Stability Level

Functions

Types and Values

Object Hierarchy

    GObject
    ╰── NcWindow
        ╰── NcWindowGaussian

Includes

#include <numcosmo/lss/nc_window_gaussian.h>

Description

This object implements the NcWindow class for a Gaussian window function.

The gaussian window function in the real space is defined as, \begin{equation*} W_G(r, R) = (2 \pi R^2)^{-3/2}\exp \left( \frac{-r^2}{2 R^2} \right). \end{equation*} The mass enclosed within the volume selected by this window function is $$M_G(R) = (2\pi)^{3/2}\bar{\rho}(z) R^3 \, ,$$ where $\bar{\rho}(z)$ is the mean density of the universe at redshift $z$.

When the function nc_window_eval_fourier() is applied, it returns the gaussian window function in the Fourier space, \begin{equation*} W_G(k, R) = \exp \left( \frac{-k^2 R^2}{2} \right). \end{equation*} and nc_window_deriv_fourier() returns the derivative with respect to R of the gaussian window function in the Fourier space, \begin{equation*} \frac{dW_G(k, R)}{dR} = -k^2 R \exp \left( \frac{-k^2 R^2}{2} \right). \end{equation*} The derivative with respect to R in real space is performed by nc_window_eval_realspace().

Functions

NcWindow *
nc_window_gaussian_new (void);

Types and Values

#define NC_WINDOW_VOLUME_GAUSSIAN (sqrt (2.0 * M_PI) * sqrt (2.0 * M_PI) * sqrt (2.0 * M_PI)) /* (2.0 \Pi)^(3/2) */