{ "cells": [ { "cell_type": "markdown", "id": "d5ae1f82", "metadata": {}, "source": [ "# Tutorial 2: The matter power spectrum, from inflation to today\n", "\n", "The linear matter power spectrum is assembled in Galacticus exactly as in\n", "the textbooks:\n", "\n", "$$P(k, t) \\;=\\; P_\\mathrm{primordial}(k)\\; T^2(k)\\; D^2(t),$$\n", "\n", "with each factor an interchangeable `functionClass`: a primordial spectrum\n", "(power law with optional running), a transfer function (analytic\n", "Eisenstein & Hu, tabulated CAMB/CLASS, warm/fuzzy dark matter variants…),\n", "and the linear growth factor. On top of these sits the filtered variance\n", "$\\sigma(M)$, whose normalization *is* the familiar $\\sigma_8$.\n", "\n", "This tutorial builds the full chain, then swaps in thermal warm dark\n", "matter (WDM) to see free-streaming erase small-scale structure." ] }, { "cell_type": "code", "execution_count": 1, "id": "c128e14f", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:54.826667Z", "iopub.status.busy": "2026-07-05T19:39:54.826464Z", "iopub.status.idle": "2026-07-05T19:39:55.008380Z", "shell.execute_reply": "2026-07-05T19:39:55.008126Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Galacticus library interface loaded.\n" ] } ], "source": [ "import os, sys\n", "\n", "# Locate the Galacticus library interface. Two supported layouts:\n", "# * a Galacticus source tree built with\n", "# make GALACTICUS_BUILD_OPTION=lib libgalacticus.so\n", "# (galacticus.py at the tree root, the library under galacticus/lib/);\n", "# * an unpacked binary distribution (the `galacticus/` folder from\n", "# libgalacticus.tar.bz2, with python/ and lib/ inside it).\n", "# Set GALACTICUS_LIBRARY_PATH to the directory CONTAINING the `galacticus/`\n", "# folder if the auto-detection below does not fit your setup.\n", "root = os.environ.get('GALACTICUS_LIBRARY_PATH',\n", " os.path.abspath(os.path.join(os.getcwd(), os.pardir)))\n", "os.chdir(root) # galacticus.py loads galacticus/lib/libgalacticus.so relative to here\n", "for candidate in (root, os.path.join(root, 'galacticus', 'python')):\n", " if os.path.exists(os.path.join(candidate, 'galacticus.py')):\n", " sys.path.insert(0, candidate)\n", " break\n", "else:\n", " raise RuntimeError(f\"galacticus.py not found under {root} - build the library \"\n", " \"(make GALACTICUS_BUILD_OPTION=lib libgalacticus.so) or set \"\n", " \"GALACTICUS_LIBRARY_PATH\")\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import galacticus\n", "print(\"Galacticus library interface loaded.\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "3e9e8a1a", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:55.011420Z", "iopub.status.busy": "2026-07-05T19:39:55.011291Z", "iopub.status.idle": "2026-07-05T19:39:55.013495Z", "shell.execute_reply": "2026-07-05T19:39:55.013052Z" } }, "outputs": [], "source": [ "plt.rcParams.update({'figure.figsize': (7.0, 4.5), 'font.size': 11,\n", " 'axes.grid': True, 'grid.alpha': 0.3})" ] }, { "cell_type": "markdown", "id": "180aadeb", "metadata": {}, "source": [ "## The object graph\n", "\n", "Note the pattern: each object receives the objects it depends on. This is\n", "the same dependency graph Galacticus builds internally from a parameter\n", "file when it runs a full model." ] }, { "cell_type": "code", "execution_count": 3, "id": "759d25f3", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:55.014329Z", "iopub.status.busy": "2026-07-05T19:39:55.014064Z", "iopub.status.idle": "2026-07-05T19:39:55.018704Z", "shell.execute_reply": "2026-07-05T19:39:55.018347Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "T(k=1 Mpc^-1) = 2.4915e-03\n", "D(z=0) = 1.000 (normalized to unity today)\n" ] } ], "source": [ "cosmologyParameters = galacticus.cosmologyParametersSimple(0.3, 0.045, 0.7, 2.78, 70.0)\n", "cosmologyFunctions = galacticus.cosmologyFunctionsMatterLambda(cosmologyParameters)\n", "darkMatterParticle = galacticus.darkMatterParticleCDM()\n", "\n", "# Analytic CDM transfer function (Eisenstein & Hu 1999), with N_eff=3.046\n", "# effective neutrino species of zero mass.