Sunyaev-Zel'dovich scaling relations from a simple phenomenological model for galaxy clusters

Abstract

We build a simple, {\it top-down} model for the gas density and temperature profiles for galaxy clusters. The gas is assumed to be in hydrostatic equilibrium along with a component of non-thermal pressure taken from simulations and the gas fraction approaches the cosmic mean value only at the virial radius or beyond. The free parameters of the model are the slope and normalisation of the concentration-mass relation, the gas polytropic index, and slope and normalisation of the mass-temperature relation. These parameters can be fixed from X-Ray and lensing observations. We compare our gas pressure profiles to the recently proposed `Universal' pressure profile by \cite{Arnaud09} and find very good agreement. We find that the Sunyaev-Zel'dovich Effect (SZE) scaling relations between the integrated SZE flux, $Y$, the cluster gas temperature, $T_{\mathrm{sl}}$, the cluster mass, $M_{\mathrm{tot}}$, and the gas mass, $M_{\mathrm{gas}}$ are in excellent agreement with the recently observed $r_{2500}$ SZE scaling relations by \cite{Bonamente08} and $r_{500}$ relation by \cite{Arnaud09}. The gas mass fraction increases with cluster mass and is given by $f_{\mathrm{gas}}(r_{500})=0.1324+0.0284\log (\frac{{\mathrm{M}}_{500}}{10^{15}{\mathrm{h}}^{-1}{\mathrm{M}}_{\odot }})$. This is within $10$ of observed $f_{\mathrm{gas}}(r_{500})$. The consistency between the global properties of clusters detected in X-Rays and in SZE shows that we are looking at a common population of clusters as a whole, and there is no deficit of SZE flux relative to expectations from \xr scaling properties. Thus, it makes it easier to compare and cross-calibrate clusters from upcoming \xr and SZE surveys.

13 pages, 4 figures, 1 table accepted in ApJL

References in corpus (16)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The universal galaxy cluster pressure profile from a representative sample of nearby systems (REXCESS) and the Y_SZ-M_500 relation
• Testing X-ray Measurements of Galaxy Clusters with Cosmological Simulations
• Temperature profiles of a representative sample of nearby X-ray galaxy clusters
• Simulations of the Microwave Sky
• Simulations of AGN feedback in galaxy clusters and groups: impact on gas fractions and the Lx-T scaling relation
• Simulations of the Sunyaev-Zel'dovich Power Spectrum with AGN Feedback
• LoCuSS: Comparison of Observed X-ray and Lensing Galaxy Cluster Scaling Relations with Simulations
• Evidence for Non-Hydrostatic Gas from the Cluster X-ray to Lensing Mass Ratio
• The Observed Concentration-Mass Relation for Galaxy Clusters
• A statistically-selected Chandra sample of 20 galaxy clusters -- I. Temperature and cooling time profiles
• Exploring the Energetics of Intracluster Gas with a Simple and Accurate Model
• LoCuSS: A Comparison of Sunyaev-Zel'dovich Effect and Gravitational Lensing Measurements of Galaxy Clusters
• An Analytic Model of the Physical Properties of Galaxy Clusters
• X-ray modelling of galaxy cluster gas and mass profiles
• Sunyaev-Zel'dovich profiles and scaling relations: modelling effects and observational biases

Cited by in corpus (8)

• On the Cluster Physics of Sunyaev-Zel'dovich Surveys I: The Influence of Feedback, Non-thermal Pressure and Cluster Shapes on Y-M Scaling Relations
• Bispectrum of the Sunyaev-Zel'dovich Effect
• Teaching neural networks to generate Fast Sunyaev Zel'dovich Maps
• Energy Deposition Profiles and Entropy in Galaxy Clusters
• AGN feedback and entropy injection in galaxy cluster cores
• AGN feedback with the Square Kilometer Array (SKA) and implications for cluster physics and cosmology
• Intracluster gas pressure, entropy injection and redshift evolution
• Heating of the intracluster medium by buoyant bubbles and sound waves