toy model for splashback€¦ · • quiz time: which halo in fig 1 has a larger accretion rate?...

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4 4 . . S S p p l l a a s s h h b b a a c c k k r r a a d d i i u u s s : : t t h h e e p p h h y y s s i i c c a a l l e e d d g g e e 3 3 . . S S h h a a r r p p d d r r o o p p i i n n d d e e n n s s i i t t y y : : a a p p h h y y s s i i c c a a l l f f e e a a t t u u r r e e 10 0 10 1 10 2 10 3 10 4 ρ/ρ m Γ=0.8 0.1 0.5 1 5 r/R 200m -7 -6 -5 -4 -3 -2 -1 0 d log ρ/d log r Γ=2.7 0.1 0.5 1 5 r/R 200m 2 2 . . V V i i s s u u a a l l i i m m p p r r e e s s s s i i o o n n 1 1 . . K K e e y y t t a a k k e e a a w w a a y y s s T T h h e e S S p p l l a a s s h h b b a a c c k k R R a a d d i i u u s s Surhud More (Kavli IPMU), Benedikt Diemer (Harvard), Andrey Kravtsov (UChicago), Hironao Miyatake (JPL), Masahiro Takada (Kavli IPMU), Neal Dalal (UIUC) S S u u m m m m a a r r y y Splashback radius is a physical boundary for dark matter halos, which depends upon the mass and the mass accretion rate history of the halo. We have detected the splashback radius of massive galaxy clusters from SDSS, a preliminary comparison shows that it is smaller than expected from cosmological simulations, a systematic study is currently underway. R R e e f f e e r r e e n n c c e e s s The density profiles (upper panels) of the halos above show sharp density drops at their outskirts. The solid circles in the poll above capture the steepest slope of the density profile (lower panel). More, Diemer & Kravtsov 2015 5 5 . . S S p p l l a a s s h h b b a a c c k k r r a a d d i i u u s s i i n n o o b b s s e e r r v v a a t t i i o o n n s s Do dark matter halos have boundaries? Yes! Are these boundaries physically interesting? Yes! Can these halo boundaries be observed? Yes! More, Diemer & Kravtsov 2015 These galaxy clustersized halos have equal masses. Which of these lines would you assign as the physical boundary of dark matter halos? Poll by ticking below: Solid: Dotted: Splashback radius is related to the orbits of dark matter particles within halos. The observed density drops are a result of the pile up of dark matter particles due to small radial velocities near the apocenter. If the potential deepens during the particle orbit due to mass accretion on to the halo, particles do not reach as far out. Larger the accretion rate, smaller the splashback radius Quiz time: Which halo in Fig 1 has a larger accretion rate? Splashback Splashback Deepening potential Faster accretion rate, smaller splashback radius Toy model for Splashback We obtained the surface density profiles of galaxies around massive clusters identified from the Sloan Digital Sky Survey The surface density profiles also show sharp steepening (solid line) corresponding to the splashback radius of these clusters Subhalo density profiles around simulated clusters of similar mass (dashed line) show that the observed splashback radius is smaller by about 20 percent. Could it be due to some systematics in optical cluster finding or due to dark matter selfinteractions? 10 -1 10 0 10 1 10 0 10 1 Σ g (R)[h 2 Mpc -2 ] M i -5 logh<-19.43 V peak > 135kms -1 Observed 10 -1 10 0 10 1 R [h -1 Mpc] -2.0 -1.8 -1.6 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 d log Σ g /d log R R 200m More et al. 2016 Pseudoevolution of halo mass, Diemer, More & Kravtsov 2013, ApJ, 766, 25; The outer density profiles of dark matter halos, Diemer & Kravtsov, 2014, ApJ, 789, 1; Splashback radius as the physical halo boundary and the growth of halo mass, More, Diemer & Kravtsov, 2015, ApJ, 810, 1; Detection of the Splashback radius and halo assembly bias of massive clusters, More et al. 2016, ApJ, 825, 39;

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Page 1: Toy model for Splashback€¦ · • Quiz time: Which halo in Fig 1 has a larger accretion rate? Deepening potential Splashback Splashback Faster accretion rate, smaller splashback

44.. SSppllaasshhbbaacckk rraaddiiuuss:: tthhee pphhyyssiiccaall eeddggee

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100

101

102

103

104

ρ/ρ

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Γ = 0.8

0.1 0.5 1 5

r/R200m

−7

−6

−5

−4

−3

−2

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TThhee SSppllaasshhbbaacckk RRaaddiiuussSurhud More (Kavli IPMU), Benedikt Diemer (Harvard), Andrey Kravtsov (UChicago),

Hironao Miyatake (JPL), Masahiro Takada (Kavli IPMU), Neal Dalal (UIUC)

SSuummmmaarryy• Splashback radius is a physical boundary for dark matter halos, which

depends upon the mass and the mass accretion rate history of the halo.• We have detected the splashback radius of massive galaxy clusters from

SDSS, a preliminary comparison shows that it is smaller than expectedfrom cosmological simulations, a systematic study is currentlyunderway.

RReeffeerreenncceess• The density profiles (upper

panels) of the halos aboveshow sharp density drops attheir outskirts.

• The solid circles in the pollabove capture the steepest slopeof the density profile (lowerpanel).

More, Diemer & Kravtsov 2015

55.. SSppllaasshhbbaacckk rraaddiiuuss iinn oobbsseerrvvaattiioonnss

• Do dark matter halos have boundaries? Yes!

• Are these boundaries physically interesting? Yes!

• Can these halo boundaries be observed? Yes!

More, Diemer & Kravtsov 2015

• These galaxy cluster­sized halos have equal masses.• Which of these lines would you assign as the physical

boundary of dark matter halos? Poll by ticking below:• Solid:• Dotted:

• Splashback radius is related to the orbits of dark matter particleswithin halos.

• The observed density drops are a result of the pile up of darkmatter particles due to small radial velocities near the apocenter.

• If the potential deepens during the particle orbit due to massaccretion on to the halo, particles do not reach as far out.

• Larger the accretion rate, smaller the splashback radius• Quiz time: Which halo in Fig 1 has a larger accretion rate?

Sp

lash

bac

k

Sp

lash

bac

k

Dee

pen

ing

pot

enti

al

Faster accretion rate, smaller splashback radius

Toy model for Splashback

• We obtained the surface density profiles of galaxies around massiveclusters identified from the Sloan Digital Sky Survey

• The surface density profiles also show sharp steepening (solid line)corresponding to the splashback radius of these clusters

• Subhalo density profiles around simulated clusters of similar mass(dashed line) show that the observed splashback radius is smaller byabout 20 percent.

• Could it be due to some systematics in optical cluster finding or dueto dark matter self­interactions?

10−1 100 101

100

101

Σg(R

)[h

2M

pc−

2]

Mi-5 logh<-19.43

Vpeak > 135kms−1

Observed

10−1 100 101

R [h−1Mpc]

−2.0

−1.8

−1.6

−1.4

−1.2

−1.0

−0.8

−0.6

−0.4

dlo

g/d

logR

R200m

More et al. 2016

Pseudoevolution of halo mass, Diemer,More & Kravtsov 2013, ApJ, 766, 25;

The outer density profiles of dark matterhalos, Diemer & Kravtsov, 2014, ApJ,789, 1;

Splashback radius as the physical haloboundary and the growth of halo mass,More, Diemer & Kravtsov, 2015, ApJ,810, 1;

Detection of the Splashback radius and haloassembly bias of massive clusters, Moreet al. 2016, ApJ, 825, 39;