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We review J. Zimanyi's key contributions to the theoretical understanding ofdynamical freeze-out in nuclear collisions and their subsequent applications toultra-relativistic heavy-ion collisions, leading to the discovery of afreeze-out hierarchy where chemical freeze-out of hadron yields precedes thethermal decoupling of their momentum spectra. Following Zimanyi's lines ofreasoning we show that kinetic freeze-out necessarily leads to a dependence ofthe corresponding freeze-out temperature on collision centrality. Thiscentrality dependence can be predicted within hydrodynamic models, and forAu+Au collisions at RHIC this prediction is shown to reproduce theexperimentally observed centrality dependence of the thermal decouplingtemperature, extracted from hadron momentum spectra. The fact that no suchcentrality dependence is observed for the chemical decoupling temperature,extracted from the hadron yields measured in these collisions, excludes asimilar kinetic interpretation of the chemical decoupling process. We arguethat the chemical decoupling data from Au+Au collisions at RHIC can only beconsistently understood if the chemical freeze-out process is driven by a phasetransition, and that the measured chemical decoupling temperature thereforemeasures the critical temperature of the quark-hadron phase transition. Wepropose additional experiments to further test this interpretation.

Jozso's Legacy: Chemical and Kinetic Freeze-out in Heavy-Ion Collisions