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Table 1
Model parameters.
Parameter | Unit | Explanation |
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G = 5 × 10-15 | pc3 yr-1 ![]() |
gravitation constant |
κ | yr-1 | epicyclic frequency |
Q | Toomre parameter | |
R | pc | galactocentric radius |
H | pc | thickness of the gas disk |
H ∗ | pc | thickness of the stellar disk |
lcl | pc | cloud size |
vrot | pc yr-1 | rotation velocity |
Ω = vrot/R | yr-1 | angular velocity |
ΦV | volume-filling factor | |
ΦA = ΦVH/lcl | area-filling factor | |
ρ | M⊙ pc-3 | disk midplane gas density |
ρCNM | M⊙ pc-3 | cool neutral medium density |
ρcl = ρ/ ΦV | M⊙ pc-3 | cloud density |
![]() |
M⊙ pc-3 yr-1 | star-formation rate |
Σ | M⊙ pc-2 | gas surface density |
Σ∗ | M⊙ pc-2 | stellar surface density |
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M⊙ pc-2 yr-1 | star-formation rate |
ξ = 4.6 × 10-8 | pc2 yr-2 | constant relating SN energy input to SF |
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M⊙ yr-1 | disk mass accretion rate (radial, within the disk) |
vturb | pc yr-1 | gas turbulent velocity dispersion |
vrad | pc yr-1 | gas radial velocity |
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pc yr-1 | stellar vertical velocity dispersion |
cs | pc yr-1 | sound speed |
ℳ | Mach number | |
ν | pc2 yr-1 | viscosity |
fmol = ΣH2/ (ΣHI + ΣH2) | molecular fraction | |
α | yr M⊙ pc-3 | constant of molecule formation timescale |
ldriv | pc | turbulent driving length scale |
δ = 5 | scaling between the driving length scale and the size of the | |
largest self-gravitating structures | ||
![]() |
yr-1 | star-formation efficiency |
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yr | cloud free fall timescale at size l |
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yr | cloud turbulent timescale at size l (turbulent crossing time) |
![]() |
yr | cloud molecule formation timescale at size l |
Tg | K | gas temperature |
Td | K | dust temperature |
Notes. Boldface: free parameters; italic: parameters determined from observations.
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