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J ∝ ξ e f acc f T. 10 0. J ∝ ξ e. 10 -1. ε 2 dJ/dε[keV s -1 cm -2 sr -1 ]. IC. syn. 10 -2. log 10 M/M ⊙. log 10 M/M ⊙. ε[eV]. 10 -3. GeV. MeV. keV. f acc. f T. North. z. f r. South. 10 5. 10 0. energy cutoff γ max :. cooling limited.
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J ∝ ξefacc fT 100 J ∝ ξe 10-1 ε2dJ/dε[keV s-1 cm-2 sr-1] IC syn 10-2 log10M/M⊙ log10M/M⊙ ε[eV] 10-3 GeV MeV keV facc fT North z fr South 105 100 energy cutoff γmax: cooling limited Non-Thermal Radiation from Intergalactic Shocks Uri Keshet1, Eli Waxman1, Abraham Loeb2, Volker Springel3, and Lars Hernquist2 1) Weizmann Institute of Science; 2) Harvard University; 3) Max Planck Institute for Astrophysics Max Planck Institute for Astrophysics GAMMA-RAY SIGNAL Spectrum Source Number Count • Conclusions: • IGM ≥ 10% of EGRB flux • > a dozen GLAST sources for ξe>0.03 • Cross-correlation with LSS (e.g. Scharf & Mukherjee 2002) CONCEPT TREE-SPH COSMOLOGICAL SIMULATION EGRET non-calibrated N(>F) ξe=5% GLAST EGRET ξe=5% Intergalactic shocks emit radiation in the following process: non-calibrated calibrated Converging flows during structure formation (SF) simulation J ∝ ξe Collisionless shocks Electron acceleration calibrated model simulation Inverse-Compton (of CMB photons) and synchrotron emission The emission from strong shocks dominates the radiation from the periphery of galaxy clusters and from galaxy filaments; traces LSS F[ph s-1 cm-2] RADIO SKY SHOCK IDENTIFICATION ANALYTICAL MODEL Radio sky brightness Intensity fluctuations δIℓ on 00.5 scales Cooling is inefficient in the relevant regions (panel 1) Adiabatic simulations suffice Entropy changes (panel 2) of SPH particles trace the shocks (panel 4) Approximations: 1) Large scale structure (LSS) composed of halos 2) Halo mass distribution: isothermal sphere 3) Strong shocks only e.g. according to the Press-Schechter halo mass function Panel 1: phase space with tcool/tH contours Panel 2: histogram of entropy change ΔS*≡ ΔS/CV accumulated by SPH particles in the epoch 0<z<2 IGM shocks ∫dN/dΔS* very dense, beyond shocks γ dN/dΔS* 10-1 104 γ Galactic synchrotron ∝ℓ-1/2 10-2 ~ const for 400<ℓ<4000 Halo Parameters: M- mass T - temperature rsh - shock radius - mass accretion rate 103 discrete sources ∝ℓ total CMB e- e- M M Translates ΔS* to Mach number M 10-3 102 M,T Particles with ΔS* above the cutoff trace all shocks of Mach number M>4 ERB estimates Galactic 10-4 101 synchrotron M=4 already cold rsh IGM shocks 21 cm tomography CMB γ 100 γ Halo Dimensional Analysis: Panel 3: density slice (100x100x10 Mpc) n[cm-3] Bremsstrahlung from Lyα clouds n[cm-3] Panel 4: same density slice as shown in panel 3, but including the M>4 shocked particles only MHz ν [MHz] isothermal sphere: IGM fluctuation dominate on 1’-00.5 scales IGM shocks: significant fraction of the ERB Mpc Mpc facc EXTRAGALACTIC GAMMA-RAY BACKGROUND Shock fronts may be identified velocity dispersion fT modeled EGRB [ref 7] 408 MHz • Previous EGRB estimates are: • Non isotropic on large scale • Correlated with Galactic tracers • High (≈ total polar intensity) Previous estimate Hubble’s coefficient unknown dimensionless parameters Mpc Mpc effective mass fr (Sreekumar et al. 1998) INTEGRATED EMISSION Relativistic Electron Distribution Fit EGRET latitude profile as a sum of 2 components; one linear in a Galactic gas tracer and the other linear in a synchrotron tracer: EGRET >100 MeV Results: Robust EGRB flux upper limit (~1/3 of previous estimates) 70% syn. tracer (22 GHz) Strong shocks Simulated sky J/<J> • Conclusions: • >10 sources well resolved by GLAST (for ξe≈0.05) • γ-ray clusters: targets for MAGIC, HESS, VERITAS • γ-ray morphology: accretion rings with bright emission at filament intersections 30% gas tracer (21 cm) >100 MeV North Δθ=42’ South Parameterization (no complete model): log10T J/<J> >10 GeV electron energy ξe≈5% (2.5%-7.5%) magnetic energy ξB≈1% (0.05%-2%) SNR observations CONCLUSIONS AND IMPLICATIONS % out of shock thermal energy Bcluster ≈ 0.1μG Δθ=12’ deg • Conclusions • γ-ray sources detectable by GLAST and Ćerenkov detectors • Signal fluctuations dominate the radio sky on ~1’-0.50 scales • Indirect detection, e.g. cross correlations with LSS tracers • Extragalactic backgrounds: EGRB low, ERB unknown • Calibrated analytical model, fast shock identification in SPH • Implications of signal detection • First identification of intergalactic shocks • Reconstruction of large-scale flows • Tracer of warm-hot IGM (WHIM) • Probe of intergalactic magnetic fields Emitted Radiation: halo luminosity: deg Mpc MODEL CALIBRATION Integration over halo abundance: (images: the integrands in the mass-redshift plane) Model halo parameters (column 1) are calibrated with various features of the simulation (column 2). Agreement between the radiation fields extracted from the simulation and from the calibrated model (column 3) provides an independent check of the calibration scheme. BIBLIOGRAPHY “Cosmic γ-ray background from structure formation in the intergalactic medium”, Loeb and Waxman 2000, Nature, 405, 156-158 “Fluctuations in the radio background from intergalactic synchrotron emission”, Waxman and Loeb 2000, The Astrophysical Journal, 545, L11-L14 “Gamma rays from intergalactic shocks”; Keshet, Waxman, Loeb, Springel and Hernquist 2003, The Astrophysical Journal, 585, 128-150 “The case for a low extragalactic gamma-ray background”; Keshet, Waxman and Loeb 2004, Journal of Cosmology and Astrophysics, 04 (006) “Imprint of Intergalactic shocks on the radio sky”; Keshet, Waxman and Loeb 2004, submitted to ApJ [astro-ph/0402320] “A statistical detection of γ-ray emission from galaxy clusters…”, Scharf & Mukherjee 2002, The Astrophysical Journal 580, 154-163 “EGRET observations of the extragalactic gamma-ray emission”, Sreekumar et al. 1998, The Astrophysical Journal 494, 523-534 z