\n", "transferFunction = galacticus.transferFunctionEisensteinHu1999(\n", " 3.046, 0.0, darkMatterParticle, cosmologyParameters, cosmologyFunctions)\n", "\n", "linearGrowth = galacticus.linearGrowthCollisionlessMatter(cosmologyParameters, cosmologyFunctions)\n", "\n", "# Primordial power spectrum: P(k) ~ k^0.965, no running; the reference\n", "# wavenumber (1 Mpc^-1) anchors the running terms.\n", "powerSpectrumPrimordial = galacticus.powerSpectrumPrimordialPowerLaw(0.965, 0.0, 0.0, 1.0, False)\n", "\n", "# Combine primordial + transfer + growth.\n", "powerSpectrum = galacticus.powerSpectrumPrimordialTransferredSimple(\n", " powerSpectrumPrimordial, transferFunction, linearGrowth)\n", "\n", "ageToday = cosmologyFunctions.cosmicTime(1.0)\n", "print(f\"T(k=1 Mpc^-1) = {transferFunction.value(1.0):.4e}\")\n", "print(f\"D(z=0) = {linearGrowth.value(time=ageToday):.3f} (normalized to unity today)\")" ] }, { "cell_type": "markdown", "id": "721474d4", "metadata": {}, "source": [ "## $\\sigma(M)$ and the $\\sigma_8$ normalization\n", "\n", "`cosmologicalMassVarianceFilteredPower` integrates $P(k)$ under a top-hat\n", "window to give the root-variance of the density field smoothed on mass\n", "scale $M$ — and *sets the overall normalization* of the power spectrum from\n", "the $\\sigma_8$ you request." ] }, { "cell_type": "code", "execution_count": 4, "id": "1dfce0c1", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:55.019556Z", "iopub.status.busy": "2026-07-05T19:39:55.019299Z", "iopub.status.idle": "2026-07-05T19:39:55.032721Z", "shell.execute_reply": "2026-07-05T19:39:55.032217Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sigma_8 (round trip) = 0.800\n", "sigma(M=1e12 Msun, z=0) = 2.145\n", "M with sigma(M)=1 at z=0 (M_*, today) = 9.010e+13 Msun\n" ] } ], "source": [ "powerSpectrumWindowFunction = galacticus.powerSpectrumWindowFunctionTopHat(cosmologyParameters)\n", "cosmologicalMassVariance = galacticus.cosmologicalMassVarianceFilteredPower(\n", " sigma8 = 0.8,\n", " tolerance = 1.0e-4,\n", " toleranceTopHat = 1.0e-4,\n", " nonMonotonicIsFatal = True,\n", " integrationFailureIsFatal = True,\n", " monotonicInterpolation = False,\n", " rootVarianceLogarithmicGradientTolerance = 1.0e-4,\n", " truncateAtParticleHorizon = False,\n", " storeTabulations = True,\n", " cosmologyParameters_ = cosmologyParameters,\n", " cosmologyFunctions_ = cosmologyFunctions,\n", " linearGrowth_ = linearGrowth,\n", " powerSpectrumPrimordialTransferred_ = powerSpectrum,\n", " powerSpectrumWindowFunction_ = powerSpectrumWindowFunction,\n", ")\n", "print(f\"sigma_8 (round trip) = {cosmologicalMassVariance.sigma8():.3f}\")\n", "print(f\"sigma(M=1e12 Msun, z=0) = {cosmologicalMassVariance.rootVariance(1.0e12, ageToday):.3f}\")\n", "print(f\"M with sigma(M)=1 at z=0 (M_*, today) = {cosmologicalMassVariance.mass(1.0, ageToday):.3e} Msun\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "8bdfdb9e", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:55.033628Z", "iopub.status.busy": "2026-07-05T19:39:55.033359Z", "iopub.status.idle": "2026-07-05T19:39:55.268810Z", "shell.execute_reply": "2026-07-05T19:39:55.267910Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# P(k, z) at several epochs, and sigma(M) at z=0.\n", "wavenumbers = np.logspace(-3, 2, 200) # comoving Mpc^-1\n", "fig, axes = plt.subplots(1, 2, figsize=(11.5, 4.3))\n", "for z in (0.0, 2.0, 6.0):\n", " t = cosmologyFunctions.cosmicTime(cosmologyFunctions.expansionFactorFromRedshift(z))\n", " P = np.array([powerSpectrum.power(k, t) for k in wavenumbers])\n", " axes[0].loglog(wavenumbers, P, label=f'$z={z:.0f}$')\n", "axes[0].set_xlabel('$k$ [Mpc$^{-1}$]'); axes[0].set_ylabel('$P(k)$ [Mpc$^3$]')\n", "axes[0].legend(); axes[0].set_title('Linear matter power spectrum')\n", "\n", "masses = np.logspace(6, 15, 100)\n", "sigma = np.array([cosmologicalMassVariance.rootVariance(M, ageToday) for M in masses])\n", "axes[1].loglog(masses, sigma)\n", "axes[1].axhline(1.0, color='gray', ls=':')\n", "axes[1].set_xlabel('$M$ [$M_\\\\odot$]'); axes[1].set_ylabel('$\\\\sigma(M)$')\n", "axes[1].set_title('Filtered variance at $z=0$')\n", "fig.