Detailed Description

References:

Definition at line 163 of file eos_had_sym4.h.

Public Member Functions
virtual int	calc_e_sep (fermion &ne, fermion &pr, double &ed_kin, double &ed_pot, double &mu_n_kin, double &mu_p_kin, double &mu_n_pot, double &mu_p_pot)
	Compute the potential and kinetic parts separately.

virtual int	test_separation (fermion &ne, fermion &pr, test_mgr &t)
	Test the separation of the potential and kinetic energy parts.

Public Member Functions inherited from o2scl::eos_had_potential
	eos_had_potential ()

virtual int	calc_e (fermion &ne, fermion &pr, thermo &lt)
	Equation of state as a function of density.

int	set_mu_deriv (deriv_base<> &de)
	Set the derivative object to calculate the chemical potentials.

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

Public Member Functions inherited from o2scl::eos_had_eden_base
virtual int	calc_p (fermion &n, fermion &p, thermo &th)
	Equation of state as a function of the chemical potentials.

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...

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 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	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.

Public Member Functions inherited from o2scl::eos_had_sym4_base
virtual int	calc_e_alpha (fermion &ne, fermion &pr, thermo &lth, double &alphak, double &alphap, double &alphat, double &diff_kin, double &diff_pot, double &ed_kin_nuc, double &ed_pot_nuc)
	Compute alpha at the specified density.

virtual double	calc_muhat (fermion &ne, fermion &pr)
	Compute $\hat{\mu}$ , the out-of-whack parameter.

Protected Member Functions
double	energy_kin (double var)
	Compute the kinetic part of the energy density.

double	energy_pot (double var)
	Compute the potential part of the energy density.

Protected Member Functions inherited from o2scl::eos_had_potential
double	mom_integral (double pft, double pftp)
	Compute the momentum integral for mdi_form.

double	energy (double x)
	Compute the energy.

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().

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_potential
double	x

double	Au

double	Al

double	rho0

double	B

double	sigma

double	Cl

double	Cu

double	Lambda

double	A

double	x0

double	x3

double	Bp

double	C1

double	z1

double	Lambda2

double	C2

double	z2

double	bpal_esym

int	sym_index

int	form
	Form of potential.

deriv_gsl	def_mu_deriv
	The default derivative object for calculating chemical potentials.

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

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)

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...

fermion	def_neutron
	The defaut neutron. More...

fermion	def_proton
	The defaut proton. More...

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

Static Public Attributes inherited from o2scl::eos_had_potential
static const int	mdi_form =1
	The "momentum-dependent-interaction" form from Das03. More...

static const int	bgbd_form =2
	The modifed GBD form.

static const int	bpal_form =3
	The form from Prakash88 as formulated in Bombaci01.

static const int	sl_form =4
	The "SL" form. See Bombaci01.

static const int	gbd_form =5
	The Gale, Bertsch, Das Gupta from Gale87.

static const int	pal_form =6
	The form from Prakash88.

Protected Attributes inherited from o2scl::eos_had_potential
fermion_nonrel	nrf
	Non-relativistic fermion thermodyanmics.

bool	mu_deriv_set
	True of the derivative object has been set.

deriv_base *	mu_deriv_ptr
	The derivative object.

int	mode

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.

Protected Attributes inherited from o2scl::eos_had_sym4_base
fermion	e
	An electron for the computation of the $\hat{\mu}$ .

fermion_zerot	fzt2
	Zero-temperature fermion thermodynamics.

Static Protected Attributes inherited from o2scl::eos_had_potential
static const int	nmode =1

static const int	pmode =2

static const int	normal =0

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

/home/awsteiner/wcs/o2scl/src/eos/eos_had_sym4.h

Detailed Description

Public Member Functions

Protected Member Functions

Additional Inherited Members