A Pedagogical Guide to Radio Phenomenon in Clusters

Transcription

A Pedagogical Guide to Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
A Pedagogical Guide to
Radio Phenomenon in Clusters
Christoph Pfrommer1
in collaboration with
Nick Battaglia, Dick Bond, Torsten Enßlin, Francesco Miniati,
Anders Pinzke, John Sievers, Kandaswamy Subramanian
1
Heidelberg Institute for Theoretical Studies, Germany
Kavli Institute for Theoretical Physics, Santa Barbara
Apr 21, 2011 / KITP program
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Outline
1
Radio phenomenology
Overview
Observations
Radio gischt emission
2
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Outline
1
Radio phenomenology
Overview
Observations
Radio gischt emission
2
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Hadronic cosmic ray proton interaction
e+
µ+
π+
CRp
π
0
νµ
_ νe
νµ
p
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Hadronic cosmic ray proton interaction
e+
magnetic field
µ+
π+
CRp
π
p
γ
νµ
0
_ νe
νµ
radio
+ IC
γ
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Multi messenger approach for non-thermal processes
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Multi messenger approach for non-thermal processes
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Multi messenger approach for non-thermal processes
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Multi messenger approach for non-thermal processes
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
What we hope to learn from non-thermal emission
plasma astrophysics:
shock and particle acceleration
large-scale magnetic fields
turbulence
dynamical state → cosmology?
non-thermal pressure support: hydrostatics + SZE
history of individual clusters: cluster archeology
illuminating the process of structure formation
consistent picture of non-thermal processes:
radio, soft/hard X-rays, γ-rays
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Overview of diffuse radio phenomenon
radio relics: αν ∼ 1 − 2.5, where jν ∝ ν −αν
radio relic bubble: aged radio cocoon, steep spectrum
radio phoenix: shock-revived bubble that has already faded
out of the radio window → adiabatic compression?
radio gischt: irregular morphology, at cluster periphery
(< Mpc), in some cases coincident with weak X-ray shock,
polarized → diffusive shock acceleration (Fermi I)?
radio halos: centrally located, regular morphology,
αν ∼ 1 − 1.5, unpolarized → volume filling radio emission
giant radio halos: occur in merging clusters, > 1 Mpc-sized,
morphology similar to X-rays
radio mini halos: occur in cool core clusters, few times 100
kpc in size, emission extends over cool core
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Overview of diffuse radio phenomenon
radio relics: αν ∼ 1 − 2.5, where jν ∝ ν −αν
radio relic bubble: aged radio cocoon, steep spectrum
radio phoenix: shock-revived bubble that has already faded
out of the radio window → adiabatic compression?
radio gischt: irregular morphology, at cluster periphery
(< Mpc), in some cases coincident with weak X-ray shock,
polarized → diffusive shock acceleration (Fermi I)?
radio halos: centrally located, regular morphology,
αν ∼ 1 − 1.5, unpolarized → volume filling radio emission
giant radio halos: occur in merging clusters, > 1 Mpc-sized,
morphology similar to X-rays
radio mini halos: occur in cool core clusters, few times 100
kpc in size, emission extends over cool core
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Radio phoenix
thermal X-ray emission
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Shock overruns an aged radio bubble (C.P. & Jones 2011)
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Bubble transformation to vortex ring
Enßlin & Brüggen (2002): gas density (top) and magnetic energy density (bottom)
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Radio gischt: double relic sources
CIZA J2242.8+5301 (“sausage relic”)
Abell 3667
(X-ray: XMM; radio: WSRT; Ogrean+ in prep.)
(radio: Johnston-Hollitt. X-ray: ROSAT/PSPC.)
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Overview of diffuse radio phenomenon
radio relics: αν ∼ 1 − 2.5, where jν ∝ ν −αν
radio relic bubble: aged radio cocoon, steep spectrum
radio phoenix: shock-revived bubble that has already faded
out of the radio window → adiabatic compression?
radio gischt: irregular morphology, at cluster periphery
(< Mpc), in some cases coincident with weak X-ray shock,
polarized → diffusive shock acceleration (Fermi I)?
radio halos: centrally located, regular morphology,
αν ∼ 1 − 1.5, unpolarized → volume filling radio emission
giant radio halos: occur in merging clusters, > 1 Mpc-sized,
morphology similar to X-rays
radio mini halos: occur in cool core clusters, few times 100
kpc in size, emission extends over cool core
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Giant radio halo in the Coma cluster
thermal X-ray emission
radio synchrotron emission
(Snowden/MPE/ROSAT)
(Deiss/Effelsberg)
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Radio mini halo in the Perseus cluster
radio synchrotron emission
(Pedlar/VLA)
thermal X-ray emission
(ROSAT; NASA/IoA/A.Fabian et al.)
