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Wang 2000; Chandra obs of NGC4632. Frenk, Bauch Cole, Lacey. Hydrostatic Equilirium of Gas in DM potential wells. Radiative Cooling: I Collisional Excitation. v. T ~ 10 5 - 10 8 K. j. g. i. v. hv=E ij. Condition: En. of Elettrons E ≈ KT > D E lu. Collision rate.
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Wang 2000; Chandra obs of NGC4632. Frenk, Bauch Cole, Lacey
Hydrostatic Equilirium of Gas in DM potential wells
Radiative Cooling: I Collisional Excitation v T ~ 105 - 108 K j g i v hv=Eij Condition: En. of Elettrons E ≈ KT > D Elu Collision rate Number of electrons above the threshold s 2 ~ 1/v 2 ( Coulomb focussing) x Quantum factors
Log L exp(-DE/T) T1/2 Log T
Radiative Cooling: II Free-Free Emission At temperatures T>106 K (DM haloes wth M>1013 Mʘ) the gas is completely ionized. The emission is due to bremsstrahlung from free electrons Log L T1/2 6 Log T
DE for Hydrogen DE for Helium exp(-DE/T) exp(-DE/T) Log L T1/2 + + T1/2 T1/2 6 Log T Log T Log T Cooling Function =
Cooling Radius To be compared with In high-density (inner) regions the cooling time is shorter than the galaxy survival time A fractionDmcoolof the available gasWbar Mis able to radiatively cool
Rees & Ostriker 1977 Cores of galaxy Clusters Clusters Galaxies Galaxies Clusters
DM Disks Assume that, durung collapse, the ratio of the ratio is conserved gas Assuming an exponential Surf. Dens. Jgas = Gas Angul. Mom. J = DM Angul. Mom. Assuming centrifugal balance DM angular momentum aquired from tidal torques due to surrounding perturbations For particles in circular orbits lmed=0.04 sl=0.53 Mo, Mao, White 1997 Warren et al.92