lsst_inaf_agile.schulze2015

Functions

get_log_Psi(log_M_bh, log_lambda_edd, redshift[, ...])	Return the AGN bivariate (MBH-lambda) distribution function.
get_log_Phi_bh(log_M_bh, redshift[, ...])	Return 1-d BHMF by integrating along lambda_edd.
get_log_Phi_lambda_edd(log_lambda_edd, redshift[, ...])	Return 1-d ERDF by integrating along MBH.

Module Contents

get_log_Psi(log_M_bh, log_lambda_edd, redshift, log_Psi_star=-5.32, log_M_bh_star=9.09, alpha=-1.5, beta=0.96, log_lambda_edd_star0=-1.19, alpha_lambda_edd=-0.29, k_lambda_edd=0.099, gamma=0.05, c_bh=0.27, c_lambda_edd=0.1, c_alpha_lambda_edd=0.094, log_M_bh_c=8, redshift_c=1.6)

Return the AGN bivariate (MBH-lambda) distribution function.

The bivariate distribution function is the number density of AGN within some tiny dlogMBH, dloglambda interval. The distribution has the dimensions of 1/volume/dbin ** 2 (i.e. typically 1/Mpc3/dex2). One-dimensional distribution functions may be derived by integrating along a dimension of the bivariate distribution function.

See: https://ui.adsabs.harvard.edu/abs/2015MNRAS.447.2085S/abstract

Parameters:

• log_M_bh (float) – log10 of the SMBH mass in Msun.

• log_lambda_edd (float) – log10 of the Eddington ratio (dimensionless).

• redshift (float) – Redshift of the bivariate distribution function.

• *parameters (float) – The 13 parameters that fully define the Schulze+2015 model. Refer Schulze+2015 Sec. 4.2.

Returns:

log_Psi – The bivariate distribution function corresponding to the parameters.

Return type:

float

get_log_Phi_bh(log_M_bh, redshift, log_lambda_edd_min=-2, log_lambda_edd_max=1, *args, **kwargs)

Return 1-d BHMF by integrating along lambda_edd.

get_log_Phi_lambda_edd(log_lambda_edd, redshift, log_M_bh_min=7, log_M_bh_max=11, *args, **kwargs)

Return 1-d ERDF by integrating along MBH.