Masa Nakamura (ASIAA, Taiwan)
Institute for Theoretical Physics Seminar, Goethe University, Frankfurt, Germany, 12/04/2015
Jet Break in M87: Fundamental Property in AGN Jets Masa Nakamura - - PowerPoint PPT Presentation
Jet Break in M87: Fundamental Property in AGN Jets Masa Nakamura (ASIAA, Taiwan) Institute for Theoretical Physics Seminar, Goethe University, Frankfurt, Germany, 12/04/2015 Towards(the(100 th( Anniversary(of(the(Discovery(of(Cosmic(Jets M87
Masa Nakamura (ASIAA, Taiwan)
Institute for Theoretical Physics Seminar, Goethe University, Frankfurt, Germany, 12/04/2015
SOC: P. Ho (ASIAA, Chair)
Towards(the(100th(Anniversary(of(the(Discovery(of(Cosmic(Jets
M87 Workshop
May 23-27 2016, ASIAA, Taipei
Image courtesy (left: Francisco Diez, middle: J.-C. Algaba, right: Greenland telescope)Web.: http://events.asiaa.sinica.edu.tw/workshop/20160523/index.php Contact: m87ws2016@asiaa.sinica.edu.tw Invited Speakers (*TBD):
(U. Waterloo), E. Churazov (MPA), S. Doeleman (MIT Haystack), *A. Doi (JAXA), J. Hawley (U. Virginia), A. Levinson (Tel Aviv U.), B. McNamara (U. Waterloo), H. Li (LANL), *D. Meier (Caltech), S. Mineshige (Kyoto U.),
(FIT), W. Potter (U. Oxford), Ł. Stawarz (Jagiellonian U.),
TOPICS
Registration & Abstract Submission ( - 2016/02/15)
unsolved on the jet acceleration/collimation
the BH gravitational influence and beyond
may be norm in the BH-galaxy co-evolution?
Junor+ (1999), Nature
10-2 10-1 1 101 102 103 2 4 6 8
10-3 10-2 10-1 1 101Distance from the nucleus: z (pc) Distance from the nucleus: z (arcsec) Apparent speed (V/c)
Reid et al. (1989) Junor & Biretta (1995) Biretta et al. (1995) Biretta et al. (1999) Cheung et al. (2007) Kovalev et al. (2007) N2 L HST-1 D E F AB Cthe jet is cylindrical or not)?
We have no clear view of jet acceleration/ collimation even in the most studied AGN jet …
Puzzle Has Remained Unsolved During decades
θ
Bp field lines and characteristic surfaces McKinney (2006) Out-going Fast Light Cylinder Out-going Alfvén Out-going Slow In/out-flow Separation Ergosphere Pu, MN, + (2015), ApJ
GRMHD Simulation (a =0.9375) Steady GRMHD (cold) solution (a =0.9375)
Bp field: parabolic solution (Blandford & Znajek 1977) + perturbation (Beskin & Nokhrina 2006) In-going Alfvén In-going Slow Horizon/in-going Fast
GRMHD (1st ever) Steady Inflow/Outflow Solutions for a Parabolic Streamline
Black Holecorona + accretion flow
inflow energy flux
light surface separation surface light surface static limit
Black HoleOpen Question 1: How Acceleration/ Collimation in MHD jets is Terminated?
µ γ = 1 + σ
σ : Poynitng-to-matter energy flux ratio
can be measured by the total (matter + Poynting)-to-matter energy flux ratio:
γ∞ µ (σ∞ 0)
µ ∼ 101−3
(Beskin 2010; Nokhrina+ 2015)
would be norm?
