Class fermion_zerot_tl (o2scl)¶
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template<class fp_t = double>
class fermion_zerot_tl¶ Fermion properties at zero temperature.
This is a base class for the computation of fermionic statistics at zero temperature. The more general case of finite temperature is taken care of by fermion_thermo_tl objects. The primary functions are calc_mu_zerot() and calc_density_zerot() which compute all the thermodynamic quantities as a function of the chemical potential, or the density, respectively.
Subclassed by o2scl::fermion_thermo_tl< fermion_deriv_tl< double >, class o2scl::fermi_dirac_integ_gsl, o2scl::bessel_K_exp_integ_gsl, root_cern<>, funct, double >, o2scl::fermion_thermo_tl< fermion_tl< double >, fermi_dirac_integ_gsl, bessel_K_exp_integ_gsl, root_cern<>, funct, double >, o2scl::fermion_thermo_tl< fermion_tl< double >, class o2scl::fermi_dirac_integ_gsl, o2scl::bessel_K_exp_integ_gsl, root_cern<>, funct, double >, o2scl::fermion_thermo_tl< fermion_tl< cpp_dec_float_25 >, fermi_dirac_integ_direct< cpp_dec_float_25, funct_cdf35, cpp_dec_float_35 >, bessel_K_exp_integ_boost< cpp_dec_float_25, cpp_dec_float_35 >, root_brent_gsl< funct_cdf25, cpp_dec_float_25 >, funct_cdf25, cpp_dec_float_25 >, o2scl::fermion_thermo_tl< fermion_tl< long double >, fermi_dirac_integ_direct< long double, funct_cdf25, cpp_dec_float_25 >, bessel_K_exp_integ_boost< long double, cpp_dec_float_25 >, root_brent_gsl< funct_ld, long double >, funct_ld, long double >, o2scl::fermion_thermo_tl< fermion_deriv, class o2scl::fermi_dirac_integ_gsl, o2scl::bessel_K_exp_integ_gsl, root_cern<>, funct, double >, o2scl::fermion_thermo_tl< fermion_t, fd_inte_t, be_inte_t, root_t, func_t, fp_t >
Zero-temperature fermions
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inline void kf_from_density(fermion_tl<fp_t> &f)¶
Calculate the Fermi momentum from the density.
Uses the relation \( k_F = ( 6 \pi^2 n /g )^{1/3} \)
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inline void energy_density_zerot(fermion_tl<fp_t> &f)¶
Energy density at T=0 from o2scl::fermion_tl::kf and o2scl::part_tl::ms.
Calculates the integral
\[ \varepsilon = \frac{g}{2 \pi^2} \int_0^{k_F} k^2 \sqrt{k^2+m^{* 2}} d k \]
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inline void pressure_zerot(fermion_tl<fp_t> &f)¶
Pressure at T=0 from o2scl::fermion_tl::kf and o2scl::part_tl::ms.
Calculates the integral
\[ P=\frac{g}{6 \pi^2} \int_0^{k_F} \frac{k^4}{\sqrt{k^2+m^{* 2}}} d k \]
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inline virtual void calc_mu_zerot(fermion_tl<fp_t> &f)¶
Zero temperature fermions from o2scl::part_tl::mu or o2scl::part_tl::nu and o2scl::part_tl::ms.
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inline virtual void calc_density_zerot(fermion_tl<fp_t> &f)¶
Zero temperature fermions from o2scl::part_tl::n and o2scl::part_tl::ms.
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inline void kf_from_density(fermion_tl<fp_t> &f)¶