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "f5593a98", "metadata": {}, "source": [ "## Growth of structure\n", "\n", "The growth factor $D(z)$ (normalized to unity today) quantifies how much\n", "linear perturbations have grown. Matter domination gives\n", "$D \\propto a$; dark energy suppresses late-time growth below that scaling." ] }, { "cell_type": "code", "execution_count": 6, "id": "7b6f4974", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:55.270585Z", "iopub.status.busy": "2026-07-05T19:39:55.270386Z", "iopub.status.idle": "2026-07-05T19:39:55.321446Z", "shell.execute_reply": "2026-07-05T19:39:55.320566Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zGrid = np.linspace(0.0, 9.0, 100)\n", "D = np.array([linearGrowth.value(expansionFactor=1.0/(1.0+z)) for z in zGrid])\n", "plt.plot(1.0/(1.0+zGrid), D , label='$D(a)$, $\\\\Lambda$CDM')\n", "plt.plot(1.0/(1.0+zGrid), 1.0/(1.0+zGrid), ls='--', color='gray', label='$D\\\\propto a$ (matter domination)')\n", "plt.xlabel('expansion factor $a$'); plt.ylabel('growth factor $D$'); plt.legend()\n", "plt.title('Dark energy suppresses late-time growth')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9992fd41", "metadata": {}, "source": [ "## Warm dark matter: free-streaming cuts off the spectrum\n", "\n", "A thermal-relic WDM particle free-streams out of small-scale perturbations.\n", "Galacticus applies the Bode et al. (2001) fitting form on top of any CDM\n", "transfer function; the particle physics enters through\n", "`darkMatterParticleWDMThermal` (mass in keV, effective degrees of freedom).\n", "\n", "Two diagnostic scales come straight off the transfer-function object:\n", "\n", "* `halfModeMass()` — the mass scale where $T_\\mathrm{WDM}/T_\\mathrm{CDM} = 1/2$,\n", " the standard proxy for where the halo mass function is suppressed;\n", "* `wavenumbersLocalMinima()` — positions of local minima of $T(k)$, non-empty\n", " for *oscillatory* models (fuzzy dark matter, CLASS-computed spectra); for\n", " the smooth Bode et al. form it correctly returns an empty array." ] }, { "cell_type": "code", "execution_count": 7, "id": "1296a2b3", "metadata": { "execution": { "iopub.execute_input": "2026-07-05T19:39:55.323783Z", "iopub.status.busy": "2026-07-05T19:39:55.323695Z", "iopub.status.idle": "2026-07-05T19:39:55.436317Z", "shell.execute_reply": "2026-07-05T19:39:55.435646Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " particle mass half-mode mass\n", " 1 keV 1.159e+10 Msun\n", " 3 keV 2.618e+08 Msun\n", " 10 keV 4.112e+06 Msun\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "kGrid = np.logspace(-1, 2.7, 300)\n", "print(f\"{'particle mass':>14s} {'half-mode mass':>18s}\")\n", "for massWDM, color in ((1.0, 'C1'), (3.0, 'C2'), (10.0, 'C3')):\n", " particleWDM = galacticus.darkMatterParticleWDMThermal(massWDM, 1.5, cosmologyParameters)\n", " transferFunctionWDM = galacticus.transferFunctionBode2001(\n", " transferFunction, # the CDM transfer function to modify\n", " 1, # cut-off model: barkana2001\n", " 0.359, 3.81, 1.1, # epsilon, eta, nu (Barkana et al. 2001 fit)\n", " ageToday, cosmologyParameters, particleWDM, cosmologyFunctions)\n", " ratio = np.array([transferFunctionWDM.value(k)/transferFunction.value(k) for k in kGrid])\n", " ax.semilogx(kGrid, ratio, color=color, label=f'$m_\\\\mathrm{{WDM}}={massWDM:.0f}$ keV')\n", " print(f\"{massWDM:11.0f} keV {transferFunctionWDM.halfModeMass():15.3e} Msun\")\n", " # Smooth cut-off => no oscillations => empty minima array.\n", " assert transferFunctionWDM.wavenumbersLocalMinima().size == 0\n", "ax.axhline(0.5, color='gray', ls=':', label='half-mode')\n", "ax.set_xlabel('$k$ [Mpc$^{-1}$]'); ax.set_ylabel('$T_\\\\mathrm{WDM}(k)\\\\,/\\\\,T_\\\\mathrm{CDM}(k)$')\n", "ax.set_ylim(-0.05, 1.05); ax.legend()\n", "ax.set_title('Thermal WDM: lighter particles erase larger scales')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f4d43b8c", "metadata": {}, "source": [ "The half-mode mass scales steeply with particle mass (roughly\n", "$M_\\mathrm{hm} \\propto m_\\mathrm{WDM}^{-3.33}$) — a 1 keV relic wipes out\n", "dwarf-galaxy-scale halos, while 10 keV is nearly indistinguishable from CDM\n", "above $10^6\\,M_\\odot$. Tutorial 3 turns these spectra into halo mass\n", "functions." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }