Detailed Description

Definition at line 967 of file eos_had_base.h.

Public Member Functions
Basic usage
virtual int	calc_e (fermion &n, fermion &p, thermo &th)=0
	Equation of state as a function of density.

virtual int	calc_temp_e (fermion &n, fermion &p, double T, thermo &th)=0
	Equation of state as a function of densities at finite temperature.

virtual int	calc_p (fermion &n, fermion &p, thermo &th)=0
	Equation of state as a function of the chemical potentials.

virtual int	calc_temp_p (fermion &n, fermion &p, double T, thermo &th)=0
	Equation of state as a function of the chemical potentials at finite temperature.

Liquid-gas transition functions
virtual int	calc_liqgas_dens_temp_e (fermion &n1, fermion &p1, fermion &n2, fermion &p2, double T, thermo &th1, thermo &th2)
	Compute liquid-gas phase transition densities using eos_had_temp_base::calc_temp_e() . More...

virtual int	calc_liqgas_temp_e (fermion &n1, fermion &p1, fermion &n2, fermion &p2, double nB, double Ye, double T, thermo &th1, thermo &th2, double &chi)
	Compute the liquid-gas phase transition using eos_had_temp_base::calc_temp_e() . More...

virtual int	calc_liqgas_beta_temp_e (fermion &n1, fermion &p1, fermion &n2, fermion &p2, double nB, double T, thermo &th1, thermo &th2, double &Ye, double &chi)
	Compute the liquid-gas phase transition in beta-equilibrium using eos_had_temp_base::calc_temp_e() . More...

Functions related to the symmetry energy
virtual double	fesym_T (double nb, double T, double delta=0.0)
	Compute the symmetry energy at finite temperature.

virtual double	fsyment_T (double nb, double T, double delta=0.0)
	Compute the symmetry entropy at finite temperature.

Helper functions
virtual double	calc_temp_mun_e (double nn, double np, double T)
	Neutron chemical potential as a function of the densities.

virtual double	calc_temp_mup_e (double nn, double np, double T)
	Proton chemical potential as a function of the densities.

virtual double	calc_temp_nn_p (double mun, double mup, double T)
	Neutron density as a function of the chemical potentials.

virtual double	calc_temp_np_p (double mun, double mup, double T)
	Proton density as a function of the chemical potentials.

double	calc_fr (double nn, double np, double T)
	Compute the free energy as a function of the temperature and the densities.

Susceptibilities
virtual void	f_number_suscept_T (double mun, double mup, double T, double &dPdnn, double &dPdnp, double &dPdpp)
	Compute the number susceptibilities as a function of the chemical potentials, $\partial^2 P / \partial \mu_i \mu_j$ at a fixed temperature.

virtual void	f_inv_number_suscept_T (double mun, double mup, double T, double &dednn, double &dednp, double &dedpp)
	Compute the 'inverse' number susceptibilities as a function of the densities, $\partial^2 \varepsilon / \partial n_i n_j$ at a fixed temperature.

Consistency check
void	check_en (fermion &n, fermion &p, double T, thermo &th, double &en_deriv, double &en_err)
	Check the entropy by computing the derivative numerically.

void	check_mu_T (fermion &n, fermion &p, double T, thermo &th, double &mun_deriv, double &mup_deriv, double &mun_err, double &mup_err)
	Check the chemical potentials at finite temperature by computing the derivative numerically.

Public Member Functions inherited from o2scl::eos_had_base
virtual double	fcomp (double nb, double delta=0.0)
	Calculate the incompressibility in $\mathrm{fm}^{-1}$ using calc_e() More...

virtual double	fcomp_err (double nb, double delta, double &unc)
	Compute the incompressibility and its uncertainty. More...

virtual double	feoa (double nb, double delta=0.0)
	Calculate the energy per baryon in $\mathrm{fm}^{-1}$ using calc_e() More...

virtual double	fesym (double nb, double delta=0.0)
	Calculate symmetry energy of matter in $\mathrm{fm}^{-1}$ using calc_dmu_delta() . More...

