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Article Contents

ABSTRACT

1.INTRODUCTION

2.COSMOLOGICAL FRAMEWORK AND PERTURBATION GROWTH IN THE LINEAR REGIME

2.1.Cosmological standard model

2.2.The Linear power spectrum

2.3.Growth of fluctuations in the linear regime

3.ANALYTIC MODELS FOR NONLINEAR GROWTH, VIRIAL SCALING RELATIONS, AND HALO STATISTICS

3.1.Nonlinearity defined

3.2.Spherical Top-Hat Model

3.3.Virial Scaling Relations

3.4.Statistics of hierarchical clustering: Press-Schechter theory

3.5.Validating the Halo Mass Function using N-body Simulations

3.6.Application to galaxy clusters

4.NUMERICAL SIMULATIONS OF GAS IN GALAXY CLUSTERS

4.1.Dynamic range considerations

4.2.Simulating cluster formation

4.3.Numerical methods overview

4.4.Structure of nonradiative clusters: the Santa Barbara test cluster

4.5.Effect of additional physics

5.RECENT PROGRESS IN GALAXY CLUSTER MODELING

5.1.Improved Treatment of Galaxy Feedback: GALCONS

5.2.AGN Feedback: X-ray Cavity Formation by a Magnetized Jet

5.3.ICM Turbulence

5.4.Origin of Cluster-Wide Magnetic Fields

6.STATISTICAL ENSEMBLES AND LIGHTCONES

6.1.Mock SZE Surveys

REFERENCES