Phase transitions and critical behavior in hadronic transport with a relativistic density functional equation of state

Abstract

We develop a flexible, relativistically covariant parameterization of dense nuclear matter equation of state suited for inclusion in computationally demanding hadronic transport simulations. Within an implementation in the hadronic transport code SMASH, we show that effects due to bulk thermodynamic behavior are reproduced in dynamic hadronic systems, demonstrating that hadronic transport can be used to study critical behavior in dense nuclear matter, both at and away from equilibrium. We also show that two-particle correlations calculated from hadronic transport simulation data follow theoretical expectations based on the second order cumulant ratio, and constitute a clear signature of crossing the phase diagram above the critical point.

31 pages, 14 figures. Revised version to be published in PRC (in press). We added a discussion of correlations in hadronic transport and improved the proof of the relationship between the second order cumulant and the pair distribution function at close distances

References in corpus (8)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Fully integrated transport approach to heavy ion reactions with an intermediate hydrodynamic stage
• Sound velocity bound and neutron stars
• Constraining the Eq. of State of Super-Hadronic Matter from Heavy-Ion Collisions
• Comparison of Heavy-Ion Transport Simulations: Mean-field Dynamics in a Box
• Equation of state dependence of directed flow in a microscopic transport model
• Quantum van der Waals and Walecka models of nuclear matter
• Nuclear collective dynamics in the lattice Hamiltonian Vlasov method

Cited by in corpus (27)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Comparison of Heavy-Ion Transport Simulations: Mean-field Dynamics in a Box
• The Present and Future of QCD
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Mean-field update in the JAM microscopic model: Mean-field effects on collective flow in high-energy heavy-ion collisions at $\sqrt{s_{NN}}=2-20$ GeV energies
• Sensitivity of Au+Au collisions to the symmetric nuclear matter equation of state at 2 -- 5 nuclear saturation densities
• The high-density equation of state in heavy-ion collisions: Constraints from proton flow
• Directed flow of $\Lambda$ in high-energy heavy-ion collisions and $\Lambda$ potential in dense nuclear matter
• Structure in the speed of sound: from neutron stars to heavy-ion collisions
• Phase transition amplification of proton number fluctuations in nuclear collisions from a transport model approach
• Holographic approach of the spinodal instability to criticality
• Cooper-Frye sampling with short-range repulsion
• Molecular dynamics analysis of particle number fluctuations in the mixed phase of a first-order phase transition
• Coordinate versus momentum cuts and effects of collective flow on critical fluctuations
• Rapidity scan approach for net-baryon cumulants with a statistical thermal model
• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
• Bayesian inference of nuclear incompressibility from collective flow in mid-central Au+Au collisions at 400--1500 MeV/nucleon
• Effects of phase transition in hybrid stars from quark-meson coupling hadronic matter to deconfined quark matter
• Density Functional Equation of State and Its Application to the Phenomenology of Heavy-Ion Collisions
• Search for the QCD Critical Point in High Energy Nuclear Collisions: A Status Report
• SMASH as an event generator for heavy-ion collisions
• A Chiral Mean-Field Equation-of-State in UrQMD: Effects on the Heavy Ion Compression Stage
• Phase transitions and finite-size effects in integrable virial statistical models
• Covariant formulation of relativistic quantum molecular dynamics for a system of interacting wave packets
• Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow
• Transport Model Comparison Studies of Intermediate-Energy Heavy-Ion Collisions