Bocquet200cHydro

class hmf.mass_function.fitting_functions.Bocquet200cHydro(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]

Bocquet 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 Bocquet [1] form is:

\[f_{\rm Bocquet}(\sigma) = A\left[\left(\frac{e}{\sigma}\right)^b + 1\right]\exp(-\frac{d}{\sigma^2})\]

References

[1]

Bocuet, S., et al., 2016, MNRAS 456 2361

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)
convert_mass()

Function to compute mass in this definition compared to 200m.

This is an analytic approximation, not a full mass translation, and is calibrated to the NFW profile with Duffy+08 concentration-mass relation. This ratio is applied in fsigma().

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.

get_params()

Get the redshift-dependent parameters.