Detailed Description

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 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.

Idea for Future:: Use hypot() and other more accurate functions for the analytic expressions for the zero temperature integrals. [Progress has been made, but there are probably other functions which may break down for small but finite masses and temperatures]

Definition at line 123 of file fermion.h.

Public Member Functions
Zero-temperature fermions
void	kf_from_density (fermion &f)
	Calculate the Fermi momentum from the density. More...

void	energy_density_zerot (fermion &f)
	Energy density at T=0 from fermion::kf and part::ms. More...

void	pressure_zerot (fermion &f)
	Pressure at T=0 from fermion::kf and part::ms. More...

virtual void	calc_mu_zerot (fermion &f)
	Zero temperature fermions from part::mu or part::nu and part::ms.

virtual void	calc_density_zerot (fermion &f)
	Zero temperature fermions from part::n and part::ms.

Member Function Documentation

◆ energy_density_zerot()

void o2scl::fermion_zerot::energy_density_zerot ( fermion & f )

Calculates the integral

$\varepsilon = \frac{g}{2 \pi^2} \int_0^{k_F} k^2 \sqrt{k^2+m^{* 2}} d k$

◆ kf_from_density()

void o2scl::fermion_zerot::kf_from_density ( fermion & f )

Uses the relation $k_F = ( 6 \pi^2 n /g )^{1/3}$

◆ pressure_zerot()

void o2scl::fermion_zerot::pressure_zerot ( fermion & f )

Calculates the integral

$P=\frac{g}{6 \pi^2} \int_0^{k_F} \frac{k^4}{\sqrt{k^2+m^{* 2}}} d k$

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

/home/awsteiner/wcs/o2scl/src/part/fermion.h

Detailed Description

Public Member Functions

Member Function Documentation

◆ energy_density_zerot()

◆ kf_from_density()

◆ pressure_zerot()