{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Computing mass functions, halo biases and concentrations\n", "This notebook illustrates how to compute mass functions, halo biases and concentration-mass relations with CCL, as well as how to translate between different mass definitions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pylab as plt\n", "import pyccl as ccl\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminaries\n", "Generate a cosmology object and a few mass/redshift arrays" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Cosmology\n", "cosmo = ccl.Cosmology(Omega_c=0.27, Omega_b=0.045,\n", " h=0.67, A_s=2.1e-9, n_s=0.96)\n", "\n", "# Array of masses\n", "m_arr = np.geomspace(1E10,1E15,128)\n", "\n", "# Array of redshifts\n", "z_arr = np.linspace(0.,1.,16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass definitions\n", "CCL admits 3 different classes of definitions:\n", "- Spherical overdensity (SO). The mass is defined as that enclosed by a radius within which the mean density is a factor $\\Delta$ larger than the matter or critical density ($x$ is either $M$ or ${\\rm crit}$: \n", "\n", "\\begin{equation}\n", " M_{\\Delta,x} = \\frac{4\\pi}{3}\\Delta\\rho_x R_{\\Delta,x}^3\n", "\\end{equation},\n", "- Virial spherical overdensity. The same as SO for the specific choice $\\Delta=\\Delta_{\\rm vir}(z)$ and $x={\\rm critical}$, where $\\Delta_{\\rm vir}$ is the virial overdensity, which CCL computes from Brian & Norman 1998.\n", "- Friends-of-friends masses (fof).\n", "\n", "CCL is able to translate masses assuming an NFW profile. This is only an approximation, and it's actually better to make sure you use consistent mass definitions throughout, but this functionality is provided for convenience.\n", "\n", "These mass definition objects can then be passed around to all halo-model functions to make sure masses are treated consistently.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Delta=200 (matter).\n", "hmd_200m = ccl.halos.MassDef200m\n", "\n", "# Delta=200 (critical).\n", "hmd_200c = ccl.halos.MassDef200c\n", "\n", "# Delta=500 (matter).\n", "hmd_500m = ccl.halos.MassDef(500, 'matter')\n", "\n", "# Virial overdensity\n", "hmd_vir = ccl.halos.MassDefVir\n", "\n", "# FoF mass definition\n", "hmd_fof = ccl.halos.MassDefFof" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that associating concentration-mass relations with mass definitions is only necessary if you'll want to translate between different mass definitions. Otherwise, you can use any concentration-mass relation you want for a given mass definition as we show further down (even if that c(M) relation is not the one you used to initialize the corresponding mass definition object)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass functions\n", "Mass functions are computed through classes that inherit from the `MassFunc` class. CCL supports a wide variety of mass function parametrizations, but more can be created following the instructions in the documentation.\n", "\n", "All mass functions have a mass definition attached to them. Some mass functions support a range of mass definitions, and you can select which one you want when instantiating the class. All mass functions have default mass definitions, which are used if `None` is passed (which is the case below)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hmfs = []\n", "# Press & Schechter mass function\n", "hmfs.append(ccl.halos.MassFuncPress74(mass_def=hmd_fof))\n", "\n", "# Sheth & Tormen mass function\n", "hmfs.append(ccl.halos.MassFuncSheth99(mass_def=hmd_fof))\n", "\n", "# Tinker 2008 mass function\n", "hmfs.append(ccl.halos.MassFuncTinker08(mass_def=hmd_200m))\n", "\n", "# Tinker 2010 mass function\n", "hmfs.append(ccl.halos.MassFuncTinker10(mass_def=hmd_200m))\n", "\n", "# Bocquet 2016 mass function\n", "hmfs.append(ccl.halos.MassFuncBocquet16(mass_def=hmd_200m))\n", "\n", "# Let's plot all of them at z=0\n", "plt.figure()\n", "for mf in hmfs:\n", " nm = mf(cosmo, m_arr, 1.)