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Overview of diffuse radio phenomenon
radio relics: αν ∼ 1 − 2.5, where jν ∝ ν −αν
radio relic bubble: aged radio cocoon, steep spectrum
radio phoenix: shock-revived bubble that has already faded
out of the radio window → adiabatic compression?
radio gischt: irregular morphology, at cluster periphery
(< Mpc), in some cases coincident with weak X-ray shock,
polarized → diffusive shock acceleration (Fermi I)?
radio halos: centrally located, regular morphology,
αν ∼ 1 − 1.5, unpolarized → volume filling radio emission
giant radio halos: occur in merging clusters, > 1 Mpc-sized,
morphology similar to X-rays
radio mini halos: occur in cool core clusters, few times 100
kpc in size, emission extends over cool core
Christoph Pfrommer
Radio Phenomenon in Clusters
Overview
Observations
Radio gischt emission
Radio phenomenology
Cosmic ray transport
Radio gischt illuminates cluster shocks
2
2
2
2-2
-1
0
1
22
3
1
2
0
-1
0
-2
-2
0
-1
-1
-2
-2
y [ h-1 Mpc ]
1
hM ε̇diss i/hε̇diss i
y [ h-1 Mpc ]
1
-1
0
1
2
-1
0
x [ h-1 Mpc ]
1
2
1
1
1
0
0
-1
-1
-2
-2
-2
-2
-2
-1
0
1
2
-1
0
x [ h-1 Mpc ]
1
2
Structure formation shocks triggered
red/yellow: shock-dissipated energy,
by a recent merger of a large galaxy
blue/contours: 150 MHz radio gischt
cluster.
emission from shock-accelerated CRe
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Diffuse cluster radio emission – an inverse problem
Exploring the magnetized cosmic web
Battaglia, C.P., Sievers, Bond, Enßlin (2009):
Combining the low-frequency radio observables of relics, we can
probe
strength and coherence scale of cluster magnetic fields
diffusive shock acceleration of electrons
existence and properties of the WHIM
dynamical state of the cluster
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Population of faint radio relics in merging clusters
Probing the large scale magnetic fields
Finding radio relics with an FOF-finder that links radio emission instead of
DM → relic luminosity function:
2
2
2
101
0
10-1
-1
0
0
10-1
-1
-1
1
1
y [ h-1 Mpc ]
y [ h-1 Mpc ]
1
0
101
1
Sν [ mJy arcmin-2 ]
1
1
-1
10-2
-2
-2
-2
-2
-1
0
1
2
-1
0
x [ h-1 Mpc ]
1
2
10-3
10-2
-2
-2
-2
-2
radio map with GMRT emissivity threshold
Christoph Pfrommer
-1
0
1
2
-1
0
x [ h-1 Mpc ]
1
2
“theoretical” threshold (towards SKA)
Radio Phenomenon in Clusters
10-3
Sν [ mJy arcmin-2 ]
2
Radio phenomenology
Cosmic ray transport
Overview
Observations
Radio gischt emission
Relic luminosity function – theory
Relic luminosity function → magnetic field behaviour and dynamical state:
10-2
10-1
Fν [mJy] for a cluster @ z ~ 0.05
100
101
102
103
104
10-2
10-1
Fν [mJy] for a cluster @ z ~ 0.05
100
101
102
ν = 150MHz, B0 = 5 µG
αB = 0.3
αB = 0.5
αB = 0.7
αB = 0.9
104
B0 = 10 µG
B0 = 5 µG
B0 = 2.5 µG
10
Number of relics
Number of relics
10
103
ν = 150MHz, αB = 0.5
1
25
1
26
27
log(Jν /Jν0 ),
28
29
30
31
32
Jν0 = 1 erg/Hz/s/ster
varying magnetic decline with radius
Christoph Pfrommer
25
26
27
log(Jν /Jν0 ),
28
29
30
Jν0 = 1 erg/Hz/s/ster
varying overall magnetic strength
Radio Phenomenon in Clusters
31
32
Overview
Observations
Radio gischt emission
Radio phenomenology
Cosmic ray transport
Rotation measure (RM)
RM maps and power spectra have the potential to infer the magnetic
pressure support and discriminate the nature of MHD turbulence in clusters:
arcmin
0
-5
5
5
75
0
-0.2
-75
-5
-0.4
10-6
1
P[RM](k) k2 [rad2 m-4]
0
RM [ rad m-2 ]
0.0
arcmin
y [ Mpc ]
0.2
P[RM] (k)
P[Bz] (k)
10
10-7
MFR1
MFR2
MFR3
10
1
-150
-0.4
-0.2
0.0
x [ Mpc ]
0.2
0.4
1
10
k [h Mpc-1]
100
Left: RM map of the largest relic, right: Magnetic and RM power spectrum comparing
Kolmogorow and Burgers turbulence models.
