Pressure profiles

This module does not contain new functional forms, but implements GNFW profiles in a particular parameterization, commonly used to describe the pressure profiles of galaxy clusters. The most general pressure profile object is the PressureGNFW, which defines the following profile:

\[P(r) = \frac{P_0}{x^\gamma(1+x^\alpha)^{(\beta-\gamma)/\alpha}} P_\Delta\]

where \(\Delta\) is a spherical overdensity of choice (typically 500), and

\[P_\Delta = a\left(\frac{M_\Delta}{b}\right)^c E(z)^d\]

The parameters \((\alpha,\beta,\gamma)\) are specified as optional arguments (alpha,beta,gamma) in the definition of the PressureGNFW object, while the parameters \((a,b,c,d)\) are specified in the pm_scaling optional argument, which takes a list of four values. By default, all these parameters are set to those found by Nagai et al. (2007).

Specific cases

A specific case of a PressureGNFW is the Arnaud10 class, which is a PressureGNFW object but with all default parameters set to those obtained by Arnaud et al. (2010).