The local growth global reset (LGGR) dynamical model is reviewed and its performance in describing the hadron energy spectra in relativistic collisions is demonstrated.

It is shown that even for dynamical processes a temperature-like quantity can be defined and distributions resembling statistical equilibrium can be reached.

With appropriate growth and reset rates the LGGR model is capable of describing the right energy spectra.

These findings draw a certain picture of quark–gluon plasma development with random hadronization and re-swallowing steps and signals the fact that observing an exponential spectrum does not necessarily prove thermal equilibrium in the experiment.

T. S. Biró, Z. Néda, Thermodynamical Aspects of the LGGR Approach for Hadron Energy Spectra, Symmetry 14(9) (2022) 1807.