virtual double	fesym_err (double nb, double delta, double &unc)
	Calculate symmetry energy of matter and its uncertainty in $\mathrm{fm}^{-1}$ . More...

virtual double	fesym_slope (double nb, double delta=0.0)
	The symmetry energy slope parameter in $\mathrm{fm}^{-1}$ . More...

virtual double	fesym_curve (double nb, double delta=0.0)
	The curvature of the symmetry energy in $\mathrm{fm}^{-1}$ .

virtual double	fesym_skew (double nb, double delta=0.0)
	The skewness of the symmetry energy in $\mathrm{fm}^{-1}$ .

virtual double	fesym_diff (double nb)
	Calculate symmetry energy of matter as energy of neutron matter minus the energy of nuclear matter in $\mathrm{fm}^{-1}$ . More...

virtual double	feta (double nb)
	The strength parameter for quartic terms in the symmetry energy.

virtual double	feta_prime (double nb)
	The derivative of the strength parameter for quartic terms in the symmetry energy.

virtual double	fkprime (double nb, double delta=0.0)
	Calculate skewness of nuclear matter in $\mathrm{fm}^{-1}$ using calc_e() More...

virtual double	fmsom (double nb, double delta=0.0)
	Calculate reduced neutron effective mass using calc_e() More...

virtual double	f_effm_neut (double nb, double delta=0.0)
	Neutron (reduced) effective mass.

virtual double	f_effm_prot (double nb, double delta=0.0)
	Proton (reduced) effective mass.

virtual double	f_effm_scalar (double nb, double delta=0.0)
	Scalar effective mass. More...

virtual double	f_effm_vector (double nb, double delta=1.0)
	Vector effective mass. More...

virtual double	fn0 (double delta, double &leoa)
	Calculate saturation density using calc_e() More...

virtual void	f_number_suscept (double mun, double mup, double &dPdnn, double &dPdnp, double &dPdpp)
	Compute the number susceptibilities as a function of the chemical potentials, $\partial^2 P / \partial \mu_i \mu_j$ .

virtual void	f_inv_number_suscept (double mun, double mup, double &dednn, double &dednp, double &dedpp)
	Compute the 'inverse' number susceptibilities as a function of the densities, $\partial^2 \varepsilon / \partial n_i n_j$ .

virtual int	saturation ()
	Calculates some of the EOS properties at the saturation density. More...

double	calc_mun_e (double nn, double np)
	Compute the neutron chemical potential at fixed density. More...

double	calc_ed (double nn, double np)
	Compute the energy density as a function of the nucleon densities.

double	calc_pr (double nn, double np)
	Compute the pressure as a function of the nucleon chemical potentials.

double	calc_mup_e (double nn, double np)
	Compute the proton chemical potential at fixed density. More...

double	calc_nn_p (double mun, double mup)
	Compute the neutron density at fixed chemical potential. More...

double	calc_np_p (double mun, double mup)
	Compute the proton density at fixed chemical potential. More...

double	calc_dmu_delta (double delta, double nb)
	Compute the difference between neutron and proton chemical potentials as a function of the isospin asymmetry. More...

double	calc_musum_delta (double delta, double nb)
	Compute the sum of the neutron and proton chemical potentials as a function of the isospin asymmetry. More...

double	calc_pressure_nb (double nb, double delta=0.0)
	Compute the pressure as a function of baryon density at fixed isospin asymmetry. More...

double	calc_edensity_nb (double nb, double delta=0.0)
	Compute the energy density as a function of baryon density at fixed isospin asymmetry. More...

void	const_pf_derivs (double nb, double pf, double &dednb_pf, double &dPdnb_pf)
	Compute derivatives at constant proton fraction.

double	calc_press_over_den2 (double nb, double delta=0.0)
	Calculate pressure / baryon density squared in nuclear matter as a function of baryon density at fixed isospin asymmetry. More...

double	calc_edensity_delta (double delta, double nb)
	Calculate energy density as a function of the isospin asymmetry at fixed baryon density. More...

