Phenomenological Equation of State of Strongly Interacting Matter with First-Order Phase Transitions and Critical Points

Abstract

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and density dependent available-volume fractions. A parametrisation of this dependence is presented for which at low temperatures and suprasaturation densities a first-order phase transition is obtained. It changes for increasing temperatures to a crossover transition via a critical endpoint. This provides a benchmark case for studies of the role of such a point in hydrodynamic simulations of ultrarelativistic heavy-ion collisions. The approach is thermodynamically consistent and extendable to finite isospin asymmetries that are relevant for simulations of neutron stars, their mergers and core-collapse supernova explosions.

10 pages, 2 figures, contribution to Special Issue of "Universe", proceedings of the conference "Compact Stars in the QCD Phase Diagram VI", 26-29 September 2017, Dubna

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• Hard-core Radius of Nucleons within the Induced Surface Tension Approach
• On separate chemical freeze-outs of hadrons and light (anti)nuclei in high energy nuclear collisions
• A unified quark-nuclear matter equation of state from the cluster virial expansion within the generalized Beth-Uhlenbeck approach
• Strangeness and light fragment production at high baryon density