1. Riouhei Nakatani
Core2Disk III @ Institut Pascal, Paris-Saclay, France, 10/??/2023
Jet Propulsion Laboratory, California Institute of Technology
RIKEN
2. Debris disk/planetary system
(e.g., Solar System)
GMC, Dark Cloud
Clumps
Jet
Protostellar disk
Envelope
~1Myr
Pre-main-sequence star
Protoplanetary disk
~10Myr
Itokawa (Credit: NASA/JPL)
planets
103 km
Planetesimals
1 km
Rocks
1 m
Dust
< 1mm
Dust ring
Grain growth to
planet formation
Planetesimal
formation
Planet
formation
3. (e.g. Haisch et al. (2001), Meyer et al. (2007), Mamajek (2009))
Typical (IR) disk lifetime (e-folding time): 2-3 Myr
Circumstellar dust
Currie & Sicilia-aguilar 11
Stellar
PPD system’s SED
I
R
-
e
x
c
e
s
s
=
d
u
s
t
i
n
d
i
c
a
t
o
r
decrease
w
ith
cluster ages
Disk fraction of a cluster = N★, w/excess / N★, tot
Ribas+14 (Hernández+07,08)
Similar conclusions obtained for MIR, submm. → Primordial dust dispersal timescale ≲ "# $%&
4. (e.g. Zuckerman+95; Calvet+05; Pascucci+06; Fedele+10; Sicilia-Aguilar+10; Dent+13; Rugel+18).
Fedele+10
Low-mass stars
Herbig Ae/Be
Arun+19
e-folding time: ~ 2 Myr
Gas signature decays on the same timescale as dust.
→ Gas lifetimes < 10 Myr
5. Hollenbach & Yorke (2000)
(massive star context)
Viscous accretion (tν)
Falling onto the star
Stellar winds (tWS)
strip
strip
Photoevaporation (tE, tC)
Stellar encounter (tSE)
strip
wind
wind
Viscous accretion & Photoevaporation are dominant.
Not all !!"#$ (~ 0.01 !#%&~10 !'%(")*+) goes into planets (or the star).
disk cross-section
(disk cross-section)
6. • Accretion (e.g. Shakura &
Sunyaev 1973, Lynden-Bell &
Pringle 1974)
Angular momentum transfer
due to viscous friction →
Materials fall
• Photoevaporation
(e.g. Hollenbach et al. 1994,
Alexander+14 (review))
Irradiation → Thermally driven
winds
• MHD winds (e.g. Suzuki &
Inutsuka 2009, Bai & Stone 2013,
Turner+14 (review))
Magneto-hydrodynamical
effects → driving winds &
accretion
Stripping from
the surface
Falling onto the star
My expertise
(These three are currently the developing topics in the field)
Don't worry when you find a “bug,” be happy!
MHD winds are also found to be important on disk
dispersal (late 2000-)
7. Kunitomo+20
Early phase (< a few Myr):
MHD-winds-dominated epoch
(This view is consistent with jet/wind observations)
In 2020s, the roles (and interplays) of the dispersal processes are studied.
MHD wind
Disk
Accretion
Photoevaporative wind
Disk
Late phase (> a few Myr):
Photoevaporation-dominated epoch
• High disk mass = high mass loss
• Power-law decline of mass (slow)
• Disk mass doesn’t matter
• Linear decline (relatively fast)
8. Blue-shifted lines of [NeII]12.8µm, [OI]5577 6300, etc. (e.g., Pascucci+09)
line
of
sight
observer
Fang+18
Line High-velocity component: Jet
Low-velocity component Broad component: MHD wind(⁇)
Narrow component: MHD wind and/or photoevaporation⁇
Young
Old⁇
Detection and intensity of each component may correlate with disk evolution (See e.g., Pascucci+2022 review)
Wind = blue-shifted lines
9. Ultimate goal: planet formation
Disk formation Dust to Planets Disk dispersal
top-level question
etc.