\n", " plt.plot(m_arr,\n", " m_arr * nm, label=mf.name)\n", "plt.xscale('log')\n", "plt.ylim([1E9,8.5E9])\n", "plt.legend()\n", "plt.xlabel(r'$M/M_\\odot$', fontsize=14)\n", "plt.ylabel(r'$M\\,\\frac{dn}{d\\log_{10}M}\\,[M_\\odot\\,{\\rm Mpc}^{-3}]$',\n", " fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's explore the time evolution of the mass function" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Look at time evolution\n", "from matplotlib.pyplot import cm\n", "\n", "hmf_200m = ccl.halos.MassFuncTinker08(mass_def=hmd_200m)\n", "plt.figure()\n", "plt.title(r'$0" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hbfs = []\n", "# Sheth & Tormen 1999\n", "hbfs.append(ccl.halos.HaloBiasSheth99())\n", "\n", "# Sheth & Tormen 2001\n", "hbfs.append(ccl.halos.HaloBiasSheth01())\n", "\n", "# Bhattacharya 2011\n", "hbfs.append(ccl.halos.HaloBiasBhattacharya11())\n", "\n", "# Tinker 2010\n", "hbfs.append(ccl.halos.HaloBiasTinker10())\n", "\n", "# Let's plot all of them at z=0\n", "plt.figure()\n", "for bf in hbfs:\n", " bm = bf(cosmo, m_arr, 1.)\n", " plt.plot(m_arr, bm, label=bf.name)\n", "plt.xscale('log')\n", "plt.legend()\n", "plt.xlabel(r'$M/M_\\odot$', fontsize=14)\n", "plt.ylabel(r'$b_h(M)$', fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Concentration-mass relation\n", "Concentration-mass relations work in a similar way" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cmrs = []\n", "# Diemer 2015\n", "cmrs.append(ccl.halos.ConcentrationDiemer15())\n", "\n", "# Bhattacharya 2013\n", "cmrs.append(ccl.halos.ConcentrationBhattacharya13())\n", "\n", "# Prada 2012\n", "cmrs.append(ccl.halos.ConcentrationPrada12())\n", "\n", "# Klypin 2011\n", "cmrs.append(ccl.halos.ConcentrationKlypin11())\n", "\n", "# Duffy 2008\n", "cmrs.append(ccl.halos.ConcentrationDuffy08())\n", "\n", "# Let's plot all of them at z=0\n", "plt.figure()\n", "for cmr in cmrs:\n", " cm = cmr(cosmo, m_arr, 1.)\n", " plt.plot(m_arr, cm, label=cmr.name)\n", "plt.xscale('log')\n", "plt.legend()\n", "plt.xlabel(r'$M/M_\\odot$', fontsize=14)\n", "plt.ylabel(r'$c(M)$', fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Convenience functions\n", "It is possible to select mass functions, halo biases and concentration-mass relation from their name as follows" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n" ] } ], "source": [ "nm = ccl.halos.MassFunc.from_name('Tinker08')\n", "bm = ccl.halos.HaloBias.from_name('Tinker10')\n", "cm = ccl.halos.Concentration.from_name('Duffy08')\n", "print(nm)\n", "print(bm)\n", "print(cm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass conversion\n", "The lines below show how to convert between different mass definitions (and the consequences of doing so). First, we generate mass function objects for $\\Delta=200$ and $500$. Then, we compute the mass function using both parametrizations, but for masses defined using $\\Delta=200$ (the $\\Delta=500$ mass function will use the concentration-mass relation to translate masses from $\\Delta=200$ to $\\Delta=500$ automatically). As you can see, doing so incurrs a systematic error of up to ~20%." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's define a mass function object for Delta = 500 (matter)\n", "hmf_500m = ccl.halos.MassFuncTinker08(mass_def=hmd_500m)\n", "\n", "# Now let's compare the mass function parametrized for 200 (matter)\n", "# with the mass function parametrized for 500 (matter) but\n", "# translated to 200 (matter)\n", "hmf_200m = ccl.halos.MassFuncTinker08(mass_def=hmd_200m)\n", "\n", "mass_trans = ccl.halos.mass_translator(mass_in=hmd_200m, mass_out=hmd_500m, \n", " concentration=ccl.halos.ConcentrationDuffy08(mass_def=hmd_200m))\n", "\n", "m500 = mass_trans(cosmo, m_arr, 1.)\n", "\n", "nM_200m = hmf_200m(cosmo, m_arr, 1.)\n", "nM_200m_trans = hmf_500m(cosmo, m500, 1.)\n", "\n", "plt.figure()\n", "plt.plot(m_arr, nM_200m_trans/nM_200m-1)\n", "plt.xscale('log')\n", "plt.xlabel(r'$M/M_\\odot$',fontsize=14)\n", "plt.ylabel('Error from mass translation',\n", " fontsize=14);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 2 }