Analysing the SEDs of protoplanetary disks with machine learning

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Volume 672 (April 2023)

A&A, 672 (2023) A30

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Table 1

All model parameters for single and two-zone models.

#	Name	Description	Sampling ⁽¹⁾	Function⁽²⁾	x_min	x_max	x_mean	x_std
		Stellar parameters
1	M_⋆	Mass of the star (M_⊙)	log₁₀(M_⋆)	Even⁽³⁾	log₁₀(0.2)	log₁₀(2.5)
2	Age	Age of the star (Myr)	log₁₀(Age)	Even⁽³⁾	log₁₀(0.5)	log₁₀(20)
3	T_eff	Effective stellar temperature (K)	log₁₀(T_eff)	Even⁽³⁾	Indirect⁽⁴⁾	Indirect⁽⁴⁾
4	L_⋆	Luminosity of the star (L_⊙)	log₁₀(L_⋆)	Even⁽³⁾	Indirect⁽⁴⁾	Indirect⁽⁴⁾
5	f_UV	Excess UV L_UV/L_⋆	log₁₀(f_UV)	Gauss	−3	−1	log₁₀(0.08)	log₁₀(0.12)
6	p_UV	Exponent of excess UV	log₁₀(p_UV)	Gauss	log₁₀(0.5)	log₁₀(2)	log₁₀(1.2)	0.4

		Dust parameters
7	α_min	Minimal dust grain size (µm)	log₁₀(α_min)	Gauss	−3	log₁₀(0.2)	log₁₀(0.03)	log₁₀(0.3)
8	α_max	Maximal dust grain size (µm)	log₁₀(α_max)	Gauss	log₁₀(300)	4	log₁₀(4000)	log₁₀(2)
9	α_pow	Exponent of dust size distribution	α_pow	Gauss	3	5	3.6	0.35
10	amC-Zubko	Amount of amorphous carbon	amC-Zubko	Gauss	0.05	0.3	0.18	0.05
11	α_settle	Viscosity parameter	log₁₀(α_settle)	Gauss	−5	−1	−3	0.8

		PAH parameters
12	f_PAH	Amount of PAHs relative to the ISM	log₁₀(f_PAH)	Gauss	−3.5	0	−1.5	0.9
13	PAH_charged	Amount of charged PAHs	PAH_charged	Even	0	1

		Disk parameters
14	M_disk	Disk mass (M_sun)	log₁₀(M_disk/M_⋆)	Gauss	−5	0	−2	0.8
15	R_in⁽⁵⁾	Inner disk radius (AU)	Tsub (K)⁽⁶⁾	Gauss	100	1677	1333	457
	R_in^(7,8)	Inner disk radius (AU)	R_in	Gauss	1	70	18	19
16	R_taper	Taper radius (AU)	log₁₀(R_taper)	Gauss	log₁₀(5)	log₁₀(350)	log₁₀(90)	log₁₀(5)
17	ϵ	Column density exponent N_H(r) ∝ r^−ϵ	6	Gauss	0	2.5	1	0.4
18	H₀	Scale height at 100 AU⁽⁹⁾ (AU)	H₀	Gauss	3	35	12	7
19	β	Flaring index⁽⁹⁾	β	Gauss	0.9	1.4	1.15	0.08

		Inner disk parameters
20	M_disk,2⁽⁸⁾	Disk mass (M_sun)	log₁₀(M_disk,2/M_disk)	Gauss	−7	−0.7	−4	1.3
21	ϵ₂⁽⁸⁾	Column density exponent N_H,2(r) ∝ r^−ϵ2	ϵ₂	Gauss	−1	2	0.7	0.7
22	H₂⁽⁸⁾	Scale height at 1 AU⁽¹⁰⁾ (AU)	H₂	Gauss	0.02	0.5	0.1	0.1
23	β₂⁽⁸⁾	Flaring index ⁽¹⁰⁾	β₂	Gauss	0.05	1.7	1.	0.26
24	R_in,2⁽⁸⁾	Inner radius (AU)	T_sub (K)⁽⁶⁾	Gauss	100	1677	1368	497
25	R_out,2⁽⁸⁾	Outer radius	log₁₀(R_out,2/R_in)	Gauss	−3	0	−0.48	0.8
26	α_max,2⁽⁸⁾	Maximal dust size	log₁₀(α_max,2/α_max,2)	Gauss	−4	0	−0.95	1.6
27	f_PAH,2⁽⁸⁾	Amount of PAHs	log(f_PAH,2/f_PAH)	Gauss	−3.5	0	−0.99	1.72

Notes. ⁽¹⁾ Sampled scale (linear or logarithmic) for the parameter or the ratio of the parameter to anotherone. ⁽²⁾Even (Eq. (1)) or Gaussian distribution (Eq. (2)). ⁽³⁾All single zone models are Evenly distributed in mass and age, while all two-zone models are evenly distributed in luminosity and temperature. The undetermined parameters are derived from evolutionary tracks (Siess et al. 2000) by a Neural Network. ⁽⁴⁾There are no boundaries for the stellar temperature and luminosity, but limits in stellar mass and age. They lead to indirect limits in temperature and luminosity through their relation in the HRD using pre-mainsequence tracks from Siess et al. (2000). ⁽⁵⁾Inner radius for single zone models. ⁽⁶⁾Using the stellar parameters and the sublimation temperature defines the radius (for details see Appendix B). ⁽⁷⁾Inner radius of the outer disk zone. ⁽⁸⁾Only applicable to two-zone models.⁽⁹⁾ .⁽¹⁰⁾ .

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