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We formulate a family of equations of state for Quantum Chromodynamics that exhibit critical features and obey the charge conservation conditions present in heavy-ion collisions (HICs). This construction utilizes the first-principle Lattice…

The only first principle knowledge of the QCD equation of state at finite baryonic density is given from Lattice QCD as a Taylor expansion around $\mu_B = 0$. The coefficients of such an expansion are currently available up to order ${\cal…

高能物理 - 唯象学 · 物理学 2018-01-25 Paolo Parotto

Transitions between different states of matter and their thermodynamic properties are described by the Equation of State (EoS). A universal representation of the EoS of Quantum Chromodynamics (QCD) for the wide range of phase diagram has…

高能物理 - 唯象学 · 物理学 2023-08-22 Maria Stefaniak , Klaus Werner , Johannes Jahan , Hanna Zbroszczyk

The equation of state (EoS) of strongly interacting matter at finite temperature and chemical potentials (baryon, charge, and strangeness) is a crucial input for hydrodynamic simulations of relativistic heavy-ion collisions. We construct a…

核理论 · 物理学 2026-04-27 Fu-Peng Li , Long-Gang Pang , Guang-You Qin

Supervised learning with a deep convolutional neural network is used to identify the QCD equation of state (EoS) employed in relativistic hydrodynamic simulations of heavy-ion collisions from the simulated final-state particle spectra…

高能物理 - 唯象学 · 物理学 2017-08-03 Long-Gang Pang , Kai Zhou , Nan Su , Hannah Petersen , Horst Stöcker , Xin-Nian Wang

We present a strangeness-neutral equation of state for QCD that exhibits critical behavior and matches lattice QCD results for the Taylor-expanded thermodynamic variables up to fourth-order in $\mu_B/T$. It is compatible with the SMASH…

高能物理 - 唯象学 · 物理学 2021-03-16 J. M. Stafford , D. Mroczek , A. R. Nava Acuna , J. Noronha-Hostler , P. Parotto , D. R. P. Price , C. Ratti

We construct the equation of state (EoS) of QCD based on the finite chemical potential information from the functional QCD approaches, with the assistance of the lattice QCD EoS. The obtained EoS is consistent with the up-to-date…

高能物理 - 唯象学 · 物理学 2023-10-27 Yi Lu , Fei Gao , Bao-Chi Fu , Hui-Chao Song , Yu-Xin Liu

A key question about the QCD phase diagram is whether there is a critical point somewhere on the boundary between the hadronic and quark-gluon plasma phases, and if so where. Heavy-ion collisions offer a unique opportunity to search for…

We construct a family of equations of state for QCD in the temperature range 30 MeV $\leq T\leq$ 800 MeV and in the chemical potential range $0\leq \mu_B \leq$ 450 MeV. These equations of state match available lattice QCD results up to…

The interactions of quarks and gluons are strong at non-perturbative region. The equation of state (EoS) of a strongly-interacting quantum chromodynamics (QCD) medium can only be studied using the first-principle lattice QCD calculations.…

高能物理 - 唯象学 · 物理学 2023-10-03 Fu-Peng Li , Hong-Liang Lü , Long-Gang Pang , Guang-You Qin

The equation of state (EoS) of quantum chromodynamics (QCD) at zero temperature can be calculated in two different perturbative regimes: for small values of the baryon chemical potential $\mu$, one may use chiral perturbation theory…

核理论 · 物理学 2016-08-16 Tyler Gorda

To accurately determine the nuclear equation of state (EoS) at finite baryon chemical potential ($\mu_B$) remains a challenging yet essential goal in the study of QCD matter under extreme conditions. In this study, we develop a deep…

核理论 · 物理学 2025-01-20 Fu-Peng Li , Long-Gang Pang , Guang-You Qin

In this paper, we generalize the improved quasi-particle model proposed in J. Cao et al., [ Phys. Lett. B {\bf711}, 65 (2012)] from finite temperature and zero chemical potential to the case of finite chemical potential and zero…

高能物理 - 唯象学 · 物理学 2013-11-20 Liu-jun Luo , Jing Cao , Yan Yan , Wei-Min Sun , Hong-Shi Zong

Equation-of-state (EOS) models underpin numerical simulations at the core of research in high energy density physics, inertial confinement fusion, laboratory astrophysics, and elsewhere. In these applications EOS models are needed that span…

数据分析、统计与概率 · 物理学 2022-10-28 Jim A Gaffney , Lin Yang , Suzanne Ali

Whether Quantum Chromodynamics (QCD) exhibits a phase transition at finite temperature and density is an open question. It is important for hydrodynamic modeling of heavy ion collisions and neutron star mergers. Lattice QCD simulations have…

核理论 · 物理学 2022-10-19 J. I. Kapusta , T. Welle

The hard sphere system plays a basic role in condensed matter physics and related fields, and equation of state (EoS) is the ultimate solution to its thermodynamic properties (1-3). Dozens of EoSs have been proposed since van der Waals…

统计力学 · 物理学 2007-05-23 Hongqin Liu

Using an eighth-order Taylor expansion in baryon chemical potential, we recently obtained the (2+1)-flavor QCD equation of state (EoS) at non-zero conserved charge chemical potentials from the lattice. We focused on strangeness-neutral,…

高能物理 - 格点 · 物理学 2024-07-02 D. A. Clarke , J. Goswami , F. Karsch , P. Petreczky

We propose a new form for equations of state (EOS) of thermodynamic systems in the Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the…

统计力学 · 物理学 2014-02-07 Arnold Neumaier

Current knowledge of the finite-density QCD equation of state from first principles is limited to a Taylor expansion in the baryonic chemical potential around $\mu_B=0$. By means of a scaling form for the equation of state of the 3D Ising…

高能物理 - 唯象学 · 物理学 2019-02-20 Paolo Parotto

We map the mean-field Ising model equation of state onto the QCD phase diagram, and reconstruct the full coexistence region in the case of a first order phase transition. Beyond the coexistence line, we maintain access to the spinodal…

核理论 · 物理学 2024-09-24 Jamie M. Karthein , Volker Koch , Claudia Ratti
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