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Thermal-FIST 1.5
Package for hadron resonance gas model applications
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Go to the source code of this file.
Classes | |
struct | thermalfist::IdealGasFunctions::MagneticFieldConfiguration |
Magnetic field configuration. More... | |
struct | thermalfist::IdealGasFunctions::IdealGasFunctionsExtraConfig |
class | thermalfist::GeneralizedDensity |
Implements the possibility of a generalized calculation of the densities. For example, effective mass model. Abstract class. More... | |
Namespaces | |
namespace | thermalfist |
The main namespace where all classes and functions of the Thermal-FIST library reside. | |
namespace | thermalfist::IdealGasFunctions |
Contains implementation of the thermodynamic functions corresponding to an ideal gas of particles in the grand-canonical ensemble. | |
Functions | |
double | thermalfist::IdealGasFunctions::BoltzmannDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the particle number density of a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannPressure (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the pressure of a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannEnergyDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the energy density of a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannEntropyDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the entropy density of a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannScalarDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the scalar density of a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannTdndmu (int N, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the chemical potential derivative of density for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannChiN (int N, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionless susceptibility for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannChiNDimensionfull (int N, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionfull susceptibility for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmannMagnetization (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the thermal part of the magnetization of a Maxwell-Boltzmann gas, m_B = dP/dB. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionDensity (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the particle number density of a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionPressure (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the pressure of a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionEnergyDensity (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the energy density of a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionEntropyDensity (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the entropy density of a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionScalarDensity (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the scalar density of a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionTdndmu (int N, int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the chemical potential derivative of density for a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionChiN (int N, int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionless susceptibility for a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionChiNDimensionfull (int N, int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionfull susceptibility for a quantum ideal gas using cluster expansion. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansionMagnetization (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the thermal part of the magnetization of a Maxwell-Boltzmann gas, m_B = dP/dB. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationDensity (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the particle number density of a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationPressure (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the pressure of a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationEnergyDensity (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the energy density of a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationEntropyDensity (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the entropy density of a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationScalarDensity (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the scalar density of a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationMagnetization (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the magnetization of a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationT1dn1dmu1 (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationT2dn2dmu2 (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationT3dn3dmu3 (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationTdndmu (int N, int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationChiN (int N, int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionless susceptibility for a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationChiNDimensionfull (int N, int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionfull susceptibility for a quantum ideal gas using 32-point Gauss-Laguerre quadratures. | |
double | thermalfist::IdealGasFunctions::psi (double x) |
Auxiliary function. | |
double | thermalfist::IdealGasFunctions::psi2 (double x) |
Auxiliary function. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the particle number density of a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuPressure (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the pressure of a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuEnergyDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the energy density of a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuEntropyDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the entropy density of a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuScalarDensity (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the scalar density of a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuMagnetization (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuT1dn1dmu1 (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuT2dn2dmu2 (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuT3dn3dmu3 (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuTdndmu (int N, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuChiN (int N, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionless susceptibility for a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMuChiNDimensionfull (int N, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order dimensionfull susceptibility for a Fermi-Dirac ideal gas at mu > m. | |
double | thermalfist::IdealGasFunctions::FermiZeroTDensity (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the particle number density of a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::FermiZeroTPressure (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the pressure of a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::FermiZeroTEnergyDensity (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the energy density of a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::FermiZeroTEntropyDensity (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the entropy density of a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::FermiZeroTScalarDensity (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the scalar density of a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::FermiZeroTMagnetization (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiZeroTdn1dmu1 (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiZeroTdn2dmu2 (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiZeroTdn3dmu3 (double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiZeroTdndmu (int N, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
double | thermalfist::IdealGasFunctions::FermiZeroTChiN (int N, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order susceptibility for a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::FermiZeroTChiNDimensionfull (int N, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the n-th order susceptibility scaled by T^n for a Fermi-Dirac ideal gas at zero temperature. | |
double | thermalfist::IdealGasFunctions::IdealGasQuantity (Quantity quantity, QStatsCalculationType calctype, int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Calculation of a generic ideal gas function. | |
double | thermalfist::IdealGasFunctions::BoltzmanndndT (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Temperature derivatives. | |
double | thermalfist::IdealGasFunctions::Boltzmannd2ndT2 (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the 2nd derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::BoltzmanndedT (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::Boltzmanndedmu (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt mu at constant T for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::Boltzmanndchi2dT (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of the susceptibility wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansiondndT (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansiond2ndT2 (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the 2nd derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansiondedT (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansiondedmu (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt mu at constant T for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumClusterExpansiondchi2dT (int statistics, double T, double mu, double m, double deg, int order=1, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of the susceptibility wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationdndT (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationd2ndT2 (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the 2nd derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationdedT (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationdedmu (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt mu at constant T for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::QuantumNumericalIntegrationdchi2dT (int statistics, double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of the susceptibility wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMudndT (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMud2ndT2 (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the second derivative of particle number density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMudedT (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt T at constant mu for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMudedmu (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of energy density wrt mu at constant T for a Maxwell-Boltzmann gas. | |
double | thermalfist::IdealGasFunctions::FermiNumericalIntegrationLargeMudchi2dT (double T, double mu, double m, double deg, const IdealGasFunctionsExtraConfig &extraConfig=IdealGasFunctionsExtraConfig()) |
Computes the derivative of the susceptibility wrt T at constant mu for a Maxwell-Boltzmann gas. | |
Variables | |
bool | thermalfist::IdealGasFunctions::calculationHadBECIssue = false |
Whether \mu > m Bose-Einstein condensation issue was encountered for a Bose gas. | |
A collection of thermodynamic functions corresponding to an ideal Maxwell-Boltzmann, Fermi-Dirac, or Bose-Einstein gas in the grand canonical ensemble.
Definition in file IdealGasFunctions.h.