{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Development of WDM modeling in hmf and halomod" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, I'll go through the implementation of the WDM in `hmf` and `halomod`, showing how things line up with stuff in literature." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transfer Function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We implement a general `TransferWDM` class, which should be general enough for any WDM transfer fitting function. At this stage, the only one implemented is `Viel05`, which has the form\n", "\n", "$$ T(k) = (1+(\\lambda^{fs}_{eff} k)^{2\\mu})^{-5/\\mu}, $$\n", "\n", "where $\\mu$ is a parameter of the fit with default $\\mu=1.12$, and the effective \"free-streaming\" scale is\n", "\n", "$$\\lambda^{fs}_{eff} = 0.045 m_x^{-1.11}\\left(\\frac{\\Omega_c}{0.25}\\right)^{0.11}\\left(\\frac{h}{0.7}\\right)^{1.22}\\left(\\frac{1.5}{g_X}\\right)^{0.29}, $$\n", "\n", "with $m_x$ the particle mass in keV and $g_X$ a parameter that we leave at 1.5 for now. The effective free-streaming scales introduces a corresponding free-streaming mass:\n", "\n", "$$ m_{fs} = \\frac{4\\pi}{3} \\left(\\frac{\\lambda_{eff}^{fs}}{2}\\right)^3 $$\n", "\n", "From this transfer function, we can define two \"half-mode\" scales (where the Transfer function is 1/2) -- a length and mass, as\n", "\n", "$$\\lambda_{hm} = 2\\pi \\lambda^{fs}_{eff} \\left(2^{\\mu/5}-1\\right)^{-0.5/\\mu} $$ \n", "\n", "and\n", "\n", "\\begin{equation} \n", " m_{hm} = \\frac{4\\pi}{3}\\bar{\\rho_0} \\left(\\frac{\\lambda_{\\rm hm}}{2}\\right)^3.\n", "\\end{equation}\n", "\n", "Note: all these equations were taken from Schneider et al. 2012.\n", "\n", "Let's define a WDM transfer function then:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T20:02:31.868967Z", "start_time": "2020-06-11T20:02:31.657315Z" }, "init_cell": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T20:02:32.368620Z", "start_time": "2020-06-11T20:02:31.886289Z" }, "init_cell": true }, "outputs": [], "source": [ "import contextlib\n", "\n", "import hmf\n", "from hmf import MassFunction # Full mass-function class in CDM\n", "from hmf.alternatives.wdm import (\n", " MassFunctionWDM, # Mass Function class in WDM (note all WDM variants just have appended WDM)\n", " TransferWDM, # Transfer-function class with WDM modifications\n", ")\n", "\n", "import halomod\n", "from halomod import HaloModel" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using halomod v2.2.2.dev9+gc49b3b6.d20240820 and hmf v3.5.0\n" ] } ], "source": [ "print(f\"Using halomod v{halomod.__version__} and hmf v{hmf.__version__}\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T21:44:09.862683Z", "start_time": "2020-06-10T21:44:09.845840Z" } }, "outputs": [], "source": [ "wdm_transfer = TransferWDM(\n", " transfer_params={\"extrapolate_with_eh\": True}\n", ") # Default Planck15 cosmology and m_x = 3keV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now print the values of the free-streaming and half-mode scales. The half-mode scale is where we expect the mass function to be first affected by the WDM." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T21:44:10.871788Z", "start_time": "2020-06-10T21:44:10.855643Z" } }, "outputs": [], "source": [ "wdm_transfer.update(wdm_mass=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This puts the half-mode mass at roughly $10^9 h^{-1}M_\\odot$. Compare these numbers to Schneider et al. 2012: .