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Equilibrium properties of infinite relativistic hadron matter areinvestigated using the Ultrarelativistic Quantum Molecular Dynamics (UrQMD)model. The simulations are performed in a box with periodic boundaryconditions. Equilibration times depend critically on energy and baryondensities. Energy spectra of various hadronic species are shown to be isotropicand consistent with a single temperature in equilibrium. The variation ofenergy density versus temperature shows a Hagedorn-like behavior with alimiting temperature of 130$\pm$10 MeV. Comparison of abundances of differentparticle species to ideal hadron gas model predictions show good agreement onlyif detailed balance is implemented for all channels. At low energy densities,high mass resonances are not relevant; however, their importance raises withincreasing energy density. The relevance of these different conceptualframeworks for any interpretation of experimental data is questioned.Comment: Latex, 20 pages including 6 eps-figure

Equation of state, spectra, and composition of hot and dense infinite hadronic matter in a microscopic transport model