Class implementing the quantum van der Waals HRG model. More...

#include <ThermalModelVDW.h>

Inheritance diagram for thermalfist::ThermalModelVDW:

Public Member Functions
	ThermalModelVDW (ThermalParticleSystem *TPS_, const ThermalModelParameters &params=ThermalModelParameters())
	Construct a new ThermalModelVDW object.

virtual	~ThermalModelVDW (void)
	Destroy the ThermalModelVDW object.

void	FillVirialEV (const std::vector< std::vector< double > > &bij=std::vector< std::vector< double > >(0))
	Same as FillVirial() but uses the matrix of excluded-volume coefficients \( v_i \equiv b_{ii} \) as input instead of radii.

void	SetVirialdT (int i, int j, double dbdT)
	Set the temperature derivative of the eigenvolume parameter \( \tilde{b}_{ij} \).

void	SetAttractiondT (int i, int j, double dadT)
	Set the temperature derivative of the QvdW attraction parameter \( a_{ij} \).

double	VirialCoefficientdT (int i, int j) const
	The temperature derivative of the eigenvolume parameter \( \tilde{b}_{ij} \).

double	AttractionCoefficientdT (int i, int j) const
	The temperature derivative of the QvdW attraction parameter \( a_{ij} \).

void	SetTemperatureDependentAB (bool Tdep)
	Sets whether temperature depedence of QvdW parameters should be considered.

bool	TemperatureDependentAB () const
	Whether temperature depedence of QvdW parameters is considered.

virtual void	SetMultipleSolutionsMode (bool search)
	Whether to search for multiple solutions of the QvdW equations by considering different initial guesses in the Broyden's method.

bool	UseMultipleSolutionsMode () const
	Whether to search for multiple solutions of the QvdW equations by considering different initial guesses in the Broyden's method.

double	MuStar (int i) const
	The shifted chemical potential of particle species i.

std::vector< double >	GetMuStar () const

void	SetMuStar (const std::vector< double > &MuStar)
	Set the vector of shifted chemical potentials.

void	FillChemicalPotentials ()
	Sets the chemical potentials of all particles.

virtual void	SetChemicalPotentials (const std::vector< double > &chem=std::vector< double >(0))
	Sets the chemical potentials of all particles.

virtual void	FillVirial (const std::vector< double > &ri=std::vector< double >(0))
	Fills the excluded volume coefficients \( \tilde{b}_{ij} \) based on the provided radii parameters for all species.

virtual void	FillAttraction (const std::vector< std::vector< double > > &aij=std::vector< std::vector< double > >(0))

virtual void	ReadInteractionParameters (const std::string &filename)
	Reads the QvdW interaction parameters from a file.

virtual void	WriteInteractionParameters (const std::string &filename)
	Write the QvdW interaction parameters to a file.

virtual void	SetVirial (int i, int j, double b)
	Set the excluded volume coefficient \( \tilde{b}_{ij} \).

virtual void	SetAttraction (int i, int j, double a)
	Set the vdW mean field attraction coefficient \( a_{ij} \).

double	VirialCoefficient (int i, int j) const
	Excluded volume coefficient \( \tilde{b}_{ij} = 0 \).

double	AttractionCoefficient (int i, int j) const
	QvdW mean field attraction coefficient \( a_{ij} \).

virtual void	ChangeTPS (ThermalParticleSystem *TPS)
	Change the particle list.

virtual void	CalculatePrimordialDensities ()
	Calculates the primordial densities of all species.

virtual std::vector< double >	CalculateChargeFluctuations (const std::vector< double > &chgs, int order=4)
	Calculates fluctuations (diagonal susceptibilities) of an arbitrary "conserved" charge.

virtual std::vector< std::vector< double > >	CalculateFluctuations (int order)

void	CalculateTwoParticleCorrelations ()
	Computes the fluctuations and correlations of the primordial particle numbers.

void	CalculateFluctuations ()
	Computes the fluctuation observables.

virtual double	CalculatePressure ()

virtual double	CalculateEnergyDensity ()

virtual double	CalculateEntropyDensity ()

virtual double	CalculateEnergyDensityDerivativeT ()

virtual void	CalculateTemperatureDerivatives ()
	Computes the temperature derivatives of densities, shifted chemical potentials, and primordial hadron number susceptibilities.

virtual double	CalculateBaryonMatterEntropyDensity ()

virtual double	CalculateMesonMatterEntropyDensity ()

virtual double	ParticleScalarDensity (int part)

bool	IsLastSolutionOK () const

double	DensityId (int index)

const std::vector< std::vector< int > > &	VDWComponentIndices () const

virtual double	DeltaMu (int i) const

const std::vector< std::vector< double > > &	VirialMatrix () const

const std::vector< std::vector< double > > &	AttractionMatrix () const

Public Member Functions inherited from thermalfist::ThermalModelBase
	ThermalModelBase (ThermalParticleSystem *TPS, const ThermalModelParameters &params=ThermalModelParameters())
	Construct a new ThermalModelBase object.

virtual	~ThermalModelBase (void)

int	ComponentsNumber () const
	Number of different particle species in the list.

bool	UseWidth () const
	Whether finite resonance widths are considered.

void	SetUseWidth (bool useWidth)
	Sets whether finite resonance widths are used. Deprecated.

void	SetUseWidth (ThermalParticle::ResonanceWidthIntegration type)
	Sets the finite resonance widths scheme to use.

