halomod.profiles.PowerLawWithExpCut

class halomod.profiles.PowerLawWithExpCut(cm_relation, mdef=<hmf.halos.mass_definitions.SOMean object>, z=0.0, cosmo=FlatLambdaCDM(name="Planck15", H0=67.7 km / (Mpc s), Om0=0.307, Tcmb0=2.725 K, Neff=3.05, m_nu=[0.   0.   0.06] eV, Ob0=0.0486), **model_parameters)

A simple power law with exponential cut-off.

Default is taken to be the z=1 case of [1].

Notes

This is an empirical form proposed with the formula

\[\rho(r) = \rho_s * R_s^b / r^b * e^{-ar/R_s}\]

References

1

Spinelli, M. et al., “The atomic hydrogen content of the post-reionization Universe”, https://ui.adsabs.harvard.edu/abs/2020MNRAS.493.5434S/abstract.

Methods

__init__(cm_relation[, mdef, z, cosmo, Om0, …])	Initialize self.
cdf(r[, c, m, coord])	The cumulative distribution function, \(m(<x)/m_v\)
cm_relation(m)	The halo_concentration-mass relation
get_models()	Get a dictionary of all implemented models for this component.
halo_mass_to_radius(m[, at_z])	Return the halo radius corresponding to m.
halo_radius_to_mass(r[, at_z])	Return the halo mass corresponding to r.
lam(r, m[, norm, c, coord])	The density profile convolved with itself.
populate(n, m[, c, centre])	Populate a halo with the current halo profile of mass m with n tracers.
rho(r, m[, norm, c, coord])	The density at radius r of a halo of mass m.
scale_radius(m[, at_z])	Return the scale radius for a halo of mass m.
u(k, m[, norm, c, coord])	The fourier-transform of the density halo_profile
virial_velocity([m, r])	Return the virial velocity for a halo of mass m.