Viscous Acc. MHD winds Photoevaporation
“External” photoevaporation
massive star-forming region (e.g., Orion)
“Internal” photoevaporation
low-mass star-forming region (e.g., Taurus)
10. e.g., Bally & Scoville (1982); Shu et al. (1993), Hollenbach et al. (1994)
Surface gas heating
FUV EUV X-rays
Photon energy 6 eV ≦ hν ≦ 13.6 eV 13.6 eV ≦ hν ≦ 100 eV 0.1 keV ≦ hν ≦ 10 keV
Main absorber Small dust H/He
H, He, Metal elements
(≧ 0.3 keV)
Penetratability High Low High
Mass-loss rates High ~10-8 Msun/yr Low ~10-10 Msun/yr High ~10-8 Msun/yr
Unbound, hot Photoevaporative
flow
FUV
Submicron grain
PAH
e
Thermalize
e
EUV
Thermalizing
electron
H
H+
X-ray
primary electron
secondary electron
secondary electron
H
H+
H+
H+
H+
FUV, EUV, X-ray
12. • small grains are responsible for the bulk of
heating.
• grain growth, settling, etc. can reduce the
abundance of small grains
• Observations suggest PAH abundances smaller
than that in the ISM (e.g., Geers+07; Oliveira+10)
Bakes & Tielens 1994
Photoelectric heating
rate rapidly decreases
with increasing dust size
a ~ 10 nm
a ~ 30 nm
Ercolano+09
see Nomura+07; Nakatani+18b
Hard X-ray (> 1keV) hardly contribute to heating or photoevaporation.
(it’s also important to look at the spectrum when comparing models)
Photoevaporation rates depend on not only luminosities but star & disk properties.
13. Taken from Ercolano & Pascucci, RSOS, 4, 4, 2017
Wang+17 RN+18a RN+18b
Yes Yes Yes
Yes Yes Yes
Yes Yes Yes
Yes Yes Yes
Yes Yes Yes
Yes No Yes
FYI,
< Important notes >
• There are further differences that significantly affect the results. e.g., input
spectra, incorporated heating/cooling, chemical network, codes, etc.
• Any of photoevaporation models does not yet incorporate all essential
effects.
• Models are developing (large parameter space, detailed effects, etc.)
Covered in this talk
14. Taken from a review (Ercolano & Pascucci 2017)
The necessity of coupling RT + hydro + chem has been repeatedly claimed in textbooks & reviews in the 2010s.
Hydrodynamics
(photo-)
Chemistry
Radiation
Transfer
Heating/Cooling
Advection,
Adiabatic
cooling
Shields photons
Photo-chemistry
Absorber production
thydro ~ r/cs
thydro
tcool , theat
← PPVI textbook
2014
Classical estimating technique of photoevaporation rates:
1. Hydrostatic disk + equilibrium thermochemistry + radiative transfer → guessing ρ and v.
2. Hydrodynamics + temperature table (equilibrium thermochemistry)
Accurate mass-loss rates were unclear.
×
×
×
15. Length unit: 100au
Hollenbach
+94
Yorke &
Welz 96
Gorti+09 Owen+10 Ercolano &
Clarke 10
Wang+17
Hydrodynamic
s No Yes No Yes No Yes Yes
Radiative
transfer Yes Yes Yes No Yes Yes Yes
Thermal
processes Yes Yes Yes No Yes Yes Yes
Chemistry No No Yes No Yes Yes Yes
FUV heating No Yes Yes No No Yes Yes
EUV heating Yes Yes Yes Yes Yes Yes Yes
X-ray heating No No Yes Yes Yes Yes No/Yes
Dust
temperature No No Yes No Yes No Yes
Note that this may be biased; there are many more detailed differences in the methods.
In the 2020s, MHD + self-consistent thermochemistry
simulations are advancing. (e.g., Wang+19; Gressel+20)
Hydrodynamics
(photo-)
Chemistry
Radiation
Transfer
Heating/Cooling
Chemical
structures
change
Shields photons
Photo-chemistry
Absorber production
thydro ~ r/cs
thydro
tcool , theat
↓ Taken from PPVII Chapter 16
16. (Nakatani +18a: no X-ray effects)
Color Scales
Length unit: 100au
Photoevaporating disk
II
Cold disk ( ~10 - 100 K)
+
Hot winds (> 102 -103 K)
UV-heated region
= Wind region
Optically thick region
= Steady disk region
These regions are sharply
divided.
(Note the 3D view is just for illustration.
