Chiral fluid dynamics with explicit propagation of the Polyakov loop

Abstract

We present a fully dynamical model to study nonequilibrium effects in both the chiral and the deconfinement phase transition. The sigma field and the Polyakov loop as the corresponding order parameters are propagated by Langevin equations of motion. The locally thermalized background is provided by a fluid of quarks and antiquarks. Allowing for an exchange of energy and momentum through dissipative and stochastic processes we ensure that the total energy of the coupled system remains conserved. We study its relaxational dynamics in different quench scenarios and are able to observe critical slowing down as well as the enhancement of long wavelength modes at the critical point. During the fluid dynamical expansion of a hot plasma fireball typical nonequilibrium effects like supercooling and domain formation occur when the system evolves through the first order phase transition.

20 pages, 22 figures

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• The QCD Critical Point and Related Observables
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• Dilepton Signature of a First-Order Phase Transition
• Multiplicity fluctuations of net protons on the hydrodynamic freeze-out surface
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• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
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• Conserved Charge Fluctuations in a Chiral Hadronic Model including Hadrons and Quarks
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• A Monte Carlo framework for noncontinuous interactions between particles and classical fields
• Collective flow and hydrodynamics in large and small systems at the LHC
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• Hydrodynamic results on multiplicity fluctuations in heavy-ion collisions
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• The equilibrium and dynamical cumulants of QCD chiral order parameter with parametric Landau free energy
• Non-equilibrium cumulants within model A from crossover to first-order phase transition side
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• Kinetics of the chiral phase transition in a quark-meson $\sigma$-model
• Hydrodynamics of a quark droplet II: Implications of a non-zero baryon chemical potential
• Kinetics of Phase Transitions in Quark Matter
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• Observables of non-equilibrium phase transition
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• Cumulants of the chiral order parameter at lower RHIC energies
• Transport coefficients of chiral fluid dynamics using low-energy effective models
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