void	SetNormBratio (bool normBratio)
	Whether branching ratios are renormalized to 100%.

bool	NormBratio () const

void	SetOMP (bool openMP)
	OpenMP support. Currently not used.

virtual void	SetParameters (const ThermalModelParameters &params)
	The thermal parameters.

const ThermalModelParameters &	Parameters () const

void	UpdateParameters ()
	Calls SetParameters() with current m_Parameters.

virtual void	SetTemperature (double T)
	Set the temperature.

virtual void	SetBaryonChemicalPotential (double muB)
	Set the baryon chemical potential.

virtual void	SetElectricChemicalPotential (double muQ)
	Set the electric chemical potential.

virtual void	SetStrangenessChemicalPotential (double muS)
	Set the strangeness chemical potential.

virtual void	SetCharmChemicalPotential (double muC)
	Set the charm chemical potential.

virtual void	SetGammaq (double gammaq)
	Set the light quark fugacity factor.

virtual void	SetGammaS (double gammaS)
	Set the strange quark fugacity factor.

virtual void	SetGammaC (double gammaC)
	Set the charm quark fugacity factor.

virtual void	SetBaryonCharge (int B)
	Set the total baryon number (for canonical ensemble only)

virtual void	SetElectricCharge (int Q)
	Set the total electric charge (for canonical ensemble only)

virtual void	SetStrangeness (int S)
	Set the total strangeness (for canonical ensemble only)

virtual void	SetCharm (int C)
	Set the total charm (for canonical ensemble only)

virtual void	SetRadius (double)
	Set the same excluded volume radius parameter for all species.

virtual void	SetRadius (int, double)
	Set the radius parameter for particle species i.

virtual void	SetRepulsion (int i, int j, double b)
	Same as SetVirial() but with a more clear name on what is actually does.

virtual void	DisableMesonMesonVirial ()

void	DisableMesonMesonRepulsion ()

virtual void	DisableMesonMesonAttraction ()

virtual void	DisableMesonBaryonVirial ()

void	DisableMesonBaryonRepulsion ()

virtual void	DisableMesonBaryonAttraction ()

virtual void	DisableBaryonBaryonVirial ()

void	DisableBaryonBaryonRepulsion ()

virtual void	DisableBaryonBaryonAttraction ()

virtual void	DisableBaryonAntiBaryonVirial ()

void	DisableBaryonAntiBaryonRepulsion ()

virtual void	DisableBaryonAntiBaryonAttraction ()

double	RepulsionCoefficient (int i, int j) const

bool	QuantumStatistics () const

virtual void	SetStatistics (bool stats)

virtual void	SetCalculationType (IdealGasFunctions::QStatsCalculationType type)
	Sets the CalculationType() method to evaluate quantum statistics. Calls the corresponding method in TPS().

virtual void	SetClusterExpansionOrder (int order)
	Set the number of terms in the cluster expansion method. Calls the corresponding method in TPS().

void	SetResonanceWidthShape (ThermalParticle::ResonanceWidthShape shape)
	Set the ThermalParticle::ResonanceWidthShape for all particles. Calls the corresponding method in TPS().

void	SetResonanceWidthIntegrationType (ThermalParticle::ResonanceWidthIntegration type)
	Set the ThermalParticle::ResonanceWidthIntegration scheme for all particles. Calls the corresponding method in TPS().

const std::vector< double > &	ChemicalPotentials () const
	A vector of chemical potentials of all particles.

double	ChemicalPotential (int i) const
	Chemical potential of particle species i.

virtual void	SetChemicalPotential (int i, double chem)
	Sets the chemical potential of particle species i.

virtual double	FullIdealChemicalPotential (int i) const
	Chemical potential entering the ideal gas expressions of particle species i.

bool	ConstrainMuB () const

void	ConstrainMuB (bool constrain)

bool	ConstrainMuQ () const

void	ConstrainMuQ (bool constrain)

bool	ConstrainMuS () const

void	ConstrainMuS (bool constrain)

bool	ConstrainMuC () const

void	ConstrainMuC (bool constrain)

void	UsePartialChemicalEquilibrium (bool usePCE)
	Sets whether partial chemical equilibrium with additional chemical potentials is used.

bool	UsePartialChemicalEquilibrium ()
	Whether partial chemical equilibrium with additional chemical potentials is used.

void	SetSoverB (double SB)
	The entropy per baryon ratio to be used to constrain the baryon chemical potential.

double	SoverB () const

void	SetQoverB (double QB)
	The electric-to-baryon charge ratio to be used to constrain the electric chemical potential.

double	QoverB () const

void	SetVolume (double Volume)
	Sets the system volume.

double	Volume () const
	System volume (fm \(^3\))

void	SetVolumeRadius (double R)
	Sets the system radius.

double	CanonicalVolume () const
	The canonical correlation volume V \(_c\) (fm \(^3\))

void	SetCanonicalVolume (double Volume)
	Set the canonical correlation volume V \(_c\).

void	SetCanonicalVolumeRadius (double Rc)
	Set the canonical correlation system radius.

void	ConstrainChemicalPotentials (bool resetInitialValues=true)
	Constrains the chemical potentials \( \mu_B,\,\mu_Q,\,\mu_S,\,\mu_C \) by the conservation laws imposed.

virtual void	FixParameters ()
	Method which actually implements ConstrainChemicalPotentials() (for backward compatibility).

virtual void	FixParametersNoReset ()
	Method which actually implements ConstrainChemicalPotentialsNoReset() (for backward compatibility).

