Reed07

class hmf.mass_function.fitting_functions.Reed07(nu2: ndarray, m: None | ndarray = None, z: float = 0.0, n_eff: None | ndarray = None, mass_definition: None | BaseMassDefinition = None, cosmo: FLRW = FlatLambdaCDM(name='Planck15', H0=<Quantity 67.74 km / (Mpc s)>, Om0=0.3075, Tcmb0=<Quantity 2.7255 K>, Neff=3.046, m_nu=<Quantity [0., 0., 0.06] eV>, Ob0=0.0486), delta_c: float = 1.68647, **model_parameters)[source]

Reed07 mass function fit.

For details on attributes, see documentation for FittingFunction.

Parameters:

  • nu2 (array_like) – A vector of peak-heights, \(\delta_c^2/\sigma^2\) corresponding to m

  • m (array_like, optional) – A vector of halo masses [units M_sun/h]. Only necessary if req_mass is True. Typically provides limits of applicability. Must correspond to nu2.

  • z (float, optional) – The redshift. Only required if req_z is True, in which case the default is 0.

  • n_eff (array_like, optional) – The effective spectral index at m. Only required if req_neff is True.

  • mass_definition (hmf.halos.mass_definitions.MassDefinition instance) – A halo mass definition. Only required for fits which explicitly include a parameterization for halo definition.

  • cosmo (astropy.cosmology.FLRW instance, optional) – A cosmology. Default is Planck15. Either omegam_z or cosmo is required if req_omz is True. If both are passed, omegam_z takes precedence.

  • **model_parameters (unpacked-dictionary) – These parameters are model-specific. For any model, list the available parameters (and their defaults) using <model>._defaults

Notes

The Reed07 [1] form is:

\[f_{\rm R07}(\sigma) = A\sqrt{2a/\pi}\left[1+(\frac{1}{a\nu^2})^p+0.6G_1+0.4G_2\right]\nu\exp\left(-ca\nu^2/2-\frac{0.03\nu^{0.6}}{(n_{\rm eff}+3)^2}\right)\]

References

[1]

Reed, D. S., et al., Jan. 2007. MNRAS 374 (1), 2-15. http://adsabs.harvard.edu/abs/2007MNRAS.374….2R

Attributes

Methods

__init__(nu2: ndarray, m: None | ndarray = None, z: float = 0.0, n_eff: None | ndarray = None, mass_definition: None | BaseMassDefinition = None, cosmo: FLRW = FlatLambdaCDM(name='Planck15', H0=<Quantity 67.74 km / (Mpc s)>, Om0=0.3075, Tcmb0=<Quantity 2.7255 K>, Neff=3.046, m_nu=<Quantity [0., 0., 0.06] eV>, Ob0=0.0486), delta_c: float = 1.68647, **model_parameters)
classmethod get_measured_mdef()

Get the mass definition used in the defining simulation.

classmethod get_models() → dict[str, type]

Get a dictionary of all implemented models for this component.