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Table 1

Model parameters.

Parameter Unit Explanation

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
M pc-2 yr-1 star-formation rate
ξ = 4.6 × 10-8 pc2 yr-2 constant relating SN energy input to SF
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
pc yr-1 stellar vertical velocity dispersion
cs pc yr-1 sound speed
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
yr cloud free fall timescale at size l
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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