µ 10 σ∞ 0
(45)
∣
∣
∣
θj ∝ z(1−a)/a Γ ∝ z(a−1)/a
along a streamline that threads the EH at mid-latitude (similar to McKinney 2006) separation point
Γ ¯ Br/ ¯ Bφ ' 1
quasi F-F; e.g., Lyutikov+ (2005) Clausen-Brown+ (2011) c.f., Jorstad+ (2005) Pushkarev+ (2009) Clausen-Brown+ (2013)
Γθ ∼ 0.1
Transition found in MOJAVE AGNs
Figure 6. Histograms of projected linear distance for jet featuresHoman+ (2015) Lister+ (2013) (see also Kellermann 2004; similar tendency can been seen)
(Lister+ 2013; Homan+ 2015) ⇒ ~ 100 pc or longer in de-projection
z ∝ r, so that jets is still being collimated (Homan+ 2014; also Pushkarev & Kovalev 2012 w/ Tb analysis)
2007 2008 2009 milliarcsecond milliarcsecond 200 400 600 800 200
Asada, MN+ (2014), ApJL
SL Motions Upstream of HST-1
EVN Observations@1.6GHz
Asada, MN+ (2014), ApJL Bondi radius
Kovalev et al. 2007: VLBA at 15 GHz Reid et al. 1989: Gloabal VLBI at 1.6 GHz Cheung et al. 2007: VLBA at 1.6 GHz Biretta et al. 1999: HST Biretta et al. 1995: VLA at 15 GHz Meyer et al. 2013: HST Ly et al. 2007; VLBA 43 GHz (area) Walker et al. 2008: VLBA 43 GHz Acciari et al. 2009: VLBA 43 GHz Kovalev et al. 2007: VLBA at 15 GHz Reid et al. 1989: Gloabal VLBI at 1.6 GHz Cheung et al. 2007: VLBA at 1.6 GHz Biretta et al. 1999: HST Biretta et al. 1995: VLA at 15 GHz Meyer et al. 2013: HST Ly et al. 2007; VLBA 43 GHz (area) Walker et al. 2008: VLBA 43 GHz Acciari et al. 2009: VLBA 43 GHz This work: EVN at 1.6 GHz
A Missing Link Has Been Filled
Asada & MN (2012), ApJL; MN & Asada (2013), ApJ; Asada, MN+ (2014), ApJL
Jet Structure and Dynamics in M87
Sub/Superluminal Pairs
(Trailing MHD shocks? MN+ 2010, MN & Meier 2014)
“Jet break” “ D e c e l e r a t i
”
z ∝ r0.99
1 101 102 103 104 105 106
ISCO for Schwarzshild BH
10-3 10-2 10-1 1 101 102 103 104 Deprojected distance from the nucleus: z (pc) Radius: r (rs)
MERLIN 1.8 GHz (Asada & Nakamura 2012) EVN 1.6 GHz (Asada & Nakamura 2012) VLBA 15 GHz (Asada & Nakamura 2012) VLBA 43 GHz (Asada & Nakamura 2012) VLBA Core 43 GHz (Nakamura & Asada 2013) VLBA Core 86 GHz (Nakamura & Asada 2013) EHT Core 230 GHz @2009 (Doeleman et al. 2012) VLBA Core 5, 8, 15, 24, 43, & 86 GHz (Hada et al. 2013) EHT Core 230 GHz @2012 (Akiyama et al. 2015)HST-1
1 101 102 103 104 105 106 107 10-3 10-2 10-1 1 101
Bondi radius
Distance from the nucleus: z (rs) Four-velocity: ΓV/c
VLA 15 GHz (Biretta et al. 1995) HST (Biretta et al. 1999) HST (Meyer et al. 2013) VLBA 1.7 GHz (Cheung et al. 2007) VLBA 1.7GHz + EVN 5 GHz (Giroletti et al. 2012) EVN 1.6 GHz (Asada et al. 2014) VLBI 1.6 GHz (Reid et al. 1989) VLBA 15 GHz (Kellermann et al. 2004) VLBA 15 GHz (Kovalev et al. 2007) (area) VLBA 43 GHz (Ly et al. 2007)HST-1
“ A c c e l e r a t i
”
z ∝ r1.75
unsolved on the jet acceleration/collimation
the BH gravitational influence and beyond
may be norm in the BH-galaxy co-evolution?
Open Question 2: How Are GRMHD Jets Confined?
HARM 2D (Gammie+ 2003; Noble+ 2006): 2562 grids a = 0.9375
βp ≡ pgas/pmag pgas pmag
corona/wind may be a force-free on the small scale (< 100 rs)
BZ77 BP82
solution for a thin disc with an r-5/4 (i.e., BP82)
Outer Boundary of GRMHD Jets
down to h/r ~ 0.05 near the EH from ~ (0.3 - 1) at large distances (Tchekhovskoy 2015) a=0.9375 BZ77 BP82 dIφ dr ∝ 1 r2−ν
2 4 2 4Tchekhovskoy+ (2011)
⊗Toroidal current: Iφ
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗ν = 1 ν = 3/4
(Parabolic, Blandford & Znajek 1977) (Blandford & Payne 1982) (split-monopole)
ν = 0 dIφ dr ∝ 1 r2−ν
a = 0.7 a = 0.9 a = 0.99 b2/ρc2 βplasma a = 0.5 b2/ρc2 ' 1 pgas/pmag . 0.1 t = 104 GM/c3 t = 104 GM/c3 t = 104 GM/c3 t = 104 GM/c3
Comparison w/ Observations in M87
MN, Noble+ in prep.