\n", "\n", "Now compare the linear matter power spectrum of WDM for a few test masses:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T18:05:59.037907Z", "start_time": "2020-06-10T18:05:46.120599Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cdm_mf = MassFunction(z=49, transfer_params={\"extrapolate_with_eh\": True})\n", "wdm_transfer.update(z=49)\n", "\n", "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\", \"xlim\": (0.03, 30)},\n", " figsize=(7, 5),\n", " gridspec_kw={\"height_ratios\": (2, 1), \"hspace\": 0.05},\n", ")\n", "\n", "ax[0].plot(cdm_mf.k, cdm_mf.delta_k, label=\"CDM\", lw=2, color=\"k\")\n", "ax[1].plot(cdm_mf.k, np.ones_like(cdm_mf.k), lw=2, color=\"k\")\n", "\n", "for i, mx in enumerate([0.25, 0.5, 1.0]):\n", " wdm_transfer.update(wdm_mass=mx)\n", " ax[0].plot(wdm_transfer.k, wdm_transfer.delta_k, label=f\"WDM ({mx} keV)\", lw=2, color=f\"C{i}\")\n", " ax[1].plot(wdm_transfer.k, wdm_transfer.delta_k / cdm_mf.delta_k, lw=2, color=f\"C{i}\")\n", " ax[0].axvline(2 * np.pi / wdm_transfer.wdm.lam_hm, color=f\"C{i}\", lw=2)\n", " ax[1].axvline(2 * np.pi / wdm_transfer.wdm.lam_hm, color=f\"C{i}\", lw=2)\n", "\n", "ax[1].set_xlabel(r\"$k$, [$h$/Mpc]\", fontsize=15)\n", "ax[0].set_ylim((5e-8, 0.06))\n", "\n", "ax[0].set_yscale(\"log\")\n", "ax[1].set_ylabel(r\"$P_{\\rm WDM}/P_{\\rm CDM}$\", fontsize=15)\n", "ax[0].set_ylabel(r\"$\\Delta^2(k)$\", fontsize=15)\n", "ax[0].legend(loc=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare this to the figure from Schneider: " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass Variance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next thing to calculate is the mass variance, defined as \n", "$$ \\sigma^2(R) = \\int k^2 P(k) W(kR)dk, $$\n", "where $W(kR)$ is a *window*/*filter* function in fourier space. \n", "\n", "Usually, people use the top-hat in real space, so that in Fourier-space,\n", "$$ W(y) = \\frac{3(\\sin y - y \\cos y)}{y^3}.$$\n", "\n", "With this definition, we get the following plot for $\\sigma(m)$, where in the top-hat window function,\n", "$$ m = \\frac{4\\pi}{3}\\bar{\\rho}R^3.$$\n", "\n", "The behaviour of the normal top-hat window function gives us problems when we consider the mass function. Following Schneider, define the logarithmically binned HMF as\n", "\n", "$$ \\frac{dn}{d\\ln m} = \\frac{1}{2}\\frac{\\bar{\\rho}}{m}f(\\nu)\\left|\\frac{d\\ln \\sigma^2}{d\\ln m}\\right|, $$\n", "\n", "where $\\nu = \\delta_c^2/\\sigma^2$. Then in the small-scale limit, when $R\\rightarrow0$, the asymptotic behaviour of the mass function is\n", "\n", "$$ \\lim_{R\\rightarrow 0}\\frac{dn}{d\\ln m} \\propto \\frac{1}{R^3} \\lim_{R\\rightarrow 0} \\frac{d \\ln \\sigma^2}{d \\ln m}. $$\n", "\n", "For the top-hat function, this goes to $R^{-1}$, and thus diverges. But this contradicts what we expect from WDM, which should not form haloes below $m_{fs}$. If we however use a filter which is a top-hat in $k$-space, we find that the limit becomes 0, which is what we expect. \n", "\n", "So below we plot the mass variance in both CDM and WDM using a top-hat in real and $k$-space." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T18:06:27.824976Z", "start_time": "2020-06-10T18:06:24.224689Z" }, "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/.venv/lib/python3.12/site-packages/hmf/density_field/transfer_models.py:233: UserWarning: 'extrapolate_with_eh' was not set. Defaulting to True, which is different behaviour than versions <=3.4.4. This warning may be removed in v4.0. Silence it by setting extrapolate_with_eh explicitly.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Unfortunately as it stands have to hack this\n", "with contextlib.suppress(KeyError):\n", " del cdm_mf.filter_params[\"c\"]\n", "\n", "wdm_mf = MassFunctionWDM(wdm_mass=3.3, Mmin=6, filter_model=\"TopHat\")\n", "cdm_mf.update(z=0, Mmin=6, filter_model=\"TopHat\")\n", "\n", "plt.plot(cdm_mf.m, cdm_mf.sigma, label=\"CDM Top-hat\", lw=2, color=\"b\")\n", "cdm_mf.update(filter_model=\"SharpK\", filter_params={\"c\": 2.5})\n", "plt.plot(cdm_mf.m, cdm_mf.sigma, label=r\"CDM Sharp-$k$\", lw=2, ls=\"--\", color=\"b\")\n", "\n", "plt.plot(wdm_mf.m, wdm_mf.sigma, label=\"WDM Top-hat (3.3keV)\", lw=2, color=\"r\")\n", "wdm_mf.update(filter_model=\"SharpK\", filter_params={\"c\": 2.5})\n", "plt.plot(wdm_mf.m, wdm_mf.sigma, label=r\"WDM Sharp-$k$ (3.3keV)\", lw=2, ls=\"--\", color=\"r\")\n", "\n", "plt.axvline(wdm_mf.wdm.m_hm, ls=\":\", lw=2, color=\"k\")\n", "plt.ylabel(r\"Mass Variance, $\\sigma(m,z=0)$\", fontsize=15)\n", "plt.xlabel(r\"$M, [M_\\odot h^{-1}]$\", fontsize=15)\n", "plt.legend(loc=0)\n", "plt.xscale(\"log\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that in the WDM case, the mass variance asymptotes to a constant at low mass, because the integral is truncated. Compare to Benson+12: .