virtual bool	SolveChemicalPotentials (double totB=0., double totQ=0., double totS=0., double totC=0., double muBinit=0., double muQinit=0., double muSinit=0., double muCinit=0., bool ConstrMuB=true, bool ConstrMuQ=true, bool ConstrMuS=true, bool ConstrMuC=true)
	The procedure which calculates the chemical potentials \( \mu_B,\,\mu_Q,\,\mu_S,\,\mu_C \) which reproduce the specified total baryon, electric, strangeness, and charm charges of the system.

virtual bool	FixChemicalPotentialsThroughDensities (double rhoB=0., double rhoQ=0., double rhoS=0., double rhoC=0., double muBinit=0., double muQinit=0., double muSinit=0., double muCinit=0., bool ConstrMuB=true, bool ConstrMuQ=true, bool ConstrMuS=true, bool ConstrMuC=true)
	The procedure which calculates the chemical potentials \( \mu_B,\,\mu_Q,\,\mu_S,\,\mu_C \) which reproduce the specified baryon, electric, strangeness, and charm densities.

virtual void	CalculateDensities ()
	Calculates the primordial and total (after decays) densities of all species.

virtual void	ValidateCalculation ()
	Checks whether issues have occured during the calculation of particle densities in the CalculateDensities() method.

std::string	ValidityCheckLog () const
	All messaged which occured during the validation procedure in the ValidateCalculation() method.

virtual void	CalculateDensitiesGCE ()
	Calculates the particle densities in a grand-canonical ensemble.

virtual void	CalculateFeeddown ()
	Calculates the total densities which include feeddown contributions.

virtual void	CalculateTwoParticleFluctuationsDecays ()
	Computes particle number correlations and fluctuations for all final-state particles which are marked stable.

virtual double	TwoParticleSusceptibilityPrimordial (int i, int j) const
	Returns the computed primordial particle number (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) for particles with ids i and j. CalculateFluctuations() must be called beforehand.

virtual double	TwoParticleSusceptibilityPrimordialByPdg (long long id1, long long id2)
	Returns the computed primordial particle number (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) for particles with pdg codes id1 and id2. CalculateFluctuations() must be called beforehand.

virtual double	TwoParticleSusceptibilityTemperatureDerivativePrimordial (int i, int j) const
	Returns the computed temperature derivative of the primordial particle number (cross-)susceptibility \( \frac{\partial}{\partial T} \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) for particles with ids i and j. CalculateFluctuations() must be called beforehand.

virtual double	TwoParticleSusceptibilityTemperatureDerivativePrimordialByPdg (long long id1, long long id2)
	Returns the computed temperature derivative of the primordial particle number (cross-)susceptibility \( \frac{\partial}{\partial T} \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) for particles with pdg codes id1 and id2. CalculateFluctuations() must be called beforehand.

virtual double	NetParticleSusceptibilityPrimordialByPdg (long long id1, long long id2)
	Returns the computed (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) between primordial net-particle numbers for pdg codes id1 and id2. CalculateFluctuations() must be called beforehand.

virtual double	TwoParticleSusceptibilityFinal (int i, int j) const
	Returns the computed final particle number (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) for particles with ids i and j. CalculateFluctuations() must be called beforehand. Both particle species must be those marked stable.

virtual double	TwoParticleSusceptibilityFinalByPdg (long long id1, long long id2)
	Returns the computed final particle number (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) for particles with pdg codes id1 and id2. CalculateFluctuations() must be called beforehand. Both particle species must be those marked stable.

virtual double	NetParticleSusceptibilityFinalByPdg (long long id1, long long id2)
	Returns the computed (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_j \rangle \) between final net-particle numbers for pdg codes id1 and id2. CalculateFluctuations() must be called beforehand.

virtual double	PrimordialParticleChargeSusceptibility (int i, ConservedCharge::Name chg) const
	Returns the computed primordial particle vs conserved charge (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_chg \rangle \) for particle with id i and conserved charge chg. CalculateFluctuations() must be called beforehand.

virtual double	PrimordialParticleChargeSusceptibilityByPdg (long long id1, ConservedCharge::Name chg)
	Returns the computed primordial particle vs conserved charge (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_chg \rangle \) for particle with pdg code id1 and conserved charge chg. CalculateFluctuations() must be called beforehand.

virtual double	PrimordialNetParticleChargeSusceptibilityByPdg (long long id1, ConservedCharge::Name chg)
	Returns the computed primordial net particle vs conserved charge (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_chg \rangle \) for particle with pdg code id1 and conserved charge chg. CalculateFluctuations() must be called beforehand.

virtual double	FinalParticleChargeSusceptibility (int i, ConservedCharge::Name chg) const
	Returns the computed final (after decays) particle vs conserved charge (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_chg \rangle \) for particle with id i and conserved charge chg. CalculateFluctuations() must be called beforehand.

virtual double	FinalParticleChargeSusceptibilityByPdg (long long id1, ConservedCharge::Name chg)
	Returns the computed final (after decays) particle vs conserved charge (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_chg \rangle \) for particle with pdg code id1 and conserved charge chg. CalculateFluctuations() must be called beforehand.

virtual double	FinalNetParticleChargeSusceptibilityByPdg (long long id1, ConservedCharge::Name chg)
	Returns the computed final (after decays) net particle vs conserved charge (cross-)susceptibility \( \frac{1}{VT^3} \, \langle \Delta N_i \Delta N_chg \rangle \) for particle with pdg code id1 and conserved charge chg. CalculateFluctuations() must be called beforehand.

virtual double	SusceptibilityDimensionfull (ConservedCharge::Name i, ConservedCharge::Name j) const
	A 2nd order susceptibility of conserved charges.

virtual void	CalculateSusceptibilityMatrix ()
	Calculates the conserved charges susceptibility matrix.

virtual void	CalculateProxySusceptibilityMatrix ()
	Calculates the susceptibility matrix of conserved charges proxies.

virtual void	CalculateParticleChargeCorrelationMatrix ()
	Calculates the matrix of correlators between primordial (and also final) particle numbers and conserved charges.

