{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Profiles\n", "\n", "This notebook walks through how one can create density profiles which can, in turn, be used to compute either the $T_{\\rm kSZ}$ profile or the $\\Delta \\Sigma$ profile." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# preamble\n", "from __future__ import annotations\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pyccl as ccl\n", "from init_halo_model import ( # halo model\n", " a_arr,\n", " bM,\n", " cM_relation,\n", " cosmo,\n", " hmc,\n", " hmd,\n", " k_arr,\n", " r_arr,\n", ")\n", "\n", "import glasz\n", "\n", "# CMASS PARAMETERS\n", "z_lens = 0.55 # Mean z for CMASS\n", "a_sf = 1 / (1 + z_lens)\n", "\n", "# constituent fractions\n", "fb = cosmo[\"Omega_b\"] / cosmo[\"Omega_m\"] # Baryon fraction\n", "fc = cosmo[\"Omega_c\"] / cosmo[\"Omega_m\"] # CDM fraction\n", "\n", "# define 2-halo term\n", "xi_mm_2h = glasz.profiles.calc_xi_mm_2h(\n", " cosmo, hmd, cM_relation, hmc, k_arr, a_arr, r_arr, a_sf\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `glasz.profiles` subpackage is built on the `pyccl.halos` package. For this reason, there are several assumptions that go into arguments of these functions. The most important is that all profiles assume comoving units with no factors of $h$ in units. We can start by making the Generalized NFW (GNFW) profile which is what we use to describe the gas (baryon) density profile. The GNFW profile has the form \n", "\n", "$$\n", " \\rho_{\\rm GNFW}(r) = \\rho_0 \\left( \\frac{x}{x_{\\rm c}} \\right)^{-\\gamma} \\left( 1 + \\left(\\frac{x}{x_{\\rm c}} \\right)^{1/\\alpha} \\right)^{-(\\beta - \\gamma) \\alpha} \\; ,\n", "$$\n", "\n", "which has 5 parameters: the amplitude $\\rho_0$, inner power law slope $\\gamma$ ($x \\ll 1$), intermediate power law slope $\\alpha$ ($x \\sim 1$), and the outer power law slope $\\beta$ ($x \\gg 1$), and the core scale fraction $x_{\\rm c}$. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Halo Mass\n", "M_halo = 3e13\n", "\n", "# GNFW Parameters\n", "rho0 = 1.0\n", "alpha = 1.0\n", "beta = 3.0\n", "gamma = 0.2\n", "x_c = 0.5\n", "\n", "prof_GNFW = glasz.profiles.HaloProfileGNFW(\n", " hmd,\n", " rho0=rho0,\n", " alpha=alpha,\n", " beta=beta,\n", " gamma=gamma,\n", " x_c=x_c,\n", ")" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 1)\n", "ax.loglog(r_arr, prof_GNFW.real(cosmo, r_arr, M_halo, a_sf))\n", "ax.set_xlabel(\"$r$ [Mpc]\")\n", "ax.set_ylabel(r\"$\\rho_{\\rm GNFW}(r)$ [arbitrary units]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to make this profile physical, we can normalize it relative to an NFW profile such that at the baryon radius $r_{b}$ the mass enclosed within the GNFW profile is $f_{\\rm b} \\times M_{\\rm halo}$. In other words \n", "$$\n", " f_{\\rm b} = \\frac{\\int_0^{r_{\\rm b}} 4 \\pi r^2 dr \\; \\rho^{\\rm 1h}_{\\rm b}(r)}{\\int_0^{r_{\\rm b}} 4 \\pi r^2 dr \\; \\rho^{\\rm 1h}_{\\rm m}(r)} \\; .\n", "$$\n", "Using this condition, we solve for the baryon density amplitude $\\rho_0$ to get \n", "$$\n", " \\rho_0 = \\frac{\\int_0^{r_{\\rm b}} r^2 \\rho_{\\rm NFW}(r)}{\\int_0^{r_{\\rm b}} r^2 \\left( \\frac{x}{x_{\\rm c}} \\right)^{-\\gamma} \\left( 1 + \\left(\\frac{x}{x_{\\rm c}} \\right)^{1/\\alpha} \\right)^{-(\\beta - \\gamma) \\alpha}} \\; .