Our simulations are in 2.5D)
17. ! FUV switch off: 1
! FUV switch off: 2
! FUV switch off: 3
! FUV switch off: 4
! FUV switch off: 5
Visually straightforward movie to show the
neutral flows is due to FUV.
FUV heating will be switched off at Time = 1.
Two flow components
1. EUV-driven H+-dominated (ionized) flow
2. FUV-driven neutral-dominated (neutral) flow
After Time = 1, neutral (H, H2) flows cease, and
ionized (H+) flows remain.
Two flow components
1. ionized flow ← EUV-driven
2. neutral flow ← FUV-driven
(Nakatani +18a)
18. Mass-loss rates
Young disk (ISM grains) Evolved disk (small-grain depleted)
Large total dust surface area
→ Efficient photoelectric heating
Mass-loss rates of evolved disks are
much smaller than classical values.
→ Lifetime > 10 Myr
10-8 Msun/yr
10-11 Msun/yr
Nakatani+21, to be submitted
→ Ineffective photoelectric heating
→ EUV photoevaporation
FUV
Submicron grain
PAH
e
Thermalize
e
EUV
Thermalizing
electron
H
H+
Small-grain depletion
= necessary condition for the primordial-origin scenario to hold.
cf.
21. high Z
Z
Disk Disk
Disk
Ionized flow (EUV-driven)+ neutral flow (FUV-driven)
Only Ionized flow
high <---- neutral flow density ----> low
FUV penetrates deeper; nH ∝ Z−1
Low temperature (next slide)
Dust cooling > FUV heating
(Nakatani +18a)
22. Density
Density
Density
Temperature
Temperature
Temperature
FUV/EUV/X-ray EUV/X-ray
FUV/EUV
X-ray doesn’t excite flows
(with our numerical configuration.)
・ The temperature is higher in the left
・X-ray amplifies FUV heating (cf. Gorti & Hollenbach 09).
E
U
V
-h
e
a
te
d
re
g
io
n
X-ray-heated region
E
U
V
-h
e
a
te
d
re
g
io
n
F
U
V
-
h
e
a
t
e
d
r
e
g
i
o
n
F
U
V
/
X
-
r
a
y
-
h
e
a
t
e
d
r
e
g
i
o
n
(Nakatani +18b)
23. Bally and Scoville (1982): simplified EUV RT
Hollenbach+94: 1+1D EUV RT
Yorke&Weltz96, Richling&Yorke97,98,99: FUV/EUV RT + hydro + chem
Gorti & Hollenbach04: FUV/EUV/ RT + chem
Alexander+04: EUV/ RT
Ercolano+08,09: EUV/ RT + chem
Gorti+09: FUV/EUV/ RT + chem
Font04: (EUV table) + hydro
Owen+10: (EUV/ table) + hydro
1980
1990
2000
2010
2020
2030
Nakatani+18a,b: FUV/EUV/ + hydro + chem
Wang & Goodman 2017: FUV/EUV/ + hydro + chem
New studies⁇
Upgrade computational methods for RT and chemistry⁇
w/ non-ideal global MHD (Wang+19; Gressel+20)
• Recent observations suggest (MHD) wind signature
evolves with disk (e.g., [OI] declines with time).
• (Resolved) wind obs by ALMA, JWST, …, will develop.
observational motivation
planet formation
Disk formation Dust to Planets Disk dispersal
top-level question
etc.
Viscous Acc. MHD winds Photoevaporation
altogether + 10Myr-long 3D simulation
Ideal:
-2030(⁇)
Owen+10
Wang+ 17
1Myr Disk age
3Myr 6Myr
Nakatani+18
Nakatani+21
-2020
0
1Myr 3Myr 6Myr
0
New hydro models at different stages w/ appropriate physics
Real: at most ~0.01Myr simulation is feasible
24. Multi-D simulation to get
1D:
Winds
Viscous accretion
×104
Multi-dimensional simulation for ~10 Myr
Deriving through disk disappearance is necessary!
feasible!
Kunitomo+20
-2030(⁇)
Owen+10
Wang+ 17
1Myr Disk age
3Myr 6Myr
Nakatani+18
Nakatani+21
-2020
0
1Myr 3Myr 6Myr
0
New hydro models at different stages w/ appropriate physics
Filling the gaps is important in the theoretical context too!