10-1 1 101 102 103 104 1 101 102 103 Distance from the black hole: z (rg) Radius: r (rg)
VLBA 15 GHz (Asada & Nakamura 2012) VLBA 43 GHz (Asada & Nakamura 2012) VSOP 5 GHz (Asada, Nakamura, & Pu in prep.) VLBA Core 43 GHz (Nakamura & Asada 2013) VLBA Core 86 GHz (Nakamura & Asada 2013) VLBA Core 5, 8, 15, 24, 43, & 86 GHz (Hada et al. 2013) EHT Core 230 GHz @2009 (Doeleman et al. 2012) EHT Core 230 GHz @2012 (Akiyama et al. 2015) Approximate F-F solutions (a=0.7-0.99) for outermost streamlines (Blandford & Payne 1982) Analytical F-F solutions (a=0.7-0.99) for outermost streamlines (Blandford & Znajek 1977) Ergosphere (a=0.7)
10-1 1 101 102 103 104 1 101 102 103 Distance from the black hole: z (rg) Radius: r (rg)
VLBA 15 GHz (Asada & Nakamura 2012) VLBA 43 GHz (Asada & Nakamura 2012) VSOP 5 GHz (Asada, Nakamura, & Pu in prep.) VLBA Core 43 GHz (Nakamura & Asada 2013) VLBA Core 86 GHz (Nakamura & Asada 2013) VLBA Core 5, 8, 15, 24, 43, & 86 GHz (Hada et al. 2013) EHT Core 230 GHz @2009 (Doeleman et al. 2012) EHT Core 230 GHz @2012 (Akiyama et al. 2015) Approximate F-F solutions (a=0.7-0.99) for outermost streamlines (Blandford & Payne 1982) Analytical F-F solutions (a=0.7-0.99) for outermost streamlines (Blandford & Znajek 1977) GRMHD simulations (a=0.7-0.99) for outermost streamlines Ergosphere (a=0.7)
10-1 1 101 102 103 104 1 101 102 103 Distance from the black hole: z (rg) Radius: r (rg)
VLBA 15 GHz (Asada & Nakamura 2012) VLBA 43 GHz (Asada & Nakamura 2012) VSOP 5 GHz (Asada, Nakamura, & Pu in prep.) VLBA Core 43 GHz (Nakamura & Asada 2013) VLBA Core 86 GHz (Nakamura & Asada 2013) VLBA Core 5, 8, 15, 24, 43, & 86 GHz (Hada et al. 2013) EHT Core 230 GHz @2009 (Doeleman et al. 2012) EHT Core 230 GHz @2012 (Akiyama et al. 2015) GMVA 86 GHz (Asada et al. in prep.) Approximate F-F solutions (a=0.7-0.99) for outermost streamlines (Blandford & Payne 1982) Analytical F-F solutions (a=0.7-0.99) for outermost streamlines (Blandford & Znajek 1977) GRMHD simulations (a=0.7-0.99) for outermost streamlines Ergosphere (a=0.7)
Trails of Components?
A B C I F E D G (HST-1)
Cheung+ (2007)
c1:4.3c c2:0.47c
MN+ (2001); MN & Meier (2004) Growing Current-driven instability
U p p e r l e f t : k n
I a p p e a r s t
a d e a n d m
e b a c k w a r d a l
g t h e j e t a t . 2 3 ± . 1 2 c . L
e r l e f t : k n
A i s s h
n w i t h a s t r e t c h t
m p h a s M i d d l e p a n e l : t h e k n
A / B c
p l e x s h
s r e m a r k a b l e v a r i a b i l i t y , w i t h b
h s u b
e l a t i v i s t i c a n d s u p e r l u m i n a l a p p a r e n t m
i
s . a p p e a r s i n t h e l a s t e p
h . R i g h t p a n e l : k n
C s h
s s p e e d s
t h e
d e r
. 4 – . 9 c . B
t
p a n e l : a d e p i c t i
v e t h e
l i n e j
r n a l . )
pixels yr
− 1in both previous studies.
5As suggested by the
a speed of 4.27 ± 0.30c along the jet, D-West shows evidence of deceleration by the final epoch in 2008, while transverse speeds of −0.59 are consistent 0.98c
Note: Knots are NOT stationary except HST-1
P r
e c t e d V
e l d s ( M e y e r + 2 1 3 ) P r
e c t e d B
e l d s ( O w e n + 1 9 8 9 )
B⊥ B⊥ B
Length scale (Rg)
FS FF RF RS Conical expansion
Length scale (pc)
A C HST-1 Trailing knots Flow streamline
5106 107 500 1000 1500
B DE DW
MN, Garofalo, & Meier (2010), ApJ
Trails of MHD Shocks?