Protected Member Functions
std::vector< double >	ComputeNp (const std::vector< double > &dmustar)

std::vector< double >	ComputeNp (const std::vector< double > &dmustar, const std::vector< double > &ns)

void	CalculateVDWComponentsMap ()
	Partitions particles species into sets that have identical VDW parameters.

virtual std::vector< double >	SearchSingleSolution (const std::vector< double > &muStarInit)
	Uses the Broyden method with a provided initial guess to determine the shifted chemical potentials by solving the transcendental equations with the Broyden's method.

std::vector< double >	SearchMultipleSolutions (int iters=300)
	Uses the Broyden method with different initial guesses to look for different possible solutions of the transcendental equations for shifted chemical potentials.

void	SolveEquations ()

virtual double	MuShift (int id) const
	The shift in the chemical potential of particle species i due to the QvdW interactions.

Protected Attributes
std::vector< double >	m_DensitiesId
	Vector of ideal gas densities with shifted chemical potentials.

std::vector< double >	m_scaldens
	Vector of scalar densities. Not used.

std::vector< std::vector< double > >	m_Virial

std::vector< std::vector< double > >	m_Attr
	Matrix of the attractive QvdW coefficients \( a_{ij} \).

std::vector< std::vector< double > >	m_VirialdT

std::vector< std::vector< double > >	m_AttrdT

bool	m_TemperatureDependentAB

bool	m_SearchMultipleSolutions
	Whether multiple solutions are considered.

bool	m_LastBroydenSuccessFlag
	Whether Broyden's method was successfull.

bool	m_VDWComponentMapCalculated
	Whether the mapping to components with the same VDW parameters has been calculated.

std::vector< double >	m_MuStar
	Vector of the shifted chemical potentials.

std::vector< int >	m_MapTodMuStar

std::vector< int >	m_MapFromdMuStar

std::vector< std::vector< int > >	m_dMuStarIndices

std::vector< std::vector< double > >	m_chi

std::vector< double >	m_chiarb

Additional Inherited Members
Public Types inherited from thermalfist::ThermalModelBase
enum	ThermalModelEnsemble { GCE = 0 , CE = 1 , SCE = 2 , CCE = 3 }
	The list of statistical ensembles. More...

enum	ThermalModelInteraction { Ideal = 0 , DiagonalEV = 1 , CrosstermsEV = 2 , QvdW = 3 , RealGas = 4 , MeanField = 5 }
	Type of interactions included in the HRG model. More...

Detailed Description

Class implementing the quantum van der Waals HRG model.

The model formulation can be found in

V. Vovchenko, M.I. Gorenstein, H. Stoecker, Phys. Rev. Lett. 118, 182301 (2017), http://arxiv.org/pdf/1609.03975.pdf

and in, in more detail, in

V. Vovchenko, A. Motornenko, P. Alba, M.I. Gorenstein, L.M. Satarov, H. Stoecker, Phys. Rev. C 96, 045202 (2017), http://arxiv.org/pdf/1707.09215.pdf

The system of transcendental equations for the "shifted" chemical potentials of hadrons, Eq. (15) in the latter reference, is solved using the Broyden's method.

Examples: SusceptibilitiesBQS.cpp, and ThermodynamicsBQS.cpp.

Definition at line 36 of file ThermalModelVDW.h.

Constructor & Destructor Documentation

◆ ThermalModelVDW()

thermalfist::ThermalModelVDW::ThermalModelVDW	(	ThermalParticleSystem *	TPS_,
		const ThermalModelParameters &	params = ThermalModelParameters() )

Construct a new ThermalModelVDW object.

Parameters

TPS	A pointer to the ThermalParticleSystem object containing the particle list
params	ThermalModelParameters object with current thermal parameters

Definition at line 34 of file ThermalModelVDW.cpp.

◆ ~ThermalModelVDW()

thermalfist::ThermalModelVDW::~ThermalModelVDW ( void )

virtual

Destroy the ThermalModelVDW object.

Definition at line 54 of file ThermalModelVDW.cpp.

Member Function Documentation

◆ AttractionCoefficient()

double thermalfist::ThermalModelVDW::AttractionCoefficient	(	int	,
		int	) const

virtual

QvdW mean field attraction coefficient \( a_{ij} \).

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species

Returns: double Coefficient \( a_{ij} = 0 \)

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 1155 of file ThermalModelVDW.cpp.

◆ AttractionCoefficientdT()

double thermalfist::ThermalModelVDW::AttractionCoefficientdT	(	int	i,
		int	j ) const

The temperature derivative of the QvdW attraction parameter \( a_{ij} \).

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species

Returns: \( d a_{ij} / dT \) in the units of fm \(^3\)

Definition at line 1169 of file ThermalModelVDW.cpp.