\n", "\n", "Note the differences probably arise due to different cosmology and particle mass. \n", "\n", "See also Bose+15: \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mass Function with Sharp-K" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have \n", "\n", "$$ \\frac{dW}{d \\log y} = -y \\delta^D(1-y), $$\n", "\n", "where $\\delta^D$ is the dirac delta function. Then we can solve the last factor of the mass function as\n", "\n", "$$ \\frac{d \\ln \\sigma^2}{d \\ln R} -\\frac{1}{2\\pi^2 \\sigma^2}\\frac{P(1/R)}{R}, $$\n", "\n", "so that\n", "\n", "$$ \\frac{dn}{d\\ln m} = -\\frac{1}{2} \\frac{\\bar{\\rho}}{m} f(\\nu) \\frac{d\\ln \\sigma^2}{d \\ln R}\\frac{d \\ln R}{d \\ln M}, $$\n", "\n", "where the last factor is 3 if we assume that $m \\propto R^3$ (which we do). In this case, however, there is still no clear way to assign mass to the filter scale, and so we adopt a parameterisation\n", "\n", "$$ m = \\frac{4\\pi}{3}\\bar{\\rho} [c R]^3 $$\n", "\n", "where we are free to choose $c$ so as to best-fit our data. Schneider+12 chooses a value of $c=2.7$, whereas Benson chooses $c=2.5$, along with Bose+15 and Schneider+14, and Lacey and Cole choose $c=2.42$. We leave this parameter to be set by the user, with default $c=2.5$.\n", "\n", "Schneider et al. also found that the parameter $q$ in the usual ST functional form was no longer necessary, due to the arbitrary $c$. We leave this to be optional in the base code, but set it everywhere here. We could conversely choose to leave $q$ as 0.707 and use a re-mapping of the barrier crossing parameter $\\delta_c$ as in Benson+12.\n", "\n", "Note that one can make ellipsoidal corrections as well, but we don't do that, on advice from Aurel Schneider himself.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T18:11:21.356890Z", "start_time": "2020-06-10T18:10:57.211582Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create/update correct instances\n", "cdm_mf_th = MassFunction(hmf_model=\"SMT\", Mmin=6.0, z=0) # ,fsig_params={\"a\":1}\n", "cdm_mf.update(\n", " hmf_model=\"SMT\",\n", " Mmin=6.0,\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"SharpK\",\n", " filter_params={\"c\": 2.5},\n", ")\n", "wdm_mf_th = MassFunctionWDM(hmf_model=\"SMT\", Mmin=6.0, z=0) # ,fsig_params={\"a\":1}\n", "wdm_mf.update(\n", " hmf_model=\"SMT\", hmf_params={\"a\": 1}, Mmin=6.0, filter_model=\"SharpK\", filter_params={\"c\": 2.5}\n", ")\n", "\n", "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\", \"xlim\": (5e8, 5e14), \"yscale\": \"log\"},\n", " gridspec_kw={\"height_ratios\": [2.5, 1]},\n", " figsize=(7, 5),\n", ")\n", "ax[0].plot(cdm_mf.m, cdm_mf.dndlnm, label=\"CDM\", lw=2)\n", "ax[1].plot(cdm_mf.m, np.ones_like(cdm_mf.m), lw=2)\n", "ax[0].plot(cdm_mf_th.m, cdm_mf.dndlnm, ls=\"--\", color=\"b\", lw=2)\n", "ax[1].plot(cdm_mf_th.m, cdm_mf_th.dndlnm / cdm_mf.dndlnm, ls=\"--\", color=\"b\", lw=2)\n", "cols = [\"g\", \"r\", \"c\"]\n", "for j, mx in enumerate([0.25, 0.5, 1.0]):\n", " for i, fil in enumerate([wdm_mf, wdm_mf_th]):\n", " label = None\n", " if i == 0:\n", " label = f\"WDM ({mx}keV)\"\n", " ls = [\"-\", \"--\"][i]\n", "\n", " fil.update(wdm_mass=mx)\n", "\n", " ax[0].plot(fil.m, fil.dndlnm, ls=ls, color=cols[j], label=label, lw=2)\n", " ax[1].plot(fil.m, fil.dndlnm / cdm_mf.dndlnm, ls=ls, color=cols[j], lw=2)\n", " ax[0].axvline(wdm_mf.wdm.m_hm, color=cols[j], lw=2)\n", " ax[1].axvline(wdm_mf.wdm.m_hm, color=cols[j], lw=2)\n", "\n", "ax[1].set_xlabel(r\"$M$, $[M_\\odot