Speed of sound in QCD matter

Abstract

We systematically investigate the speed of sound in QCD matter under different conditions in the grand canonical ensemble within the Polyakov loop improved Nambu--Jona-Lasinio (PNJL) model. The numerical results indicate that the dependence of speed of sound on parameters like temperature and chemical potential can be indicative of QCD phase transition. Some new features of speed of sound are discovered, for instance, the hierarchy of sound velocity for $u(d)$ and $s$ quark at low temperature with the increasing chemical potential and the squared sound velocity approaching to almost zero in the critical region. We also formulate the relations between differently defined sound velocity using the fundamental thermodynamic relations. Some conclusions derived are useful for hydrodynamics simulation and calculation of transport coefficient of bulk viscosity.

8 pages, 9 figures

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Cited by in corpus (8)

• Speed of sound and liquid-gas phase transition in nuclear matter
• Anisotropy of magnetized quark matter
• Speed of sound and polytropic index in QCD matter
• An Augmented QCD Phase Portrait: Mapping Quark-Hadron Deconfinement for Hot, Dense, Rotating Matter under Magnetic Field
• Viscosity of non equilibrium hot $\&$ dense QCD drop formed at LHC
• Quark matter with an anisotropic momentum distribution
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description
• Impact of spin polarization on transport and thermodynamic coefficients