\n", "$$\n", "This removes $\\rho_0$ as a free parameter in the model. We demonstrate how to do this below. For more details" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "Rb = 10 * (hmd.get_radius(cosmo, M_halo, a_sf) / a_sf)\n", "\n", "# COMPUTE GNFW AMPLITUDE\n", "prof_nfw = ccl.halos.HaloProfileNFW(\n", " mass_def=hmd, concentration=cM_relation, truncated=False, fourier_analytic=True\n", ")\n", "\n", "prof_baryons = glasz.profiles.HaloProfileGNFW(\n", " hmd,\n", " rho0=1.0,\n", " alpha=alpha,\n", " beta=beta,\n", " gamma=gamma,\n", " x_c=x_c,\n", ")\n", "\n", "prof_baryons.normalize(\n", " cosmo, Rb, M_halo, a_sf, prof_nfw\n", ") # normalize relative to NFW profile" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot this below." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 1)\n", "ax.loglog(\n", " r_arr,\n", " prof_nfw.real(cosmo, r_arr, M_halo, a_sf) * fc,\n", " label=\"Dark Matter\",\n", " color=\"blue\",\n", ") # CDM profile\n", "ax.loglog(\n", " r_arr,\n", " prof_baryons.real(cosmo, r_arr, M_halo, a_sf) * fb,\n", " label=\"Baryons\",\n", " color=\"red\",\n", ") # Baryon profile\n", "ax.set_xlabel(\"$r$ [Mpc]\")\n", "ax.set_ylabel(r\"$\\rho(r)$ [$M_\\odot$ Mpc$^{-3}$]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have the normalization of the GNFW profile to become the baryon (gas) profile. We can also throw in a 2-halo term for each. For more details on how this is done, see the 2-halo section of the documentation." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "# Amplitude of the 2-halo term\n", "A_2h = 1.0\n", "\n", "\n", "# Define the 2-halo term from ξ_mm^2h\n", "def rho_2h(r):\n", " return (\n", " xi_mm_2h(r)\n", " * bM(cosmo, M_halo, a_sf)\n", " * ccl.rho_x(cosmo, a_sf, \"matter\", is_comoving=True)\n", " * A_2h\n", " )\n", "\n", "\n", "prof_baryons.rho_2h = rho_2h # add 2-halo term to baryon profile" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this we can plot the baryon (gas) profile. This is what is probed by the $T_{\\rm kSZ}$ measurements." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 1)\n", "ax.loglog(\n", " r_arr, prof_baryons.real(cosmo, r_arr, M_halo, a_sf) * fb, color=\"red\"\n", ") # Baryon profile\n", "ax.loglog(\n", " r_arr,\n", " (prof_baryons.real(cosmo, r_arr, M_halo, a_sf) - rho_2h(r_arr)) * fb,\n", " ls=\"-.\",\n", " color=\"red\",\n", ") # 1-halo term\n", "ax.loglog(r_arr, rho_2h(r_arr) * fb, ls=\"--\", color=\"red\") # 2-halo term\n", "ax.set_xlabel(\"$r$ [Mpc]\")\n", "ax.set_ylabel(r\"$\\rho_{\\rm b}(r)$ [$M_\\odot$ Mpc$^{-3}$]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can finally combine everything to form the matter profile which is what is probed by $\\Delta \\Sigma$" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "prof_matter = glasz.profiles.MatterProfile(\n", " mass_def=hmd, concentration=cM_relation, rho_2h=rho_2h\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, we plot." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 1)\n", "ax.loglog(\n", " r_arr,\n", " prof_matter.real(cosmo, r_arr, M_halo, a_sf),\n", " color=\"black\",\n", " label=\"Total Matter\",\n", ")\n", "ax.loglog(\n", " r_arr,\n", " (prof_nfw.real(cosmo, r_arr, M_halo, a_sf) + rho_2h(r_arr)) * fc,\n", " color=\"blue\",\n", " label=\"Dark Matter\",\n", ")\n", "ax.loglog(\n", " r_arr,\n", " (prof_baryons.real(cosmo, r_arr, M_halo, a_sf)) * fb,\n", " color=\"red\",\n", " label=\"Baryons\",\n", ")\n", "ax.set_xlabel(\"$r$ [Mpc]\")\n", "ax.set_ylabel(r\"$\\rho(r)$ [$M_\\odot$ Mpc$^{-3}$]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GNFW Parameters as a Function of Mass\n", "\n", "In [Battaglia et al. 2016](https://arxiv.org/pdf/1607.02442), relationships were fit using hydro cosmological simulations to describe $\\alpha$, $\\beta$, and $\\rho_0$ as a function of halo mass and redshift. There are two prescriptions: \n", "\n", "* \"AGN\" - Simulations with AGN feedback (strong feedback)\n", "* \"SH\" - Simulations with Adiabatic Cooling (mild feedback)\n", "\n", "We have implemented these in `glasz.profiles` and they can be accessed via\n" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "profile_gas_AGN = glasz.profiles.HaloProfileGNFW(\n", " mass_def=hmd,\n", " feedback_model=\"AGN\",\n", " truncated=False,\n", ")\n", "\n", "profile_gas_SH = glasz.profiles.HaloProfileGNFW(\n", " mass_def=hmd,\n", " feedback_model=\"SH\",\n", " truncated=False,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot as a function of mass" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M_arr = np.geomspace(1e12, 1e15, 10)\n", "cmap = plt.cm.viridis\n", "colors = cmap(np.linspace(0, 1, len(M_arr)))\n", "\n", "f, axes = plt.subplots(2, 1, figsize=(6, 8), sharex=True)\n", "\n", "for i in range(len(M_arr)):\n", " axes[0].loglog(\n", " r_arr, profile_gas_AGN.real(cosmo, r_arr, M_arr[i], a_sf), color=colors[i]\n", " )\n", " axes[1].loglog(\n", " r_arr, profile_gas_SH.real(cosmo, r_arr, M_arr[i], a_sf), color=colors[i]\n", " )\n", "\n", "for ax in axes:\n", " ax.set_ylabel(r\"$\\rho_{\\rm gas}(r)$ [$M_\\odot$ Mpc$^{-3}$]\")\n", "\n", "norm_scaling = plt.cm.colors.Normalize(\n", " vmin=np.log10(M_arr[0]), vmax=np.log10(M_arr[-1])\n", ") # set the max and min y value for your cmap\n", "cbar = plt.colorbar(\n", " plt.cm.ScalarMappable(norm=norm_scaling, cmap=cmap), ax=axes\n", ") # create color bar object\n", "cbar.set_label(\n", " r\"$\\log_{10}(M_{\\rm halo})$\", rotation=270, labelpad=30, fontsize=18\n", ") # give cbar a label and rotate it\n", "\n", "axes[1].set_xlabel(\"$r$ [Mpc]\")\n", "axes[0].set_title(\"AGN Model\")\n", "axes[1].set_title(\"SH Model\")\n", "# ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z_arr = np.linspace(0, 2, 10)\n", "cmap = plt.cm.seismic\n", "colors = cmap(np.linspace(0, 1, len(z_arr)))\n", "\n", "f, axes = plt.subplots(2, 1, figsize=(6, 8), sharex=True)\n", "\n", "for i in range(len(M_arr)):\n", " axes[0].loglog(\n", " r_arr,\n", " profile_gas_AGN.real(cosmo, r_arr, M_halo, 1 / (1 + z_arr[i])),\n", " color=colors[i],\n", " )\n", " axes[1].loglog(\n", " r_arr,\n", " profile_gas_SH.real(cosmo, r_arr, M_halo, 1 / (1 + z_arr[i])),\n", " color=colors[i],\n", " )\n", "\n", "for ax in axes:\n", " ax.set_ylabel(r\"$\\rho_{\\rm gas}(r)$ [$M_\\odot$ Mpc$^{-3}$]\")\n", "\n", "norm_scaling = plt.cm.colors.Normalize(\n", " vmin=(z_arr[0]), vmax=(z_arr[-1])\n", ") # set the max and min y value for your cmap\n", "cbar = plt.colorbar(\n", " plt.cm.ScalarMappable(norm=norm_scaling, cmap=cmap), ax=axes\n", ") # create color bar object\n", "cbar.set_label(\n", " r\"redshift [$z$]\", rotation=270, labelpad=30, fontsize=18\n", ") # give cbar a label and rotate it\n", "\n", "axes[1].set_xlabel(\"$r$ [Mpc]\")\n", "axes[0].set_title(\"AGN Model\")\n", "axes[1].set_title(\"SH Model\")\n", "# ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "glasz_docs", "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": "3.11.11" } }, "nbformat": 4, "nbformat_minor": 2 }