◆ AttractionMatrix()

const std::vector< std::vector< double > > & thermalfist::ThermalModelVDW::AttractionMatrix ( ) const

inline

Definition at line 210 of file ThermalModelVDW.h.

◆ CalculateBaryonMatterEntropyDensity()

virtual double thermalfist::ThermalModelVDW::CalculateBaryonMatterEntropyDensity ( )

inlinevirtual

Definition at line 195 of file ThermalModelVDW.h.

◆ CalculateChargeFluctuations()

vector< double > thermalfist::ThermalModelVDW::CalculateChargeFluctuations	(	const std::vector< double > &	chgs,
		int	order = 4 )

virtual

Calculates fluctuations (diagonal susceptibilities) of an arbitrary "conserved" charge.

Each particle specie is assumed to carry a conserved charge with a value provided by an input vector.

Restricted to the grand canonical ensemble.

Parameters

chgs	A vector with conserved charge values for all species. 0-based indices of the vector must correspond to the 0-based indices of the particle list TPS()
order	Up to which order the susceptibilities are computed

Returns: std::vector<double> A vector with computed values of diagonal susceptibilities

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 562 of file ThermalModelVDW.cpp.

◆ CalculateEnergyDensity()

double thermalfist::ThermalModelVDW::CalculateEnergyDensity ( )

virtual

Definition at line 1079 of file ThermalModelVDW.cpp.

◆ CalculateEnergyDensityDerivativeT()

double thermalfist::ThermalModelVDW::CalculateEnergyDensityDerivativeT ( )

virtual

Definition at line 882 of file ThermalModelVDW.cpp.

◆ CalculateEntropyDensity()

double thermalfist::ThermalModelVDW::CalculateEntropyDensity ( )

virtual

Definition at line 1102 of file ThermalModelVDW.cpp.

◆ CalculateFluctuations() [1/2]

void thermalfist::ThermalModelVDW::CalculateFluctuations ( )

virtual

Computes the fluctuation observables.

Includes the matrix of 2nd order susceptibilities of conserved charges, as well as particle number correlations and fluctuations, both for primordial yields and after decays.

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 859 of file ThermalModelVDW.cpp.

◆ CalculateFluctuations() [2/2]

vector< vector< double > > thermalfist::ThermalModelVDW::CalculateFluctuations ( int order )

virtual

Definition at line 747 of file ThermalModelVDW.cpp.

◆ CalculateMesonMatterEntropyDensity()

virtual double thermalfist::ThermalModelVDW::CalculateMesonMatterEntropyDensity ( )

inlinevirtual

Definition at line 197 of file ThermalModelVDW.h.

◆ CalculatePressure()

double thermalfist::ThermalModelVDW::CalculatePressure ( )

virtual

Definition at line 1122 of file ThermalModelVDW.cpp.

◆ CalculatePrimordialDensities()

void thermalfist::ThermalModelVDW::CalculatePrimordialDensities ( )

virtual

Calculates the primordial densities of all species.

Implements thermalfist::ThermalModelBase.

Definition at line 401 of file ThermalModelVDW.cpp.

◆ CalculateTemperatureDerivatives()

void thermalfist::ThermalModelVDW::CalculateTemperatureDerivatives ( )

virtual

Computes the temperature derivatives of densities, shifted chemical potentials, and primordial hadron number susceptibilities.

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 913 of file ThermalModelVDW.cpp.

◆ CalculateTwoParticleCorrelations()

void thermalfist::ThermalModelVDW::CalculateTwoParticleCorrelations ( )

virtual

Computes the fluctuations and correlations of the primordial particle numbers.

More specifically, computes the susceptibility matrix \( \frac{1}{VT^3} \, \langle \Delta N_i^* \Delta N_j^* \rangle \), where \( N_i^* \) is the primordial yield of species i.

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 780 of file ThermalModelVDW.cpp.

◆ CalculateVDWComponentsMap()

void thermalfist::ThermalModelVDW::CalculateVDWComponentsMap ( )

protected

Partitions particles species into sets that have identical VDW parameters.

Definition at line 253 of file ThermalModelVDW.cpp.

◆ ChangeTPS()

void thermalfist::ThermalModelVDW::ChangeTPS ( ThermalParticleSystem * TPS )

virtual

Change the particle list.

Parameters

TPS	A pointer to new particle list.

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 187 of file ThermalModelVDW.cpp.

◆ ComputeNp() [1/2]

std::vector< double > thermalfist::ThermalModelVDW::ComputeNp ( const std::vector< double > & dmustar )

protected

Returns vector of particle densities for given values of shifted chemical potentials

Parameters

dmustar A vector of shifted chemical potentials

Returns: std::vector<double> Vector of particle densities

Definition at line 196 of file ThermalModelVDW.cpp.

◆ ComputeNp() [2/2]

std::vector< double > thermalfist::ThermalModelVDW::ComputeNp	(	const std::vector< double > &	dmustar,
		const std::vector< double > &	ns )

protected

Same as ComputeNp(const std::vector<double>&) but using the vector of ideal gas densities as input instead of calculating it

Definition at line 205 of file ThermalModelVDW.cpp.

◆ DeltaMu()

virtual double thermalfist::ThermalModelVDW::DeltaMu ( int i ) const

inlinevirtual

Definition at line 208 of file ThermalModelVDW.h.

◆ DensityId()

double thermalfist::ThermalModelVDW::DensityId ( int index )

inline

Definition at line 203 of file ThermalModelVDW.h.

