Bhattacharya

class hmf.mass_function.fitting_functions.Bhattacharya(**kwargs)[source]

Bhattacharya 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 Bhattacharya [1] form is:

\[f_{\rm Btc}(\sigma) = f_{\rm SMT}(\sigma) (\nu\sqrt{a})^{q-1}\]

References

[1]

Bhattacharya, S., et al., May 2011. ApJ 732 (2), 122. http://labs.adsabs.harvard.edu/ui/abs/2011ApJ…732..122B

Attributes

Methods

__init__(**kwargs)[source]
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.