Quad RMHD Shock Model
t =2.0
2 4 6 8 2 4 6 8 /0
RF RS CD FS FF(a)
20 40 60 B (mG) (b) 10-2 10-1 1 101 p (c) 10-1 1 101 102
1.5 1.6 1.7 1.8 1.9 20 40 60 80 z (pc) tan-1(B/Bz) (e)
5 10
1.5 1.6 1.7 1.8 1.9
0.2 z (pc) V/c (d)
MN, Garofalo, & Meier (2010), ApJ; MN & Meier (2014), ApJ Biretta et al. (1999)
θv~ 14°: Vε ~ 0.99 c ⇒ FF VEast ~ 0.79 c ⇒ RF
DSA (Fermi I acceleration via relativistic shock): 1.Proper compression
σ 0.5
θ 13 n(E) ∝ E−δ, δ = 2.2 − 2.3
rcmp = 3.3 − 3.5
A super-fast magnetosonic flow drives forward/reverse-fast/slow shocks
“Counter-rotation”
unsolved on the jet acceleration/collimation
the BH gravitational influence and beyond
may be norm in the BH-galaxy co-evolution?
BAF / ADAF
˙ M/ ˙ MB
r/rs
˙ MB 0.12M/yr (e.g., Di Matteo+ 2003)
RIAF theory/simulation suggests a substantial decrease
(Pj ~ 1043-44 erg/s)?
RIAF in M87
GADAF CDAF/ADIOS
(Kuo, Asada+ 2014, RM obs., SMA@230GHz)
˙ M• 9.2 × 104M/yr
2D MHD sim. (Yuan+ 2012) 3D MHD sim. (Pang+ 2011)
1 101 102 103 104 105 10-6 10-5 10-4 10-3 10-2 10-1 1
Pj/ ˙ M•c2 > 1
?
Pj(= 5 × 1043 erg/s)/ ˙ M•c2 ∼ 1
R u s s e l l + ( 2 1 5 ) (e.g., Ghisellini+ 2014)
MAD in Action in M87?
0.2 0.4 0.6 0.8 1 1040 1041 1042 1043 1044 1045 1046 0.2 0.4 0.6 0.8 1 1040 1041 1042 1043 1044 1045 1046Black hole spin : a∗ ≡ a/M Black hole spin : a∗ ≡ a/M η = Pj ˙ M•c2 × 100% Jet power : Pj [erg/s]
e.g., Tchekhovskoy (2015)
(Bisnovatyi-Kogan & Ruzmaikin 1974, 1976; Narayan 2003; Tchekhovskoy+ 2011; Tchekhovskoy & McKinney 2012; Zamaninasab+ 2014) φ• = Φ• ( ˙ M•r2
gc)1/2 50 (spin average)
MN+ in prep.
˙ M• 6.3 104 R 10rs 0.5 M/yr (e.g., Kuo, Asada+ 2014; Russell+ 2015) for a MAD state (FG ≈ FB)
0.2 0.4 0.6 0.8 1 50 100 150 200 Maximum radiative efficiency ~ 30% for a thin disk with a/M=0.998 (Thorne 1974)a/M & 0.6
unsolved on the jet acceleration/collimation
the BH gravitational influence and beyond
may be norm in the BH-galaxy co-evolution?
SMBH sphere of inf. geometrical transition parabolic, z ~ r2.02 conical, z ~ r
. 9 4
Jet Radius [rs] [pc] Deprojected Distance from Core [rs] [pc]
VLBA 15 GHz VLBA 5 GHz (This work) EVN(a) 1.6 GHz (This work) EVN(b) 1.6 GHz (This work) EVN(c) 1.6 GHz Best fit Single power-law fit VLA 1.4 GHz VLBA 15 GHz core VLBA 5 GHz core EVN 1.6 GHz core 102 103 104 105 106 107 108 103 104 105 106 107 108 109 10-2 10-1 100 101 102 103 10-1 100 101 102 103 104
Tseng, Asada, MN+, submitted to ApJL NGC 6251(0.5 pc/mas = 8700 rs), log M● = 8.78, θv=19°
the highest angular resolution (1 mas ~ 125 rs)
as well as the jet inner structure for blazers (non-BK79?)
sheath may be the outermost streamline (BP82) from BH
stream up to ~ 105 rs (inside the sphere of BH influence)
4.GRMHD jet sim./MAD scenario may give the BH spin as
a > 0.7
to conical; BK79) may be norm in AGNs