Kinetic approaches to phase transitions in strongly interacting matter

Strongly interacting matter manifests a very rich dynamical behavior and the associated phase diagram was intensively explored through heavy ions collisions during the last years. Around Fermi energies the nuclear multifragmentation shows up analogies with the liquid-gas phase transition. Within a microscopic transport model based on Boltzmann-Nordheim-Vlasov equation we investigate the kinetics of this process as well as the features related to the two-component character of the nuclear matter. The evolution of the fragmentation mechanism with the centrality and the role of various instabilities are also discussed. At ultra-relativistic energies recent results from RHIC and LHC experiments evidenced the manifestation of quarks and gluons degrees of freedom during the evolution of the hot fireball created in these collisions. Based on a relativistic transport model we inquire upon the role of chiral symmetry breaking on the collective features of expanding quark-gluon plasma.