Christoph Pfrommer
Radio Phenomenon in Clusters
P[Bz](k) k2 [µG2 Mpc]
P[RM](k) k2 [rad2 m-4]
150
0.4
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Outline
1
Radio phenomenology
Overview
Observations
Radio gischt emission
2
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Which one is the simulation/observation of A2256?
red/yellow: thermal X-ray emission,
blue/contours: 1.4 GHz radio emission with giant radio halo and relic
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Observation – simulation of A2256
Clarke & Enßlin (2006)
C.P. & Battaglia (in prep.)
red/yellow: thermal X-ray emission,
blue/contours: 1.4 GHz radio emission with giant radio halo and relic
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio halo theory – (i) hadronic model
pCR + p → π ± → e±
strength:
all required ingredients available:
shocks to inject CRp, gas protons as targets, magnetic fields
predicted luminosities and morphologies as observed without
tuning
power-law spectra as observed
weakness:
all clusters should have radio halos
does not explain all reported spectral features
...
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio halo theory – (i) hadronic model
pCR + p → π ± → e±
strength:
all required ingredients available:
shocks to inject CRp, gas protons as targets, magnetic fields
predicted luminosities and morphologies as observed without
tuning
power-law spectra as observed
weakness:
all clusters should have radio halos
does not explain all reported spectral features
...
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio halo and spectrum in the Bullet cluster
Liang et al. (2000): SZ-corrected
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - X-ray luminosity
100.0
P1.4 GHz [1031 erg s−1 Hz−1 ]
radio halos
radio mini-halos
10.0
1.0
0.1
1
10
LX (0.1 − 2.4 keV) [1044 erg s−1 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - X-ray luminosity
100.0
P1.4 GHz [1031 erg s−1 Hz−1 ]
radio halos
radio mini-halos
10.0
1.0
0.1
1
10
LX (0.1 − 2.4 keV) [1044 erg s−1 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - X-ray luminosity
100.0
P1.4 GHz [1031 erg s−1 Hz−1 ]
radio halos
radio mini-halos
10.0
1.0
0.1
1
10
LX (0.1 − 2.4 keV) [1044 erg s−1 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - central entropy
P1.4 GHz [1031 erg s−1 Hz−1 ]
100.0
10.0
1.0
0.1
10
100
K0 [keV cm2 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
1000
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - central entropy
P1.4 GHz [1031 erg s−1 Hz−1 ]
100.0
Cool cores
Non−cool cores
10.0
1.0
0.1
10
100
K0 [keV cm2 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
1000
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - central entropy
P1.4 GHz [1031 erg s−1 Hz−1 ]
100.0
10.0
1.0
0.1
10
100
K0 [keV cm2 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
1000
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio luminosity - central entropy
P1.4 GHz [1031 erg s−1 Hz−1 ]
100.0
10.0
1.0
0.1
10
100
K0 [keV cm2 ]
Christoph Pfrommer
Radio Phenomenon in Clusters
1000
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio phenomenology
Cosmic ray transport
Proton cooling times
proton loss timescales, τ = E/Ė [Gyr]
104
103
hadronic
ne = 10−4 cm−3
102
ne = 10−3 cm−3
101
ne = 10−2 cm−3
100
10-1
10-2
10-3
10-2
Coulomb
10-1
100
101
102
103
104
kinetic proton energy E [GeV]
Christoph Pfrommer
Radio Phenomenon in Clusters
105
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio phenomenology
Cosmic ray transport
Proton cooling times
proton loss timescales, τ = E/Ė [Gyr]
104
103
hadronic
ne = 10−4 cm−3
102
ne = 10−3 cm−3
101
Hubble
ne = 10−2 cm−3
100
10-1
10-2
10-3
10-2
Coulomb
10-1
100
101
102
103
104
kinetic proton energy E [GeV]
Christoph Pfrommer
Radio Phenomenon in Clusters
105
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio halo theory – (ii) re-acceleration model
strength:
all required ingredients available:
radio galaxies & relics to inject CRe, plasma waves to re-accelerate, . . .