◆ FillAttraction()

void thermalfist::ThermalModelVDW::FillAttraction ( const std::vector< std::vector< double > > & aij = std::vector< std::vector<double> >(0) )

virtual

Definition at line 108 of file ThermalModelVDW.cpp.

◆ FillChemicalPotentials()

void thermalfist::ThermalModelVDW::FillChemicalPotentials ( )

virtual

Sets the chemical potentials of all particles.

Uses the current values of \( \mu_B,\,\mu_Q,\,\mu_S,\,\mu_Q \) to set \( \mu_i \).

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 58 of file ThermalModelVDW.cpp.

◆ FillVirial()

void thermalfist::ThermalModelVDW::FillVirial ( const std::vector< double > & ri = std::vector<double>(0) )

virtual

Fills the excluded volume coefficients \( \tilde{b}_{ij} \) based on the provided radii parameters for all species.

Fills the coefficients in accordance with Eqs. (5) and (7) here https://arxiv.org/pdf/1606.06218.pdf

Parameters

ri	A vector with radii parameters for all species. 0-based indices of the vector must corresponds to the 0-based indices of the particle list TPS()

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 71 of file ThermalModelVDW.cpp.

◆ FillVirialEV()

void thermalfist::ThermalModelVDW::FillVirialEV ( const std::vector< std::vector< double > > & bij = std::vector< std::vector<double> >(0) )

Same as FillVirial() but uses the matrix of excluded-volume coefficients \( v_i \equiv b_{ii} \) as input instead of radii.

Parameters

bij	A vector with crossterms excluded-volume coefficients for all pairs of particle species

Definition at line 97 of file ThermalModelVDW.cpp.

◆ GetMuStar()

std::vector< double > thermalfist::ThermalModelVDW::GetMuStar ( ) const

inline

Returns vector of shifted chemical potentials, one element per each species

Definition at line 145 of file ThermalModelVDW.h.

◆ IsLastSolutionOK()

bool thermalfist::ThermalModelVDW::IsLastSolutionOK ( ) const

inline

Definition at line 201 of file ThermalModelVDW.h.

◆ MuShift()

double thermalfist::ThermalModelVDW::MuShift ( int id ) const

protectedvirtual

The shift in the chemical potential of particle species i due to the QvdW interactions.

Parameters

i	0-based particle specie index

Returns: The shift in the chemical potential

Definition at line 1140 of file ThermalModelVDW.cpp.

◆ MuStar()

double thermalfist::ThermalModelVDW::MuStar ( int i ) const

inline

The shifted chemical potential of particle species i.

Definition at line 141 of file ThermalModelVDW.h.

◆ ParticleScalarDensity()

double thermalfist::ThermalModelVDW::ParticleScalarDensity ( int part )

virtual

Definition at line 1134 of file ThermalModelVDW.cpp.

◆ ReadInteractionParameters()

void thermalfist::ThermalModelVDW::ReadInteractionParameters ( const std::string & )

virtual

Reads the QvdW interaction parameters from a file.

Actual implementation is in a derived class.

Parameters

filename File with interaction parameters.

Reimplemented from thermalfist::ThermalModelBase.

Reimplemented in thermalfist::ThermalModelEVCrossterms.

Definition at line 119 of file ThermalModelVDW.cpp.

◆ SearchMultipleSolutions()

vector< double > thermalfist::ThermalModelVDW::SearchMultipleSolutions ( int iters = 300 )

protected

Uses the Broyden method with different initial guesses to look for different possible solutions of the transcendental equations for shifted chemical potentials.

Looks for the solution with the largest pressure.

Parameters

iters Number of different initial guesses to try

Returns: std::vector<double> The solution with the largest pressure among those which were found

Definition at line 319 of file ThermalModelVDW.cpp.

◆ SearchSingleSolution()

vector< double > thermalfist::ThermalModelVDW::SearchSingleSolution ( const std::vector< double > & muStarInit )

protectedvirtual

Uses the Broyden method with a provided initial guess to determine the shifted chemical potentials by solving the transcendental equations with the Broyden's method.

Parameters

muStarInit Initial guess for the shifted chemical potentials

Returns: std::vector<double> The solved shifted chemical potentials

Definition at line 290 of file ThermalModelVDW.cpp.

◆ SetAttraction()

virtual void thermalfist::ThermalModelVDW::SetAttraction	(	int	,
		int	,
		double	)

inlinevirtual

Set the vdW mean field attraction coefficient \( a_{ij} \).

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species
a	vdW mean field attraction parameter \( a_{ij} \) (GeV fm \(^3\))

Reimplemented from thermalfist::ThermalModelBase.

Reimplemented in thermalfist::ThermalModelEVCrossterms.

Definition at line 166 of file ThermalModelVDW.h.

◆ SetAttractiondT()

void thermalfist::ThermalModelVDW::SetAttractiondT	(	int	i,
		int	j,
		double	dadT )

inline

Set the temperature derivative of the QvdW attraction parameter \( a_{ij} \).

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species
dadT	\( d a_{ij} / dT \) in the units of fm \(^3\)

Definition at line 79 of file ThermalModelVDW.h.

◆ SetChemicalPotentials()

void thermalfist::ThermalModelVDW::SetChemicalPotentials ( const std::vector< double > & chem = std::vector<double>(0) )

virtual

Sets the chemical potentials of all particles.

Parameters

chem	A vector with chemical potentials of all species. 0-based indices of the vector must corresponds to the 0-based indices of the particle list TPS()

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 64 of file ThermalModelVDW.cpp.

