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Radiative Transfer in Protoplanetary Disks

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R<strong>in</strong>g Radius (AU)<br />

100.00<br />

10.00<br />

1.00<br />

0.10<br />

0.01<br />

Inner radius ot T Tauri stars<br />

Radii <strong>in</strong>ferred from <strong>in</strong>terferometry larger than predicted<br />

HAe Objects<br />

HBe Objects<br />

TTS Objects<br />

Sublimation radius: direct dust heat<strong>in</strong>g, backwarm<strong>in</strong>g<br />

Sublimation radius: direct dust heat<strong>in</strong>g, no backwarm<strong>in</strong>g<br />

Sublimation radius: standard model<br />

CTTS<br />

10 0<br />

10 0<br />

10 0<br />

Sublimation radius<br />

Herbig Ae<br />

10 2<br />

10 2<br />

10 2<br />

Lstar + Laccretion (Lsolar)<br />

10 4<br />

10 4<br />

10 4<br />

1000K 1000K 1000K<br />

1000K 1000K<br />

1500K 1500K 1500K<br />

1500K 1500K 1500K<br />

1000K 1000K 1000K<br />

1500K 1500K 1500K<br />

10 6<br />

10 6<br />

10 6<br />

Star<br />

accretional<br />

Direct heat<strong>in</strong>g of <strong>in</strong>ner dust disk<br />

heat<strong>in</strong>g? lower<br />

sublimation<br />

optically!th<strong>in</strong> gas<br />

temperature?<br />

(magnetospheric<br />

accretion?)<br />

smaller dust<br />

gra<strong>in</strong>s?<br />

photoevaporation?<br />

optically!thick<br />

gas<br />

magnetospheric<br />

Dust Sublimation<br />

truncation?<br />

(puffed!up<br />

<strong>in</strong>ner wall?)<br />

Dust Sublimation<br />

Radius R s<br />

"Standard" Disk Model ! oblique disk heat<strong>in</strong>g<br />

Star<br />

(magnetospheric<br />

accretion?)<br />

Radius R s<br />

scattered light?<br />

Fig. 2.— Measured sizes of HAeBe and T Tauri objects vs. central lum<strong>in</strong>osity (stellar + accretion shock); and com<br />

sublimation Millan-Gabet radii for dust directly et heated heatedal by by2006 the central lum<strong>in</strong>osity (solid and dashed l<strong>in</strong>es) and for the oblique heat<strong>in</strong>g i<br />

classical models (dotted l<strong>in</strong>e). A schematic representation ofthekeyfeaturesof<strong>in</strong>nerdiskstructure<strong>in</strong>thesetwoclasses<br />

f<br />

flared flared flared disk disk disk

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