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| double | Delta | Read / Write / Construct |
| NcMultiplicityFuncMassDef | mass-def | Read / Write / Construct |
GEnum ╰── NcMultiplicityFuncMassDef GObject ╰── NcMultiplicityFunc ├── NcMultiplicityFuncBocquet ├── NcMultiplicityFuncCrocce ├── NcMultiplicityFuncJenkins ├── NcMultiplicityFuncPS ├── NcMultiplicityFuncST ├── NcMultiplicityFuncTinker ├── NcMultiplicityFuncTinkerMeanNormalized ├── NcMultiplicityFuncWarren ╰── NcMultiplicityFuncWatson
The multiplicity function comprises information about the non-linear regime of halo (structure) formation. The mass function can be written as \begin{equation}\label{def:multip} \frac{dn (M,z)}{d\ln M} = - \frac{\rho_m (z)}{M} f(\sigma_R, z) \frac{1}{\sigma_R} \frac{d\sigma_R}{d\ln M}, \end{equation} where $\rho_m(z)$ is the mean matter density at redshift $z$, $f(\sigma_R, z)$ is the multiplicity function, and $\sigma_R$ is the variance of the linear density contrast filtered on the length scale $R$ associated to the mass $M$.
void
nc_multiplicity_func_free (NcMultiplicityFunc *mulf);
Atomically decrements the reference count of mulf
by one. If the reference count drops to 0,
all memory allocated by mulf
is released.
void
nc_multiplicity_func_clear (NcMultiplicityFunc **mulf);
Atomically decrements the reference count of mulf
by one. If the reference count drops to 0,
all memory allocated by mulf
is released. Set pointer to NULL.
void nc_multiplicity_func_set_mdef (NcMultiplicityFunc *mulf,NcMultiplicityFuncMassDef mdef);
Sets the mass definition to mdef.
[virtual set_mdef]
void nc_multiplicity_func_set_Delta (NcMultiplicityFunc *mulf,gdouble Delta);
Sets the Delta for mean or matter mass definition to mdef.
[virtual set_Delta]
gdouble
nc_multiplicity_func_get_Delta (NcMultiplicityFunc *mulf);
Gets the Delta Value.
[virtual get_Delta]
gdouble nc_multiplicity_func_get_matter_Delta (NcMultiplicityFunc *mulf,NcHICosmo *cosmo,gdouble z);
Gets the Delta Value with the matter density definition.
[virtual get_matter_Delta]
NcMultiplicityFuncMassDef
nc_multiplicity_func_get_mdef (NcMultiplicityFunc *mulf);
Gets the mass definition.
[virtual get_mdef]
gdouble nc_multiplicity_func_eval (NcMultiplicityFunc *mulf,NcHICosmo *cosmo,gdouble sigma,gdouble z);
FIXME
[virtual eval]
gboolean
nc_multiplicity_func_has_correction_factor
(NcMultiplicityFunc *mulf);
Checks if the multiplicity function has a correction factor, e.g., NcMultiplicityFuncBocquet (when using matter density).
[virtual has_correction_factor]
gdouble nc_multiplicity_func_correction_factor (NcMultiplicityFunc *mulf,NcHICosmo *cosmo,gdouble sigma,gdouble z,gdouble lnM);
FIXME
[virtual correction_factor]
Spherical overdensity halo mass: $$M_\Delta = \frac{4\pi}{3} \Delta \rho_\mathrm{bg} r_\Delta^3,$$
where $\rho_\mathrm{bg}$ is the background density of the universe at redshift z, $\rho_\mathrm{bg} (z)$.
For NC_HALO_DENSITY_PROFILE_MASS_DEF_VIRIAL
, the parameter “log10MDelta” is ignored and
\begin{equation}\label{def:DVir}
\Delta_\mathrm{Vir} = 18 \pi^2 + 82 x - 39 x^2, \quad x \equiv \Omega_m(z) - 1.
\end{equation}
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halo mass defined in terms of the mean density $\rho_\mathrm{bg} = \rho_m(z)$ |
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halo mass defined in terms of the critical density $\rho_\mathrm{bg} = \rho_\mathrm{crit}(z)$ |
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halo mass defined in terms of virial overdensity times the critical density $\rho_\mathrm{bg} = \rho_\mathrm{crit |
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friends of friends |
“Delta” property “Delta” double
Delta.
Owner: NcMultiplicityFunc
Flags: Read / Write / Construct
Allowed values: >= 1
Default value: 200
“mass-def” property“mass-def” NcMultiplicityFuncMassDef
It refers to the halo finder used to obtain the multiplicity function (e.g., SO and FoF), and the background density $\rho_\mathrm{bg}$ used in the mass definition \eqref{eq:mrr}. See the enumerator NcMultiplicityFuncMassDef for more details about the background density definition.
Owner: NcMultiplicityFunc
Flags: Read / Write / Construct
Default value: NC_MULTIPLICITY_FUNC_MASS_DEF_MEAN