◆ SetMultipleSolutionsMode()

virtual void thermalfist::ThermalModelVDW::SetMultipleSolutionsMode ( bool search )

inlinevirtual

Whether to search for multiple solutions of the QvdW equations by considering different initial guesses in the Broyden's method.

Multiple solutions in the QvdW model appear e.g. below the critical temperature of the liquid-gas phase transition.

Parameters

search Whether multiple solutions of the QvdW equations should be considered. False by default.

Reimplemented in thermalfist::ThermalModelEVCrossterms.

Definition at line 129 of file ThermalModelVDW.h.

◆ SetMuStar()

void thermalfist::ThermalModelVDW::SetMuStar ( const std::vector< double > & MuStar )

inline

Set the vector of shifted chemical potentials.

Definition at line 148 of file ThermalModelVDW.h.

◆ SetTemperatureDependentAB()

void thermalfist::ThermalModelVDW::SetTemperatureDependentAB ( bool Tdep )

inline

Sets whether temperature depedence of QvdW parameters should be considered.

Parameters

Tdep	true – considered, false – not considered

Definition at line 107 of file ThermalModelVDW.h.

◆ SetVirial()

virtual void thermalfist::ThermalModelVDW::SetVirial	(	int	,
		int	,
		double	)

inlinevirtual

Set the excluded volume coefficient \( \tilde{b}_{ij} \).

Excluded parameter for repulsive interaction between particle species i and j.

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species
b	Excluded volume parameter \( \tilde{b}_{ij} \) (fm \(^3\))

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 164 of file ThermalModelVDW.h.

◆ SetVirialdT()

void thermalfist::ThermalModelVDW::SetVirialdT	(	int	i,
		int	j,
		double	dbdT )

inline

Set the temperature derivative of the eigenvolume parameter \( \tilde{b}_{ij} \).

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species
dbdT	\( d \tilde{b}_{ij} / dT \) in the units of fm \(^3\) GeV \(^{-1}\)

Definition at line 69 of file ThermalModelVDW.h.

◆ SolveEquations()

void thermalfist::ThermalModelVDW::SolveEquations ( )

protected

Solve the transcedental equations for the shifted chemical potentials

Definition at line 385 of file ThermalModelVDW.cpp.

◆ TemperatureDependentAB()

bool thermalfist::ThermalModelVDW::TemperatureDependentAB ( ) const

inline

Whether temperature depedence of QvdW parameters is considered.

Returns: true considered; false not considered

Definition at line 116 of file ThermalModelVDW.h.

◆ UseMultipleSolutionsMode()

bool thermalfist::ThermalModelVDW::UseMultipleSolutionsMode ( ) const

inline

Whether to search for multiple solutions of the QvdW equations by considering different initial guesses in the Broyden's method.

Returns: true Multiple solutions considered; false Multiple solutions not considered

Definition at line 138 of file ThermalModelVDW.h.

◆ VDWComponentIndices()

const std::vector< std::vector< int > > & thermalfist::ThermalModelVDW::VDWComponentIndices ( ) const

inline

Definition at line 207 of file ThermalModelVDW.h.

◆ VirialCoefficient()

double thermalfist::ThermalModelVDW::VirialCoefficient	(	int	,
		int	) const

virtual

Excluded volume coefficient \( \tilde{b}_{ij} = 0 \).

Excluded parameter for repulsive interaction between particle species i and j.

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species

Returns: double Coefficient \( \tilde{b}_{ij} = 0 \)

Reimplemented from thermalfist::ThermalModelBase.

Definition at line 1148 of file ThermalModelVDW.cpp.

◆ VirialCoefficientdT()

double thermalfist::ThermalModelVDW::VirialCoefficientdT	(	int	i,
		int	j ) const

The temperature derivative of the eigenvolume parameter \( \tilde{b}_{ij} \).

Parameters

i	0-based index of the first particle species
j	0-based index of the second particle species

Returns: dbdT \( d \tilde{b}_{ij} / dT \) in the units of fm \(^3\) GeV \(^{-1}\)

Definition at line 1162 of file ThermalModelVDW.cpp.

◆ VirialMatrix()

const std::vector< std::vector< double > > & thermalfist::ThermalModelVDW::VirialMatrix ( ) const

inline

Definition at line 209 of file ThermalModelVDW.h.

◆ WriteInteractionParameters()

void thermalfist::ThermalModelVDW::WriteInteractionParameters ( const std::string & )

virtual

Write the QvdW interaction parameters to a file.

Actual implementation is in a derived class.

Parameters

filename Output file.

Reimplemented from thermalfist::ThermalModelBase.

Reimplemented in thermalfist::ThermalModelEVCrossterms.

Definition at line 151 of file ThermalModelVDW.cpp.

Member Data Documentation

◆ m_Attr

std::vector< std::vector<double> > thermalfist::ThermalModelVDW::m_Attr

protected

Matrix of the attractive QvdW coefficients \( a_{ij} \).

Definition at line 275 of file ThermalModelVDW.h.

◆ m_AttrdT

std::vector< std::vector<double> > thermalfist::ThermalModelVDW::m_AttrdT

protected

Matrix of the temperature derivatives of the attractive QvdW coefficients \( d a_{ij} / dT \)

Definition at line 283 of file ThermalModelVDW.h.

◆ m_chi

std::vector< std::vector<double> > thermalfist::ThermalModelVDW::m_chi

protected

Definition at line 307 of file ThermalModelVDW.h.

