On the structure of the transition disk around TW Hydrae

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Table 5

Parameter values and estimated uncertainties for the best fit of the different models.

		Simple disk		+ Rounded rim			+ Concentrated large grains
	x _best	⟨ x ⟩	σ _x	x _best	⟨ x ⟩	σ _x	x _best	⟨ x ⟩	σ _x

Simple disk
Inner radius R_in (AU)	0.70	0.68	0.04	0.54	0.52	0.09	0.32	0.35	0.10
Outer radius R_out (AU)	56.1	56.8	1.7	56.3	57.1	1.6	61.7	60.8	1.9
Dust mass M_dust (M_⊙)^a	1.8 × 10^-4	1.6 × 10^-4		1.9 × 10^-4	1.9 × 10^-4	0.3 × 10^-4
→ M _{dust,< 100 μm}							4.6 × 10^-5	5.2 × 10^-5
→ M _{dust,> 100 μm}							5.0 × 10^-5	4.4 × 10^-5
Surfdens. pow. p	0.27	0.32	0.09	0.31	0.48	0.18	0.5	0.6	0.2
Max. grain size a_max (μm)	10⁴	≥ 10³	–	10⁴	–		10³	–
Turb. mix strength α	0.8 × 10^-5	1.9 × 10^-5		0.5 × 10^-5	0.9 × 10^-5		1.0 × 10^-5	–

+ Rounded rim
Transition radius R_exp (AU)		/		3.1	3.3	0.6	3.1	3.1	0.5
Rim width parameter w				0.52	0.49	0.10	0.45	0.45	0.06

+ Concentrated large grains
Surfdens. pow. large p_{> 100 μm}		/			/		1.3	1.4	0.2

Notes. The values x_best, ⟨ x ⟩, and σ_x correspond to the parameter value for the best-fitting model, the parameter value averaged over the marginal probability distribution (i.e., the expectation value), and the corresponding 1σ error (i.e., ).

^(a)

M_{dust,< 100 μm} and M_{dust,> 100 μm} are the masses of the dust grains smaller and larger than 100 μm, respectively. Only for the final model run (with a separate distribution of the > 100-μm grains) the total dust mass parameter M_dust was decoupled into these two fit parameters.

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