Abstract
This chapter is devoted to one of the most successful models for the description of strongly interacting matter in the hadronic phase: the Hadron Resonance Gas (HRG) model. We start by introducing the model in Hagedorn’s original formulation, which includes an exponential hadron mass spectrum. We then present a more recent version of the model, in which the resonance spectrum is taken from the Particle Data Book. We discuss possible model extensions, which include excluded volume corrections and Van der Waals interaction. We then discuss applications of the model, ranging from comparison to lattice QCD predictions to thermal fits of experimental particle yields and fluctuations.
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