | 15.9 | 3.8e-06 | 15.8 | 4.1e-06 | 17.5 | − 0.05 | − 0.08 | − 0.03 |
| 4.00 | 2600 | 8.5 | 6 | 5.8e-06 | 16.5 | 6.0e-06 | 16.2 | 6.3e-06 | 15.8 | − 0.01 | − 0.04 | − 0.02 |
| 4.00 | 2600 | 8.8 | 2 | 8.0e-06 | 30.3 | 7.6e-06 | 32.3 | 8.3e-06 | 31.2 | 0.02 | − 0.02 | − 0.04 |
| 4.00 | 2600 | 8.8 | 4 | 8.9e-06 | 29.5 | 1.0e-05 | 28.0 | 8.4e-06 | 29.7 | − 0.05 | 0.03 | 0.08 |
| 4.00 | 2600 | 8.8 | 6 | 1.5e-05 | 25.7 | 1.6e-05 | 27.1 | 1.6e-05 | 25.8 | − 0.03 | − 0.03 | 0.00 |
| 4.00 | 2800 | 8.2 | 6 | 1.4e-06 | 0.9 | 1.8e-06 | 2.9 | 2.2e-06 | 3.3 | − 0.11 | − 0.20 | − 0.09 |
| 4.00 | 2800 | 8.5 | 4 | 2.2e-06 | 21.2 | 2.4e-06 | 19.4 | 2.5e-06 | 19.6 | − 0.04 | − 0.06 | − 0.02 |
| 4.00 | 2800 | 8.5 | 6 | 3.2e-06 | 8.1 | 4.3e-06 | 10.1 | 4.6e-06 | 10.5 | − 0.13 | − 0.16 | − 0.03 |
| 4.00 | 2800 | 8.8 | 2 | 2.4e-06 | 40.3 | 3.4e-06 | 33.4 | 3.5e-06 | 34.0 | − 0.15 | − 0.16 | − 0.01 |
| 4.00 | 2800 | 8.8 | 4 | 8.8e-06 | 26.0 | 8.9e-06 | 26.3 | 1.1e-05 | 25.5 | − 0.00 | − 0.10 | − 0.09 |
| 4.00 | 2800 | 8.8 | 6 | 8.3e-06 | 26.2 | 9.4e-06 | 26.0 | 1.1e-05 | 24.2 | − 0.05 | − 0.12 | − 0.07 |
| 4.00 | 3000 | 8.2 | 6 | 9.4e-07 | 1.7 | |||||||
| 4.00 | 3000 | 8.5 | 4 | 1.1e-06 | 12.3 | 1.6e-06 | 19.9 | − 0.16 | ||||
| 4.00 | 3000 | 8.5 | 6 | 2.0e-06 | 16.7 | 2.0e-06 | 13.3 | 3.0e-06 | 14.3 | 0.00 | − 0.18 | − 0.18 |
| 4.00 | 3000 | 8.8 | 4 | 4.4e-06 | 27.9 | 6.1e-06 | 23.7 | 6.5e-06 | 24.0 | − 0.14 | − 0.17 | − 0.03 |
| 4.00 | 3000 | 8.8 | 6 | 6.0e-06 | 19.2 | 8.5e-06 | 23.2 | 8.9e-06 | 22.6 | − 0.15 | − 0.17 | − 0.02 |
| 4.00 | 3200 | 8.8 | 4 | 6.8e-07 | 27.4 | 7.3e-07 | 26.2 | 5.2e-07 | 31.2 | − 0.03 | 0.12 | 0.15 |
| 4.00 | 3200 | 8.8 | 6 | 3.7e-06 | 16.9 | 5.6e-06 | 12.9 | 5.8e-06 | 18.1 | − 0.18 | − 0.20 | − 0.02 |
| Average | − 0.05 | − 0.06 | − 0.01 | |||||||||
Notes. Columns 1–4 list input parameters (stellar luminosity, effective temperature, carbon excess and piston velocity). Columns 5–10 list the dynamical properties (mass-loss rate and wind velocity) of DARWIN models with three different metallicities (solar, LMC and SMC). Columns 11–13 list the differences in logarithmic mass-loss rates for models with the same input parameters but different metallicites. Note that all models have a current mass of one solar mass, fL = 2 and pulsation periods given by the period-luminosity relation in Feast et al. (1989).
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