int	nuc_matter_p (size_t nv, const ubvector &x, ubvector &y, double nn0, double np0)
	Solve for the chemical potentials given the densities. More...

int	nuc_matter_e (size_t nv, const ubvector &x, ubvector &y, double mun0, double mup0)
	Solve for the densities given the chemical potentials. More...

virtual void	set_mroot (mroot<> &mr)
	Set class mroot object for use in calculating chemical potentials from densities. More...

virtual void	set_sat_root (root<> &mr)
	Set class mroot object for use calculating saturation density. More...

virtual void	set_sat_deriv (deriv_base<> &de)
	Set deriv_base object to use to find saturation properties.

virtual void	set_sat_deriv2 (deriv_base<> &de)
	Set the second deriv_base object to use to find saturation properties. More...

virtual void	set_n_and_p (fermion &n, fermion &p)
	Set neutron and proton.

void	gradient_qij (fermion &n, fermion &p, thermo &th, double &qnn, double &qnp, double &qpp, double &dqnndnn, double &dqnndnp, double &dqnpdnn, double &dqnpdnp, double &dqppdnn, double &dqppdnp)
	Calculate coefficients for gradient part of Hamiltonian. More...

virtual const char *	type ()
	Return string denoting type ("eos_had_base")

void	check_mu (fermion &n, fermion &p, thermo &th, double &mun_deriv, double &mup_deriv, double &mun_err, double &mup_err)
	Check the chemical potentials by computing the derivatives numerically.

void	check_den (fermion &n, fermion &p, thermo &th, double &nn_deriv, double &np_deriv, double &nn_err, double &np_err)
	Check the densities by computing the derivatives numerically.

Public Member Functions inherited from o2scl::eos_base
virtual void	set_thermo (thermo &th)
	Set class thermo object.

virtual const thermo &	get_thermo ()
	Get class thermo object.

Protected Member Functions
int	nuc_matter_temp_e (size_t nv, const ubvector &x, ubvector &y, double nn0, double np0, double T)
	Solve for nuclear matter at finite temperature given density.

int	nuc_matter_temp_p (size_t nv, const ubvector &x, ubvector &y, double mun0, double mup0, double T)
	Solve for nuclear matter at finite temperature given mu.

int	liqgas_dens_solve (size_t nv, const ubvector &x, ubvector &y, fermion &n1, fermion &p1, fermion &n2, fermion &p2, double T, thermo &th1, thermo &th2)
	Solve for the liquid gas phase transition as a function of the densities.

int	liqgas_solve (size_t nv, const ubvector &x, ubvector &y, fermion &n1, fermion &p1, fermion &n2, fermion &p2, double nB0, double Ye0, double T, thermo &th1, thermo &th2)
	Solve for the liquid-gas phase transition at fixed baryon density and electron fraction.

int	liqgas_beta_solve (size_t nv, const ubvector &x, ubvector &y, fermion &n1, fermion &p1, fermion &n2, fermion &p2, double nB0, double T, thermo &th1, thermo &th2, fermion &e)
	Solve for the liquid-gas phase transition in beta-equilibrium.

double	calc_entropy_delta (double delta, double nb, double T)
	Compute the entropy.

double	calc_dmu_delta_T (double delta, double nb, double T)
	Compute the difference between the neutron and proton chemical potentials.

Protected Member Functions inherited from o2scl::eos_had_base
double	t1_fun (double barn)
	Compute t1 for gradient_qij().

double	t2_fun (double barn)
	Compute t2 for gradient_qij().

Protected Attributes
fermion_eval_thermo *	fet
	Fermion thermodynamics (default is def_fet)

Protected Attributes inherited from o2scl::eos_had_base
mroot *	eos_mroot
	The EOS solver.

root *	sat_root
	The solver to compute saturation properties.

deriv_base *	sat_deriv
	The derivative object for saturation properties.

deriv_base *	sat_deriv2
	The second derivative object for saturation properties.

fermion *	neutron
	The neutron object.

fermion *	proton
	The proton object.

Protected Attributes inherited from o2scl::eos_base
thermo *	eos_thermo
	A pointer to the thermo object.

fermion_eff	def_fet
	Default fermion thermodynamics object.

virtual void	set_fermion_eval_thermo (fermion_eval_thermo &f)
	Computing finite-temperature integrals. More...

Additional Inherited Members
Public Types inherited from o2scl::eos_had_base
typedef boost::numeric::ublas::vector< double >	ubvector

Public Attributes inherited from o2scl::eos_had_base
double	eoa
	Binding energy (without the rest mass) in $\mathrm{fm}^{-1}$ .

double	comp
	Compression modulus in $\mathrm{fm}^{-1}$ .

double	esym
	Symmetry energy in $\mathrm{fm}^{-1}$ .

double	n0
	Saturation density in $\mathrm{fm}^{-3}$ .

double	msom
	Effective mass (neutron)

double	kprime
	Skewness in $\mathrm{fm}^{-1}$ .

bool	err_nonconv
	If true, call the error handler if msolve() or msolve_de() does not converge (default true)

fermion	def_neutron
	The defaut neutron. More...

fermion	def_proton
	The defaut proton. More...

deriv_gsl	def_deriv
	The default object for derivatives. More...

deriv_gsl	def_deriv2
	The second default object for derivatives. More...

mroot_hybrids	def_mroot
	The default solver. More...

root_cern	def_sat_root
	The default solver for calculating the saturation density. More...

Public Attributes inherited from o2scl::eos_base
thermo	def_thermo
	The default thermo object.

Member Function Documentation

◆ calc_liqgas_beta_temp_e()

virtual int o2scl::eos_had_temp_base::calc_liqgas_beta_temp_e	(	fermion &	n1,
		fermion &	p1,
		fermion &	n2,
		fermion &	p2,
		double	nB,
		double	T,
		thermo &	th1,
		thermo &	th2,
		double &	Ye,
		double &	chi
	)

virtual

At fixed baryon number density, nB, and fixed temperature, T, this function determines the baryon number densities for n1, p1, n2, and p2 which give chemical and mechanical equilibrium assuming beta-equilibrium with electrons. The thermodynamic quantities assuming bulk matter for each set is stored in th1 and th2, the electron fraction is stored in Ye, and the volume fraction of phase 1 is stored in chi.

◆ calc_liqgas_dens_temp_e()

virtual int o2scl::eos_had_temp_base::calc_liqgas_dens_temp_e	(	fermion &	n1,
		fermion &	p1,
		fermion &	n2,
		fermion &	p2,
		double	T,
		thermo &	th1,
		thermo &	th2
	)

virtual

At fixed baryon number density for n1, this determines the baryon number densities for p1, n2, and p2 which give chemical and mechanical equilibrium at a fixed temperature T. The thermodynamic quantities assuming bulk matter for each set is stored in th1 and th2.

◆ calc_liqgas_temp_e()

virtual int o2scl::eos_had_temp_base::calc_liqgas_temp_e	(	fermion &	n1,
		fermion &	p1,
		fermion &	n2,
		fermion &	p2,
		double	nB,
		double	Ye,
		double	T,
		thermo &	th1,
		thermo &	th2,
		double &	chi
	)

virtual

At fixed baryon number density, nB, fixed electron fraction, Ye, and fixed temperature, T, this function determines the baryon number densities for n1, p1, n2, and p2 which give chemical and mechanical equilibrium. The thermodynamic quantities assuming bulk matter for each set is stored in th1 and th2, and the volume fraction of phase 1 is stored in chi.

◆ set_fermion_eval_thermo()

virtual void o2scl::eos_had_temp_base::set_fermion_eval_thermo ( fermion_eval_thermo & f )

inlinevirtual

Set the object for computing finite-temperature fermions (default is def_fet)

Definition at line 1057 of file eos_had_base.h.

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

/home/awsteiner/wcs/o2scl/src/eos/eos_had_base.h

Detailed Description

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Function Documentation

◆ calc_liqgas_beta_temp_e()

◆ calc_liqgas_dens_temp_e()

◆ calc_liqgas_temp_e()

◆ set_fermion_eval_thermo()