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Table 1
Input parameters.
Parameter | Value | Unit | Reference | |
Solar activity | Reference cycle | Solar cycle 23 | ||
cycle length | 12.5 | [year] | ||
Time step | 1 | [day] | ||
Time step random dispersion | 4 | [hour] | ||
Wolf number normalization | n0 = 1.32 | |||
n1 = 0.148 | ||||
Wolf number random dispersion | d0 = 6.922 | |||
d1 = 0.7594 | ||||
d2 = −0.00348 | ||||
Spatio-temporal | Mean start latitude | ± 22 | [°] | |
distribution | Mean end latitude | ± 9 | [°] | |
Standard lat. dispersion | 6 | [°] | ||
Max. lat. dispersion | 20 | [°] | ||
North/south asymmetry | 0.5 | − | ||
Active longitude spot fraction | 0.4 | − | ||
Active longitude extension area | ± 20 | [°] | ||
Large scale dynamics | Spot differential rotation | ω0 = 14.523 | [°/day] | Ward (1966) |
ω1 = −2.688 | [°/day] | This paper | ||
ω2 = 0 | [°/day] | This paper | ||
Facula and network | ωb0 = 14.562 | [°/day] | Meunier (2005) | |
differential rotation | ωb1 = −2.04 | [°/day] | This paper | |
ωb2 = −1.49 | [°/day] | This paper | ||
Meridional flow, all structures | α = 12.9 | [m s-1] | Komm et al. (1993) | |
β = 1.4 | [m s-1] | This paper | ||
Stellar radius | 1 R⊙ = 696 400 | [km] | ||
Spots properties | ||||
Isolated spots | ||||
Total fraction | 0.4 | − | Martinez Pillet et al. (1993) | |
Mean initial size | 46.51a | [μHem] | Baumann & Solanki (2005)b | |
Standard size deviation | 2.14 | [μHem] | This paper | |
Max. size | 1500 | [μHem] | Papers I and II | |
Mean decay | −18.9 | [μHem/day] | Martinez Pillet et al. (1993)c | |
Median decay | −14.8 | [μHem/day] | This paper | |
Complex spot groups | ||||
Total fraction | 0.6 | − | Martinez Pillet et al. (1993) | |
Mean initial size | 90.24a | [μHem] | Baumann & Solanki (2005)d | |
Standard size deviation | 2.49 | [μHem] | This paper | |
Max. size | 5000 | [μHem] | Papers I and II | |
Mean decay | −41.3 | [μHem/day] | Martinez Pillet et al. (1993)e | |
Median decay | −30.9 | [μHem/day] | This paper | |
Both spot types | ||||
Min. decay value | −3 | [μHem/day] | ||
Max. decay value | −200 | [μHem/day] | ||
Min. spot size | 10 | [μHem] | Papers I and II | |
Faculae properties | q (facula-to-spot ratio) | |||
Mean log(q) | 0.8 | − | ||
Standard deviation (log(q)) | 0.4 | − | ||
Min.- Max. log(q) | 0.1–5 | − | ||
Mean decay | −27 | [μHem/day] | ||
Median decay | −20 | [μHem/day] | ||
Min. facula size | 3 | [μHem] | Papers I and II | |
Network properties | Diffusion coefficient | 300 | [km2 s-1] | Schrijver (2001) |
Remainder fraction for decay | 0.975 | [ /day] | ||
Min. size | 3 | [μHem] | Papers I and II | |
Facula fraction recovered in network | 0.8 | − |
Notes. Free parameters are given in italics.
(a)
For these two parameters, the value taken from Baumann & Solanki (2005) was multiplied by a factor 1.54 to better fit the spot catalogs used in Papers I and II.
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