picasso.nonthermal: Non-thermal pressure support

f_nt_shaw10(r_R500, z[, alpha_0, beta, n_nt])	Non-thermal pressure fraction computed from the Shaw+10 model
f_nt_nelson14(r_RDelta, A, B, C)	Non-thermal pressure fraction computed from an adapted version of the Nelson+14 model (see Notes)
f_nt_generic(r_RDelta, a, b, c)	Generic expression for non-thermal pressure fraction: a power law evolution with radius, plus a constant plateau (see Notes)

picasso.nonthermal.f_nt_shaw10(r_R500, z, alpha_0=0.18, beta=0.5, n_nt=0.8)

Non-thermal pressure fraction computed from the Shaw+10 model

Parameters:

• r_R500 (array-like) – Radii normalized to R500c

• alpha_0 (float, optional) – Non-thermal pressure fraction at z=0 and r=R500c, by default 0.18

• beta (float, optional) – Redshift evolution rate, by default 0.5

• n_nt (float, optional) – Power-law radial dependence, by default 0.8

Returns:

Non-thermal pressure fraction for each radius

Return type:

array-like

picasso.nonthermal.f_nt_nelson14(r_RDelta, A, B, C)

Non-thermal pressure fraction computed from an adapted version of the Nelson+14 model (see Notes)

Parameters:

• r_RDelta (array-like) – Radii normalized to RDelta

• A (float) – \(A\) parameter values

• B (float) – \(B\) parameter values

• C (float) – \(C\) parameter values

Returns:

Non-thermal pressure fraction for each radius

Return type:

array-like

Notes

The model is computed as:

\[f_{nt} = 1 - A \times \left\{ 1 + \exp \left[ -\left( \frac{r}{B \times R_\Delta} \right)^{C} \right] \right\}. \]

This is a modified version of the original model (see eq. 7 in Nelson+14), where the radius is expressed in units of RDelta instead of R200m.

picasso.nonthermal.f_nt_generic(r_RDelta, a, b, c)

Generic expression for non-thermal pressure fraction: a power law evolution with radius, plus a constant plateau (see Notes)

Parameters:

• r_RDelta (array-like) – Radii normalized to RDelta

• A (float) – Non-thermal pressure fraction in the cluster center

• B (float) – Non-thermal pressure fraction at r=RDelta

• C (float) – Power law radial dependence of f_nt

Returns:

Non-thermal pressure fraction for each radius

Return type:

array-like

Notes

The model is computed as:

\[f_{nt} = A + (B-A) \left(\frac{r}{R_\Delta}\right)^C \]