ADIOS Revisited Mitch Begelman JILA, University of Colorado

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Revisited
ADIOS Revisited
Mitch Begelman
JILA, University of Colorado
Started: 1987 AAS, Pasadena
ROGER’S WRONGEST PAPER?
Started: 1998 AAS, San Diego
HOPEFULLY LESS WRONG
The ADIOS model addresses a fundamental
problem in accretion theory…
HOW DOES ROTATING GAS
ACCRETE IF IT CAN’T RADIATE
EFFICIENTLY?
THE PROBLEM:
ACCRETION REQUIRES TORQUE
+
TORQUE TRANSPORTS ENERGY
Angular Momentum Flux:
G
Torque G ~ M  outward
Energy Flux:
G outward
IN A THIN ACCRETION DISK:
Local rate of energy release:
GM

M
2R
G
Local rate of dissipation:
  GM 
3  M

2R 

2/3 of energy dissipated at R transported
from <R by viscous torque
IN A RADIATIVELY INEFFICIENT
ACCRETION FLOW:
Energy Transport:

G ~ M B
G
2
v
B h 0
2
Bernoulli Function
Energy transport from small R by torque
unbinds gas at large R
1 g of gas accreting at r ~ m
can liberate 1 kg of gas at r ~ 1000 m
• Torque a “conveyor belt” for liberated
energy
• Flow must find a way to limit energy
transported outward from smaller r
ADIOS =
ADIABATIC INFLOW-OUTFLOW
SOLUTION (Blandford & Begelman 99)
– Mass loss or circulation
– Small fraction of supplied mass reaches BH
THE ADIOS MODEL
Inflow B  0
n

M R
Ang.Mom. 
0  n 1
Energy  R
Mass
Energy
Ang. Mom.
Mass Outflow
or circulation
B0
R1/ 2
1
SELF-SIMILAR DISK WINDS
Disk: Viscous flow with B < 0
Entropy increases at diskwind interface
Wind: Inviscid outflow with B < 0
Jet: Evacuated cone
High shear across wind
No internal mixing across streamlines
Huge parameter space of solutions
Blandford & Begelman 2004
SELF-SIMILAR DISK WINDS
Disk: Viscous flow with B < 0
Entropy increases at diskwind interface
Wind: Inviscid outflow with B < 0
Blandford & Begelman 2004
SELF-SIMILAR DISK WINDS
Disk: Viscous flow with B < 0
Entropy increases at diskwind interface
Wind: Inviscid outflow with B < 0
High shear across wind
No internal mixing across streamlines
Huge parameter space of solutions
0<n<1
Blandford & Begelman 2004
SIMULATIONS SHOW MORE
RESTRICTIVE BEHAVIOR...
n ~1
Hawley & Balbus 02
M in
M 
R
M out
M net  M in  M out
Lindner, Milosavljevic, Couch, and Kumar 2009, preprint
Lindner, Milosavljevic, Couch, and Kumar 2009, preprint
TWO-ZONE ADIOS MODEL
Inflow B  0
M  R n
Ang.Mom. 
0  n 1
Energy  R
Exchange: Mass
Energy
Ang. Mom.
R1/ 2
1
Mass Outflow
B0
AVERAGE OVER STREAMLINES
CONSERVE ENERGY, ANG. MOM. IN EACH ZONE
CONSERVE EXCHANGED ENERGY, ANG. MOM.
TWO-ZONE ADIOS MODEL
Inflow B  0
M ~ R
n 1
Exchange: Mass
Energy
Ang. Mom.
Ang.Mom. 
Energy  R
M
TOTAL POWER AVAILABLE  R
FRACTION

1
Mass Outflow
B0
NO SOLUTION UNLESS:
INCLUDE CENTRAL ENERGY SOURCE
R1/ 2
n≈1
DRIVES OUTFLOW, 1   FLOWS THRU DISK
BREEZE MODELS
Bound, viscous inflow
No slow solution possible
Unbound, very slow outflow
Viscous stress important in
outflow
Thin disk limit, a=0
Stress vanishes in outflow
Marginally bound inflow
BREEZE MODELS
Bound, viscous inflow
Unbound, very slow outflow
Viscous stress important in
outflow
WIND MODELS
Bound, viscous inflow
Unbound, dynamical
outflow
Viscous stress unimportant
in outflow
PREDICTION:
2
Lout ~ Lin
3
( if ang. mom. transfer local)
WIND MODELS
OUTFLOW CAN BE
SUBSONIC OR
SUPERSONIC …
BUT REQUIRES HIGH
ENERGY INPUT ()
SUBSONIC
CONCLUSIONS
• A new type of ADIOS solution
– “well-mixed” outflow
• Explains Ṁ~R scaling
• Inflow and outflow exchange M, L, but little E
• Energy to drive outflow comes from center
– Total energy supply |Eacc|Ṁacc~Ṁ/R
– Fraction  to outflow, 1- carried outward by
inflowing gas
– Details of inner accretion flow determine , 
• Applications: SS433, Galactic Center …
Started: 1987 AAS, Pasadena
Gestation period: 4 months
Started: 1998 AAS, San Diego
Gestation period: 7 months
Started: 1998 Texas Symposium, Paris
Gestation period: 5 years
Started: 1999 KITP BH Meeting, Santa Barbara
Gestation period: 8 years
Started: 2009 BlandfordFest, Stanford
0.2327v1 [astro-ph.HE] 17 Oct 20??
Gestation period: ??
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