reported complex radio spectra emerge naturally
clusters without halos ← less turbulent
weakness:
Fermi II acceleration is inefficient – CRe cool rapidly
observed power-law spectra require fine tuning
...
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio halo theory – (ii) re-acceleration model
strength:
all required ingredients available:
radio galaxies & relics to inject CRe, plasma waves to re-accelerate, . . .
reported complex radio spectra emerge naturally
clusters without halos ← less turbulent
weakness:
Fermi II acceleration is inefficient – CRe cool rapidly
observed power-law spectra require fine tuning
...
Christoph Pfrommer
Radio Phenomenon in Clusters
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio phenomenology
Cosmic ray transport
Electron cooling times
104
electron loss timescales, τ = E/Ė [Gyr]
103
synchrotron + IC:
B = 1 µG
B = 3 µG
2
10
101
B = 10 µG
Hubble
100
10-1
Coulomb:
ne [cm−3 ] =
10−4
10−3
total loss
10−2
10-2
10-3
10-5
10-4
10-3
10-2
10-1
100
101
kinetic electron energy E [GeV]
Christoph Pfrommer
Radio Phenomenon in Clusters
102
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio phenomenology
Cosmic ray transport
Electron cooling times
104
electron loss timescales, τ = E/Ė [Gyr]
103
synchrotron + IC:
B = 1 µG
B = 3 µG
2
10
101
B = 10 µG
Hubble
100
10-1
Coulomb:
ne [cm−3 ] =
10−4
10−3
total loss
10−2
10-2
10-3
10-5
10-4
10-3
10-2
10-1
100
101
kinetic electron energy E [GeV]
Christoph Pfrommer
Radio Phenomenon in Clusters
102
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio phenomenology
Cosmic ray transport
Electron cooling times
104
electron loss timescales, τ = E/Ė [Gyr]
103
synchrotron + IC:
B = 1 µG
B = 3 µG
2
10
101
B = 10 µG
Hubble
100
10-1
Coulomb:
ne [cm−3 ] =
10−4
10−3
total loss
10−2
10-2
10-3
10-5
10-4
10-3
10-2
10-1
100
101
kinetic electron energy E [GeV]
Christoph Pfrommer
Radio Phenomenon in Clusters
102
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Radio halos in low-luminosity clusters
A challenge to the re-acceleration scenario or incomplete point source subtraction?
A523 at 1.4 GHz
(Giovannini+ 2011)
Christoph Pfrommer
P1.4 −LX relation with “outliers”
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Particle acceleration by turbulence or shocks?
Diffuse low-frequency radio emission in Abell 521 (Brunetti et al. 2008)
colors: thermal X-ray emission; contours: diffuse radio emission.
“radio relic” interpretations with aged population of shock-accelerated
electrons or shock-compressed radio ghosts (aged radio lobes),
“radio halo” interpretation with re-acceleration of relativistic electrons
through interactions with MHD turbulence.
→ synchrotron polarization is key to differentiate!
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Cosmic ray transport – magnetic flux tube with CRs
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Cosmic ray advection
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Adiabatic expansion and compression
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Cosmic ray streaming
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Expanded CRs
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Turbulent pumping
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Turbulent pumping
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Turbulent-to-streaming ratio
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Are CRs confined to magnetic flux tubes?
