Van der Waals equation of state with Fermi statistics for nuclear matter

Vovchenko, Volodymyr; Anchishkin, D.; Gorenstein, M. I.

doi:10.1103/physrevc.91.064314

Cited by 82 publications

(63 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The presence of both, the short-range repulsive and the intermediate/long range attractive interactions between hadrons can be treated in the framework of the Quantum van der Waals (QvdW) equation [28], extended to multiple components present in a HRG [29,30]. This QvdW-HRG model is defined by the following pressure function…”

Section: Quantum Van Der Waals Modelmentioning

confidence: 99%

“…Extensions of the ideal gas picture have been discussed mostly within the excluded volume (EV) HRG model [24][25][26], where the effects of repulsive hadronic interactions at short distances are introduced (see, e.g., [27] for recent developments). Another extension is the quantum van der Waals (QvdW) model [28][29][30], which allows to include both the repulsive and attractive interactions between hadrons. Recently, repulsive interactions have received renewed interest in the context of lattice QCD data on fluctuations of conserved charges.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state

Vovchenko

Stoecker

2019

Computer Physics Communications

View full text Add to dashboard Cite

Thermal-FIST * * is a C++ package designed for convenient general-purpose physics analysis within the family of hadron resonance gas (HRG) models. This mainly includes the statistical analysis of particle production in heavyion collisions and the phenomenology of hadronic equation of state. Notable features include fluctuations and correlations of conserved charges, effects of probabilistic decay, chemical non-equilibrium, and inclusion of van der Waals hadronic interactions. Calculations are possible within the grand canonical ensemble, the canonical ensemble, as well as in mixed-canonical ensembles combining the canonical treatment of certain conserved charges with the grand-canonical treatment of other conserved charges. The package contains a fast thermal event generator, which generates particle yields in accordance with the HRG chemistry, and particle momenta based on the Blast Wave model. A distinct feature of this package is the presence of the graphical user interface frontend -QtThermalFIST -which is designed for fast and convenient general-purpose HRG model applications. Program summaryProgram Title: Thermal-FIST, version 1.2 Licensing provisions: GPLv30 Programming language: C++ Computer: any with a C++ compiler and, optionally, the Qt5 framework for the GUI frontend Operating system: cross-platform, tested on Linux Ubuntu 16.04, 18.04; Mac OS X Yosemite, Microsoft Windows 10; Android 8, 9 External routines: Eigen template library for the linear algebra routines [1], MI-NUIT2 package from CERN ROOT [2], Mersenne Twister random number generator [3], Qt5 framework [4] (for the GUI only), QCustomPlot Qt widget [5] (for the GUI only) Nature of problem:The HRG model and its various modifications constitute a common framework used for modeling of the hadronic equation of state and particle production in heavy-ion collisions. Even the simplest versions of the HRG model require careful considerations of the many details, including the resonance decay feed-down, implementation of charge conservation constraints relevant for heavy-ion collisions, chemical non-equilibrium effects. A notable extra effort is required in order to treat the fluctuations and correlations of various charges charges, which presently are being extensively studied in the heavy-ion collision experiments and lattice QCD calculations. The inclusion of hadronic interactions, modeled by an excludedvolume (EV) or a van der Waals (vdW) type framework, additionally requires a numerical solution to a system of many transcendental equations. Solution method:The Thermal-FIST package contains a class-based library which calculates relevant HRG observables for a specified setup. The setup includes a particle list, usually to be supplied with an external file, an HRG model specification (statistical ensemble, van der Waals interaction parameters, etc.), a set of thermal parameters, and conservation laws constraints. Whenever necessary, the systems of transcendental equations are solved numerically with the Broyden's method. The package includes a fitt...

show abstract

Section: Quantum Van Der Waals Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state

Vovchenko

Stoecker

2019

Computer Physics Communications

View full text Add to dashboard Cite

show abstract

“…It is a semi-quantitative theory which has many applications to model the observed experimental behaviors of critical phenomena in the liquid-gas phase transition. In particular, under some approximations, it can be used as a phenomenological tool to describe phase structure of nuclear-, or thermodynamical properties of hadronic-matter [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of van der Waals Fluids with Quantum Statistics

Redlich¹,

Zalewski²

2016

Acta Phys. Pol. B

View full text Add to dashboard Cite

We consider thermodynamics of the van der Waals fluid of quantum systems. We derive general relations of thermodynamic functions and parameters of any ideal gas and the corresponding van der Waals fluid. This provides unambiguous generalization of the classical van der Waals theory to quantum statistical systems. As an example, we apply the van der Waals fluid with fermi statistics to characterize the liquid-gas critical point in nuclear matter. We also introduce the Bose-Einstein condensation in the relativistic van der Waals boson gas, and argue, that it exhibits two-phase structure separated in space.

show abstract

“…Nuclear matter is described by the classical van der Waals equation (1). We take the vdW parameter values a = 329 MeV fm 3 and b = 3.42 fm 3 [38]. These parameter values yield the binding energy of 16 MeV in the nuclear ground state at n = n 0 = 0.16 fm −3 in the vdW model extended to include the Fermi statistics (see the next subsection III B).…”

Section: A Classical Van Der Waalsmentioning

confidence: 99%

“…The classical vdW equation overestimates the value of the critical temperature by about 10 MeV, which is due to neglecting the quantum statistics [38,39].…”

Section: A Classical Van Der Waalsmentioning

confidence: 99%

Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD

et al. 2020

View full text Add to dashboard Cite

The nuclear liquid-gas transition at normal nuclear densities, n ∼ n0 = 0.16 fm −3 , and small temperatures, T ∼ 20 MeV, has a large influence on analytic properties of the QCD grand-canonical thermodynamic potential. A classical van der Waals equation is used to determine these unexpected features due to dense cold matter qualitatively. The existence of the nuclear matter critical point results in thermodynamic branch points, which are located at complex chemical potential values, for T > Tc 20 MeV, and exhibit a moderate model dependence up to rather large temperatures T 100 MeV. The behavior at higher temperatures is studied using the van der Waals hadron resonance gas (vdW-HRG) model. The baryon-baryon interactions have a decisive influence on the QCD thermodynamics close to µB = 0. In particular, nuclear matter singularities limit the radius of convergence r µ B /T of the Taylor expansion in µB/T , with r µ B /T ∼ 2−3 values at T ∼ 140−170 MeV obtained in the vdW-HRG model.

show abstract

Van der Waals equation of state with Fermi statistics for nuclear matter

Cited by 82 publications

References 28 publications

Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state

Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state

Thermodynamics of van der Waals Fluids with Quantum Statistics

Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD

Contact Info

Product

Resources

About