◆ m_chiarb

std::vector<double> thermalfist::ThermalModelVDW::m_chiarb

protected

Definition at line 309 of file ThermalModelVDW.h.

◆ m_DensitiesId

std::vector<double> thermalfist::ThermalModelVDW::m_DensitiesId

protected

Vector of ideal gas densities with shifted chemical potentials.

Definition at line 266 of file ThermalModelVDW.h.

◆ m_dMuStarIndices

std::vector< std::vector<int> > thermalfist::ThermalModelVDW::m_dMuStarIndices

protected

Definition at line 305 of file ThermalModelVDW.h.

◆ m_LastBroydenSuccessFlag

bool thermalfist::ThermalModelVDW::m_LastBroydenSuccessFlag

protected

Whether Broyden's method was successfull.

Definition at line 293 of file ThermalModelVDW.h.

◆ m_MapFromdMuStar

std::vector<int> thermalfist::ThermalModelVDW::m_MapFromdMuStar

protected

Definition at line 303 of file ThermalModelVDW.h.

◆ m_MapTodMuStar

std::vector<int> thermalfist::ThermalModelVDW::m_MapTodMuStar

protected

Definition at line 301 of file ThermalModelVDW.h.

◆ m_MuStar

std::vector<double> thermalfist::ThermalModelVDW::m_MuStar

protected

Vector of the shifted chemical potentials.

Definition at line 299 of file ThermalModelVDW.h.

◆ m_scaldens

std::vector<double> thermalfist::ThermalModelVDW::m_scaldens

protected

Vector of scalar densities. Not used.

Definition at line 269 of file ThermalModelVDW.h.

◆ m_SearchMultipleSolutions

bool thermalfist::ThermalModelVDW::m_SearchMultipleSolutions

protected

Whether multiple solutions are considered.

Definition at line 290 of file ThermalModelVDW.h.

◆ m_TemperatureDependentAB

bool thermalfist::ThermalModelVDW::m_TemperatureDependentAB

protected

Whether temperature depedence of QvdW parameters is considered.

Definition at line 287 of file ThermalModelVDW.h.

◆ m_VDWComponentMapCalculated

bool thermalfist::ThermalModelVDW::m_VDWComponentMapCalculated

protected

Whether the mapping to components with the same VDW parameters has been calculated.

Definition at line 296 of file ThermalModelVDW.h.

◆ m_Virial

std::vector< std::vector<double> > thermalfist::ThermalModelVDW::m_Virial

protected

Definition at line 272 of file ThermalModelVDW.h.

◆ m_VirialdT

std::vector< std::vector<double> > thermalfist::ThermalModelVDW::m_VirialdT

protected

Matrix of the temperature derivatives of the virial (excluded-volume) coefficients \( d \tilde{b}_{ij} / dT \)

Definition at line 279 of file ThermalModelVDW.h.

The documentation for this class was generated from the following files:

include/HRGVDW/ThermalModelVDW.h
src/library/HRGVDW/ThermalModelVDW.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ThermalModelVDW()

◆ ~ThermalModelVDW()

Member Function Documentation

◆ AttractionCoefficient()

◆ AttractionCoefficientdT()

◆ AttractionMatrix()

◆ CalculateBaryonMatterEntropyDensity()

◆ CalculateChargeFluctuations()

◆ CalculateEnergyDensity()

◆ CalculateEnergyDensityDerivativeT()

◆ CalculateEntropyDensity()

◆ CalculateFluctuations() [1/2]

◆ CalculateFluctuations() [2/2]

◆ CalculateMesonMatterEntropyDensity()

◆ CalculatePressure()

◆ CalculatePrimordialDensities()

◆ CalculateTemperatureDerivatives()

◆ CalculateTwoParticleCorrelations()

◆ CalculateVDWComponentsMap()

◆ ChangeTPS()

◆ ComputeNp() [1/2]

◆ ComputeNp() [2/2]

◆ DeltaMu()

◆ DensityId()

◆ FillAttraction()

◆ FillChemicalPotentials()

◆ FillVirial()

◆ FillVirialEV()

◆ GetMuStar()

◆ IsLastSolutionOK()

◆ MuShift()

◆ MuStar()

◆ ParticleScalarDensity()

◆ ReadInteractionParameters()

◆ SearchMultipleSolutions()

◆ SearchSingleSolution()

◆ SetAttraction()

◆ SetAttractiondT()

◆ SetChemicalPotentials()

◆ SetMultipleSolutionsMode()

◆ SetMuStar()

◆ SetTemperatureDependentAB()

◆ SetVirial()

◆ SetVirialdT()

◆ SolveEquations()

◆ TemperatureDependentAB()

◆ UseMultipleSolutionsMode()

◆ VDWComponentIndices()

◆ VirialCoefficient()

◆ VirialCoefficientdT()

◆ VirialMatrix()

◆ WriteInteractionParameters()

Member Data Documentation

◆ m_Attr

◆ m_AttrdT

◆ m_chi

◆ m_chiarb

◆ m_DensitiesId

◆ m_dMuStarIndices

◆ m_LastBroydenSuccessFlag

◆ m_MapFromdMuStar

◆ m_MapTodMuStar

◆ m_MuStar

◆ m_scaldens

◆ m_SearchMultipleSolutions

◆ m_TemperatureDependentAB

◆ m_VDWComponentMapCalculated

◆ m_Virial

◆ m_VirialdT