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Escape via diffusion: energy dependence
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
CR transport theory
CR continuity equation in the absence of sources and sinks:
∂% ~
+ ∇ · (υ %) = 0
∂t
υst = −υst
υ = υad + υdi + υst
~ %
∇
~ %|
|∇
1~
∇%
%
η ~%
= −κtu ∇
% η
υdi = −κdi
υad
κtu =
Ltu υtu
3
Enßlin, C.P., Miniati, Subramanian, 2011, A&A, 527, 99
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
CR profile due to advection
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
CR density profile
γtu = υυtu
st
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
CR density at fixed particle energy
γtu = υυtu
st
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Gamma-ray emission profile
pCR + p → π 0 → 2γ
γtu = υυtu
st
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Gamma-ray luminosity
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
pCR + p → π 0 → 2γ
γtu = υυtu
st
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
γ-ray limits and hadronic predictions (Ackermann et al. 2010)
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Eγ2
dFγ
[GeV cm−2 s−1 ]
dEγ
γ-ray limits and hadronic predictions (Pinzke et al. 2011)
CR-π0
10-8
Eγ = 1-10 GeV
10-9
10-10
A0085
10-11
3C129
dFγ
[GeV cm−2 s−1 ]
dEγ
Eγ2
dFγ
[GeV cm−2 s−1 ]
dEγ
A2142
A2029
0.4
A2199
A2163
0.6
A2256
0.8
1.0
Eγ = 1-10 GeV
10-9
10-10
A2319
10-11
A3376
A3266
0.0
Eγ2
A1914
A1689
0.2
CR-π0
10-8
A1367
A0754
0.0
CR-π0
10-8
A3888
A3571
0.2
Antlia
AWM7
0.4
0.6
Coma
Centaurus
Hydra
Fornax
0.8
1.0
Eγ = 1-10 GeV
10-9
10-10
10-11
M49
0.0
NGC4636
NGC5813
Norma
Perseus
Virgo
NGC5044
NGC5846
Ophiuchus
Triangulum
0.2
0.4
Christoph Pfrommer
0.6
0.8
Radio Phenomenon in Clusters
1.0
Radio phenomenology
Cosmic ray transport
Radio emission profile
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
pCR + p → π ± → e± → radio
γtu = υυtu
st
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Radio luminosity
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
pCR + p → π ± → e± → radio
γtu = υυtu
st
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Conclusions on cosmic ray transport
streaming & diffusion produce spatially flat CR profiles
advection
produces centrally enhanced CR profiles
→ profile depends on advection-to-streaming-velocity ratio
turbulent
velocity ∼ sound speed ← cluster merger
CR streaming velocity ∼ sound speed ← plasma physics
→ peaked/flat CR profiles in merging/relaxed clusters
energy dependence of υstmacro → CR & radio spectral variations
→ outstreaming CR: dying halo ← decaying turbulence
→ bimodality of cluster radio halos & gamma-ray emission!
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Conclusions on cosmic ray transport
streaming & diffusion produce spatially flat CR profiles
advection
produces centrally enhanced CR profiles
→ profile depends on advection-to-streaming-velocity ratio
turbulent
velocity ∼ sound speed ← cluster merger
CR streaming velocity ∼ sound speed ← plasma physics
→ peaked/flat CR profiles in merging/relaxed clusters
energy dependence of υstmacro → CR & radio spectral variations
→ outstreaming CR: dying halo ← decaying turbulence
→ bimodality of cluster radio halos & gamma-ray emission!
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Conclusions on cosmic ray transport
streaming & diffusion produce spatially flat CR profiles
advection
produces centrally enhanced CR profiles
→ profile depends on advection-to-streaming-velocity ratio
turbulent
velocity ∼ sound speed ← cluster merger
CR streaming velocity ∼ sound speed ← plasma physics
→ peaked/flat CR profiles in merging/relaxed clusters
energy dependence of υstmacro → CR & radio spectral variations
→ outstreaming CR: dying halo ← decaying turbulence
→ bimodality of cluster radio halos & gamma-ray emission!
Christoph Pfrommer
Radio Phenomenon in Clusters
Radio phenomenology
Cosmic ray transport
Observations and models
CR pumping, streaming, and diffusion
Radio and gamma-ray bimodality
Literature for the talk
Enßlin, Pfrommer, Miniati, Subramanian, 2011, A&A, 527, 99,
Cosmic ray transport in galaxy clusters: implications for radio halos, gamma-ray
signatures, and cool core heating
Battaglia, Pfrommer, Sievers, Bond, Enßlin, 2009, MNRAS, 393, 1073,
Exploring the magnetized cosmic web through low frequency radio emission
Christoph Pfrommer
Radio Phenomenon in Clusters

Similar documents