h^{-1}]$\", fontsize=15)\n", "ax[0].set_ylim((2e-6, 3))\n", "ax[1].set_ylabel(r\"$n_{\\rm WDM}/n_{\\rm CDM}$\", fontsize=15)\n", "ax[0].set_ylabel(r\"$dn/d \\ln m$, [${\\rm Mpc}^3h^{-3}$]\", fontsize=15)\n", "ax[1].set_ylim((0.009, 2.0))\n", "plt.subplots_adjust(hspace=0.05)\n", "ax[0].legend(loc=0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that in this plot, the top-hat curves (dashed) have $q=0.707$, while the sharp-$k$ curves (solid) have $q=1$. This gives an excellent fit at high mass, and correct behaviour at low mass. \n", "\n", "And compare this to Schneider 2013 (HMF and the Free-Streaming Scale): \n", "\n", "Note that there are other methods of fitting the mass function empirically, which are implemented but we don't use them here. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Halo Profile" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Schneider+12 find no significant difference between profiles in WDM and CDM, and so remain with the NFW profile. In Bose+15 they try both the NFW and Einasto profiles, and conclude that the Einasto fits slightly better. Given the better resolution of the Bose+15 results, we would use them, but they only give a ratio of c_WDM/c_CDM without giving explicitly either c_CDM or c_WDM. Thus as a first dig we use the rescaling method of Bose+15, but with a c_CDM from Duffy, and just the NFW profile.\n", "\n", "We can't use the Einasto profile because the concentration definition is different (though the ratio should be pretty similar I would expect...). \n", "\n", "So, anyway, $c(m)$ in Duffy was\n", "\n", "$$c(m,z) = \\frac{6.71}{(1+z)^{0.44}} \\left(\\frac{M_\\star}{m}\\right)^{0.091}, $$\n", "\n", "where $\\delta_c^2/\\sigma^2(M_\\star) = 1$. Then the rescaling goes like\n", "\n", "$$ \\frac{c_{WDM}}{c_{CDM}} = \\left(1+\\gamma_1 \\frac{m_{hm}}{m}\\right)^{-\\gamma_2} \\times (1+z)^{\\beta_0 z - \\beta_1}, $$\n", "\n", "with $\\gamma_1=60$, $\\gamma_2 = 0.17$, $\\beta_0 = 0.026$ and $\\beta_1 = 0.04$. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T20:02:32.752585Z", "start_time": "2020-06-11T20:02:32.370494Z" }, "init_cell": true }, "outputs": [], "source": [ "from halomod import DMHaloModel\n", "from halomod.wdm import HaloModelWDM, TracerHaloModelWDM\n", "\n", "wdm = HaloModelWDM(\n", " hmf_model=\"SMT\",\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"SharpK\",\n", " filter_params={\"c\": 2.5},\n", " halo_concentration_model=\"Duffy08WDM\",\n", " wdm_mass=3.3,\n", " Mmin=7.0,\n", " mdef_model=\"SOVirial\",\n", ")\n", "cdm = DMHaloModel(\n", " hmf_model=\"SMT\",\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"SharpK\",\n", " filter_params={\"c\": 2.5},\n", " halo_concentration_model=\"Duffy08\",\n", " Mmin=7.0,\n", " mdef_model=\"SOVirial\",\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T18:11:56.069205Z", "start_time": "2020-06-10T18:11:33.914426Z" } }, "outputs": [ { "data": { "text/plain": [ "(200000000.0, 10000000000000.0)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\", \"xlim\": (3e7, 3e14)},\n", " gridspec_kw={\"height_ratios\": [2.5, 1], \"hspace\": 0.05},\n", " figsize=(7, 5),\n", ")\n", "\n", "ax[1].plot(cdm.m, np.ones_like(cdm.m), color=\"k\", lw=2)\n", "\n", "wdm.update(wdm_mass=3.3)\n", "\n", "for i, z in enumerate([0, 0.5, 1.0, 2.0, 3.0, 4.0]):\n", " wdm.update(z=z)\n", " cdm.update(z=z)\n", "\n", " ax[0].plot(cdm.m, cdm.cmz_relation, label=\"CDM\", color=f\"C{i}\", ls=\"--\", lw=2)\n", "\n", " ax[0].plot(wdm.m, wdm.cmz_relation, label=f\"WDM z={z}\", color=f\"C{i}\", lw=2)\n", " ax[1].plot(wdm.m, wdm.cmz_relation / cdm.cmz_relation, color=f\"C{i}\", lw=2)\n", " ax[0].axvline(wdm.wdm.m_hm, color=f\"C{i}\", lw=2)\n", " ax[1].axvline(wdm.wdm.m_hm, color=f\"C{i}\", lw=2)\n", "ax[1].set_xlabel(r\"$M$, $[M_\\odot h^{-1}]$\", fontsize=15)\n", "ax[0].set_ylabel(r\"$\\bar{c}(m,z)$\", fontsize=15)\n", "ax[1].set_ylabel(r\"$c/c_{\\rm CDM}$\", fontsize=15)\n", "ax[0].legend(loc=0)\n", "ax[1].set_ylim((0.1, 1.05))\n", "ax[0].set_ylim((3, 14))\n", "ax[0].set_xlim((2e8, 1e13))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare this to Bose+15: \n", "\n", "They won't be exactly the same because almost certainly the CDM $c(m)$ relation is slightly different. \n", "\n", "Alternatively, we can use the form from Ludlow+16, which is explored better in the ludlow_concentration_tests notebook. We merely re-form the plot here to put in the paper. This is with an Einasto profile." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T20:02:59.299122Z", "start_time": "2020-06-11T20:02:32.754216Z" }, "init_cell": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/.venv/lib/python3.12/site-packages/hmf/mass_function/hmf.py:299: UserWarning: Your input mass definition 'SOCritical(200)' does not match the mass definition in which the hmf fit SMT was measured:'SOVirial'. The mass function will be converted to your input definition, but note that some properties do not survive the conversion, eg. the integral of the hmf over mass yielding the total mean density.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wdm = HaloModelWDM(\n", " hmf_model=\"SMT\",\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"TopHat\",\n", " mdef_model=\"SOCritical\",\n", " halo_concentration_model=\"Ludlow16\",\n", " halo_profile_model=\"Einasto\",\n", " wdm_mass=3.3,\n", " Mmin=7.0,\n", " disable_mass_conversion=False,\n", ")\n", "cdm = DMHaloModel(\n", " hmf_model=\"SMT\",\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"TopHat\",\n", " halo_concentration_model=\"Ludlow16\",\n", " halo_profile_model=\"Einasto\",\n", " Mmin=7.0,\n", " mdef_model=\"SOCritical\",\n", " disable_mass_conversion=False,\n", ")\n", "\n", "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\", \"xlim\": (3e7, 3e14)},\n", " gridspec_kw={\"height_ratios\": [2.5, 1], \"hspace\": 0.05},\n", " figsize=(7, 5),\n", ")\n", "\n", "wdm.update(wdm_mass=3.3)\n", "\n", "for i, z in enumerate([0, 0.5, 1.0, 2.0, 3.0, 4.0]):\n", " wdm.update(z=z)\n", " cdm.update(z=z)\n", "\n", " ax[0].plot(cdm.m, cdm.cmz_relation, label=\"CDM\", color=f\"C{i}\", ls=\"--\", lw=2)\n", "\n", " ax[0].plot(wdm.m, wdm.cmz_relation, label=f\"WDM z={z}\", color=f\"C{i}\", lw=2)\n", " ax[1].plot(wdm.m, wdm.cmz_relation / cdm.cmz_relation, color=f\"C{i}\", lw=2)\n", " ax[0].axvline(wdm.wdm.m_hm, color=f\"C{i}\", lw=2)\n", " ax[1].axvline(wdm.wdm.m_hm, color=f\"C{i}\", lw=2)\n", "ax[1].set_xlabel(r\"$M$, $[M_\\odot h^{-1}]$\", fontsize=15)\n", "ax[0].set_ylabel(r\"$\\bar{c}(m,z)$\", fontsize=15)\n", "ax[1].set_ylabel(r\"$c/c_{\\rm CDM}$\", fontsize=15)\n", "ax[0].legend(loc=0)\n", "ax[1].set_ylim((0.1, 1.05))\n", "ax[0].set_ylim((3, 14))\n", "ax[0].set_xlim((2e8, 1e13));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Framework" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Here we assume that the normal framework for $P_{1h}(k)$ and $P_{2h}(k)$ are known in CDM. Then, as the formulation of Schneider goes, we introduce a smooth component of mass which does not exist inside halos, at scales below the free-streaming length. Then the total power is\n", "\n", "$$ P(k) = (1-f)^2 P_{ss}(k) + 2(1-f)f P_{sh}(k) + f^2 P_{hh}(k),$$\n", "\n", "where $f$ is the fraction of mass in halos:\n", "\n", "$$ f = \\frac{1}{\\bar{\\rho}} \\int m n(m) dm, $$\n", "\n", "We have $P_{hh}(k) = P_{1h}(k) + P_{2h}(k)$ as usual.\n", "\n", "Also, the halo-smooth power is basically the same as the two-halo term, but not squared. In detail, this is\n", "\n", "$$ P_{sh}(k) = \\frac{1}{\\bar{\\rho}_h} \\int dm n(m) m u(k|m) P^c_{hs}(k|m), $$\n", "\n", "where $P^c_{hs}(k|m)$ is the power spectrum of halo centres with respect to the smooth field. This reduces to \n", "\n", "$$ P^c_{sh}(k|m) \\sim b_s b(m) P_{lin}(k). $$\n", "\n", "Note that there should be some exclusion modelling here as well, but it clearly differs from halo-halo exclusion. We follow Schneider for now and leave that out, but it should be done in the future.\n", "\n", "And finally the smooth-smooth power is merely\n", "\n", "$$ P_{ss} = b_s^2 P_{lin}(k). $$\n", "\n", "\n", "We have $b_s$ defined by\n", "\n", "$$ b_s = \\frac{1-fb_{eff}}{1-f}, $$\n", "\n", "where $b_{eff}$ is the effective large-scale halo bias,\n", "\n", "$$ b_{eff} = \\frac{1}{\\bar{\\rho}} \\int m n(m) b(m) dm. $$ \n", "\n", "The smooth bias is always less than 1, so is technically an antibias." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T20:05:15.422685Z", "start_time": "2020-06-11T20:05:15.397628Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/.venv/lib/python3.12/site-packages/hmf/mass_function/hmf.py:299: UserWarning: Your input mass definition 'FoF(l=0.2)' does not match the mass definition in which the hmf fit SMT was measured:'SOVirial'. The mass function will be converted to your input definition, but note that some properties do not survive the conversion, eg. the integral of the hmf over mass yielding the total mean density.\n", " warnings.warn(\n" ] } ], "source": [ "cdm.update(\n", " exclusion_model=None,\n", " hc_spectrum=\"linear\",\n", " sd_bias_model=None,\n", " takahashi=False,\n", " Mmin=2,\n", " halo_profile_model=\"NFW\",\n", " halo_concentration_model=\"Bullock01Power\",\n", " hmf_params={\"a\": 0.707},\n", " mdef_model=\"FOF\",\n", " z=0,\n", " hmf_model=\"SMT\",\n", ")\n", "\n", "wdm.update(\n", " exclusion_model=None,\n", " hc_spectrum=\"linear\",\n", " sd_bias_model=None,\n", " takahashi=False,\n", " Mmin=2,\n", " halo_profile_model=\"NFW\",\n", " halo_concentration_model=\"Bullock01Power\",\n", " hmf_params={\"a\": 0.707},\n", " mdef_model=\"FOF\",\n", " z=0,\n", " hmf_model=\"SMT\",\n", " wdm_mass=3,\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T19:56:31.527598Z", "start_time": "2020-06-11T19:56:30.653599Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/src/halomod/halo_model.py:384: UserWarning: Requested mass definition 'FoF(l=0.2)' is not in native definitions for the 'Bullock01Power' CMRelation. No mass conversion will be performed, so results will be wrong. Using 'FoF(l=0.2)'.\n", " return self.halo_concentration_model(\n", "/home/sgm/work/halos/halomod/src/halomod/halo_model.py:830: UserWarning: You are using an un-normalized mass function and bias function pair.Bias Tinker10 has the following paired HMF model: (). Matter correlations are not well-defined.\n", " tools.norm_warn(self)\n" ] }, { "data": { "text/plain": [ "(0.6, 40000.0)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 5))\n", "plt.plot(cdm.k_hm, cdm.power_auto_matter, label=r\"$P_{mm}$\")\n", "plt.plot(cdm.k, cdm.power, label=r\"$P_{\\rm lin}$\")\n", "plt.plot(cdm.k, cdm.nonlinear_power, label=r\"$P_{hf}$\")\n", "plt.plot(cdm.k_hm, cdm.power_1h_auto_matter, ls=\"--\", label=r\"$P_{mm}^{1h}$\")\n", "plt.plot(cdm.k_hm, cdm.power_2h_auto_matter, ls=\"--\", label=r\"$P_{mm}^{2h}$\")\n", "\n", "plt.legend(loc=0)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlim((0.03, 30.0))\n", "plt.ylim((6e-1, 4e4))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T22:24:32.244678Z", "start_time": "2020-06-10T22:24:28.392284Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.6, 40000.0)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 5))\n", "plt.plot(cdm.k_hm, cdm.power_auto_matter, label=r\"$P_{mm}$\")\n", "plt.plot(cdm.k, cdm.power, label=r\"$P_{\\rm lin}$\")\n", "plt.plot(cdm.k_hm, wdm.power_auto_matter, label=r\"$P_{mm} WDM$\")\n", "\n", "\n", "plt.legend(loc=0)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlim((0.03, 30.0))\n", "plt.ylim((6e-1, 4e4))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-06-11T20:05:22.814200Z", "start_time": "2020-06-11T20:05:21.670316Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.6, 40000.0)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(cdm.k_hm, (1 - wdm.f_halos) ** 2 * wdm.power_auto_matter_ss, label=r\"$P_{ss}$\")\n", "plt.plot(\n", " cdm.k_hm, 2 * (1 - wdm.f_halos) * wdm.f_halos * wdm.power_auto_matter_sh, label=r\"$P_{sh}$\"\n", ")\n", "plt.plot(cdm.k_hm, wdm.f_halos**2 * wdm.power_auto_matter_hh, label=r\"$P_{hh}$\")\n", "plt.plot(cdm.k_hm, wdm.power_auto_matter, label=r\"$P_{full} WDM$\")\n", "plt.plot(cdm.k, wdm.power, label=r\"$P_{lin} WDM$\")\n", "# plot(cdm.k, wdm._power_halo_centres, label=r'P_{hc}')\n", "\n", "plt.legend(loc=0)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.ylim((6e-1, 4e4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For Galaxies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For galaxies, there is no smooth component. We still expect the galaxies to physically form in haloes. The total galaxy density is just defined by the lower limit $M_{min}$ still. So, really, we can bypass the whole framework infrastructure of the dark matter. Also, we really just want to work with the correlation function, which is what we actually measure with galaxy surveys.\n", "\n", "We first plot the pure CDM case, with parameters from Beutler+13" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2016-08-10T17:28:44.723488", "start_time": "2016-08-10T17:28:44.718129" } }, "outputs": [], "source": [ "cdm = HaloModel(\n", " sd_bias_model=\"TinkerSD05\",\n", " takahashi=True,\n", " hmf_model=\"SMT\",\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"SharpK\",\n", " filter_params={\"c\": 2.5},\n", " halo_concentration_model=\"Duffy08\",\n", " hod_model=\"Zehavi05\",\n", " hod_params={\"alpha\": 1.214, \"M_1\": 13.396, \"M_min\": 12.0478},\n", " hc_spectrum=\"nonlinear\",\n", ")\n", "\n", "wdm = TracerHaloModelWDM(\n", " sd_bias_model=\"TinkerSD05\",\n", " takahashi=True,\n", " hmf_model=\"SMT\",\n", " z=0,\n", " hmf_params={\"a\": 1},\n", " filter_model=\"SharpK\",\n", " filter_params={\"c\": 2.5},\n", " halo_concentration_model=\"Duffy08\",\n", " hod_model=\"Zehavi05\",\n", " hod_params={\"alpha\": 1.214, \"M_1\": 13.396, \"M_min\": 12.0478},\n", " hc_spectrum=\"nonlinear\",\n", " wdm_mass=0.1,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have nothing to explicitly compare to in the case of WDM, but we can check that it does the right kind of thing:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2016-08-10T17:29:01.283361", "start_time": "2016-08-10T17:28:58.793761" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/.venv/lib/python3.12/site-packages/hmf/_internals/_cache.py:114: UserWarning: Using halofit for tracer stats is only valid up to quasi-linear scales k<~1 (h/Mpc).\n", " value = f(self)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wdm.update(wdm_mass=1000.0)\n", "\n", "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\"},\n", " gridspec_kw={\"height_ratios\": [2.5, 1], \"hspace\": 0.05},\n", " figsize=(7, 7),\n", ")\n", "\n", "ax[0].plot(cdm.r, cdm.corr_auto_tracer, label=\"CDM\", color=\"b\")\n", "ax[1].plot(cdm.r, np.ones_like(cdm.r), color=\"b\")\n", "\n", "ax[0].plot(wdm.r, wdm.corr_auto_tracer, label=\"WDM (1000 keV)\", color=\"g\")\n", "ax[1].plot(wdm.r, wdm.corr_auto_tracer / cdm.corr_auto_tracer, color=\"g\")\n", "\n", "ax[1].set_xlabel(r\"$r [Mpc/h]$\")\n", "ax[0].set_ylabel(r\"$\\xi(r)$\")\n", "ax[1].set_ylabel(r\"$\\xi(r)/\\xi_{CDM}(r)$\")\n", "ax[0].legend(loc=0)\n", "ax[0].set_yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We really should not see much of a difference unless $m_{hm} > M_{min}$, so let's use $m_{hm} = 10^{10}$, just below the $M_{min}$ we have set here. This corresponds roughly to $m_x = 1.0$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2016-08-10T17:29:22.308990", "start_time": "2016-08-10T17:29:21.631312" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/.venv/lib/python3.12/site-packages/hmf/_internals/_cache.py:96: UserWarning: Using halofit for tracer stats is only valid up to quasi-linear scales k<~1 (h/Mpc).\n", " value = f(self)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wdm.update(wdm_mass=1.0, Mmin=9)\n", "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\"},\n", " gridspec_kw={\"height_ratios\": [2.5, 1], \"hspace\": 0.05},\n", " figsize=(7, 7),\n", ")\n", "\n", "ax[0].plot(cdm.r, cdm.corr_auto_tracer, label=\"CDM\", color=\"b\")\n", "ax[1].plot(cdm.r, np.ones_like(cdm.r), color=\"b\")\n", "\n", "ax[0].plot(wdm.r, wdm.corr_auto_tracer, label=\"WDM (1 keV)\", color=\"g\")\n", "ax[1].plot(wdm.r, wdm.corr_auto_tracer / cdm.corr_auto_tracer, color=\"g\")\n", "\n", "ax[1].set_xlabel(r\"$r [Mpc/h]$\")\n", "ax[0].set_ylabel(r\"$\\xi(r)$\")\n", "ax[1].set_ylabel(r\"$\\xi(r)/\\xi_{CDM}(r)$\")\n", "ax[0].legend(loc=0)\n", "ax[0].set_yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that there's only a ~1% shift, with a very similar shape to before. If we decrease the particle mass more however:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2016-08-10T17:29:49.721358", "start_time": "2016-08-10T17:29:49.052441" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/sgm/work/halos/halomod/.venv/lib/python3.12/site-packages/hmf/mass_function/hmf.py:396: UserWarning: Nonlinear mass outside mass range\n", " warnings.warn(\"Nonlinear mass outside mass range\")\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wdm.update(wdm_mass=0.1)\n", "fig, ax = plt.subplots(\n", " 2,\n", " 1,\n", " sharex=True,\n", " subplot_kw={\"xscale\": \"log\"},\n", " gridspec_kw={\"height_ratios\": [2.5, 1], \"hspace\": 0.05},\n", " figsize=(7, 7),\n", ")\n", "\n", "ax[0].plot(cdm.r, cdm.corr_auto_tracer, label=\"CDM\", color=\"b\")\n", "ax[1].plot(cdm.r, np.ones_like(cdm.r), color=\"b\")\n", "\n", "ax[0].plot(wdm.r, wdm.corr_auto_tracer, label=\"WDM (0.1 keV)\", color=\"g\")\n", "ax[1].plot(wdm.r, wdm.corr_auto_tracer / cdm.corr_auto_tracer, color=\"g\")\n", "\n", "ax[1].set_xlabel(r\"$r [Mpc/h]$\")\n", "ax[0].set_ylabel(r\"$\\xi(r)$\")\n", "ax[1].set_ylabel(r\"$\\xi(r)/\\xi_{CDM}(r)$\")\n", "ax[0].legend(loc=0)\n", "ax[0].set_yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bias in the 1-halo term bias rises indefinitely, while the two-halo term bias rises slower, so a sharper transition is seen. The two-halo term should only ever really see a quasi-linear bias, especially on large scales, and in reality, this will be a single parameter that can be affected by all HOD+WDM parameters.\n", "\n", "The intermediate scales are dominated by modelling of the halo exclusion, but we can be confident that this sharp transition should always arise.\n", "\n", "The small scale shape can be changed through $\\rho(r|m)$ and $\\lambda(r|m)$, while the biasing is affected by $n(m)$ and the HOD.\n", "\n", "But why does the bias increase with decreasing particle mass? Let's look at really large scales first, where $u(k|m) \\rightarrow 1$. Here, we have $\\xi_{gg}(r) = b_{eff}^2 \\xi_{m}(r)$, where\n", "\n", "$$ b_{eff} = \\frac{1}{\\bar{n}_g}\\int_{m_{min}} n(m) b(m) N_t(m) dm. $$\n", "\n", "and\n", "\n", "$$ \\bar{n}_g = \\int_{m_{min}} n(m) N_t(m) dm. $$\n", "\n", "It would seem that what is happening is that as $m_{hm}$ increases, so that $n(m)$ has higher cut-off, we are more highly weighting the higher masses in the integral, which have higher bias.\n", "\n", "So what about the 1-halo term? Find out in a dedicated notebook coming soon..." ] } ], "metadata": { "celltoolbar": "Initialization Cell", "kernelspec": { "display_name": ".venv", "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": "3.12.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "nav_menu": {}, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "237.533px" }, "toc_section_display": "block", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 1 }