{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Running global evolution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The aim of this tutorial is to show how `21cmFAST` can be used to compute gloabl quantities in seconds, and clarify what assumptions are taken in that calculation, compared to a standard lightcone run." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:11.054977Z", "start_time": "2020-02-29T22:10:10.248058Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from tempfile import mkdtemp\n", "import py21cmfast as p21c" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-02-29T22:10:11.059890Z", "start_time": "2020-02-29T22:10:11.056796Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Using 21cmFAST version 4.1.1.dev9+gd422fd7b7\n" ] } ], "source": [ "print(f' Using 21cmFAST version {p21c.__version__}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run a simulation using `run_lightcone`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we want to compute the global signal, before running a full detailed simulation. In older versions of `21cmFAST` this would require us to call `run_lightcone`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Specifying input parameters is a topic covered in a [different tutorial](defining_input_params.html).\n", "Here, we want something small and fast, so we use the `\"tiny\"` configuration, together with the `\"fixed-halos\"` template, since we also want to explore the evolution of the star formation rate density (SFRD) in the simulation. We also adjust the `zmax` and `zstep_factor` arguments in order to have a smoother evolution (more redshift snapshots)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jordanflitter/miniconda3/envs/V4_ENV/lib/python3.12/site-packages/attr/_make.py:3279: UserWarning: You are setting R_BUBBLE_MAX != 50 when INHOMO_RECO=True. This is non-standard (but allowed), and usually occurs upon manual update of INHOMO_RECO\n", " v(inst, attr, value)\n", "/Users/jordanflitter/miniconda3/envs/V4_ENV/lib/python3.12/site-packages/py21cmfast/wrapper/inputs.py:1973: UserWarning: The maximum halo mass 1.33e+11 solMass is below the integral mass 1.00e+16 solMass. Halos above 1.33e+11 solMass will not be accounted for in the simulation.\n", " check_halomass_range(self)\n" ] } ], "source": [ "inputs = p21c.InputParameters.from_template(\n", " [\"fixed-halos\", \"tiny\"], random_seed=1234\n", ").with_logspaced_redshifts(\n", " zmax = 35., \n", " zstep_factor = 1.02,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We configure the cache and lightconer below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "cache = p21c.OutputCache(mkdtemp())\n", "cacheconfig = p21c.CacheConfig.last_step_only()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "lightconer = p21c.RectilinearLightconer.between_redshifts(\n", " min_redshift=inputs.node_redshifts[-1]+0.5,\n", " max_redshift=inputs.node_redshifts[0]-0.5,\n", " resolution=inputs.simulation_options.cell_size,\n", " cosmo=inputs.cosmo_params.cosmo,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we run the lightcone simulation!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1b42d4a228ee4075a5dba94e463fb8f3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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       "Output()"
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   "source": [
    "lightcone = p21c.run_lightcone(\n",
    "    lightconer=lightconer,\n",
    "    inputs=inputs,\n",
    "    cache=cache,\n",
    "    write=cacheconfig,\n",
    "    progressbar=True\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run a simulation using `run_global_evolution`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When `21cmFAST` computes the global quantities from a `run_lightcone` simulation, it does the following at each redshift snapshot (i.e. at each entry of `node_redshifts`); first it evaluates a coeval box that contains all the fields in the simulation, then, for each field in the coeval box, it computes the mean value.\n",
    "\n",
    "The abve procedure may seem computationally expensive for just getting the mean value of the fields. If we are only interested in plotting the global quantities, without caring about the spatial fluctuations, do we really have to run a full lightcone simulation? Can't we run a single cell simulation with zero overdensity ($\\delta=0$), just to get the global evolution of the fields? In other words, how valid is the approximation $\\langle f(\\delta)\\rangle\\approx f(\\langle \\delta\\rangle=0)$? This is known as the \"single zone approximation\", since we treat the Universe as a giant homogeneous single zone in order to evaluate mean background evolution of the fields.\n",
    "\n",
    "Of course, if the field $f$ is given by a linear expression of $\\delta$, then by definition $\\langle f(\\delta)\\rangle=f(\\langle \\delta\\rangle)$. This relation however is no longer guaranteed when $f$ is not a linear function of $\\delta$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For speeding up the calculation of the global signal, `21cmFAST` also has the option to compute the global evolution of all the fields in the simulation by applying the single zone approximation. This is done by running a giant single cell simulation, but without performing 2LPT (as there is no point in moving masses when there is just one cell), and without performing the excursion set algorithm to find ionized bubbles (since there are no bubbles in a box made of a single cell!)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to compute the global evolution of all the fields in the simulation with the single zone approximation, we call `run_global_evolution`. Note that `inputs` can contain a `SOURCE_MODEL` with discrete halos, but then the `source_model` argument must be specified, and it must not contain halos! (since we cannot define halos when we only have one cell)\n",
    "\n",
    "Also note that unlike `run_lightcone`, `run_global_evolution` doesn't require providing a cache and lightconer settings."
   ]
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   "cell_type": "code",
   "execution_count": 7,
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       "Output()"
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     "output_type": "display_data"
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     "metadata": {},
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   ],
   "source": [
    "global_evolution = p21c.run_global_evolution(\n",
    "    inputs = inputs,\n",
    "    source_model = \"L-INTEGRAL\", # can choose between \"CONST-ION-EFF\", \"E-INTEGRAL\", \"L-INTEGRAL\"\n",
    "    progressbar = True\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This took a lot faster than `run_lightcone`!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that unlike `run_lightcone`, the actual `InputParameters` instance that is used in `run_global_evolution` is not the same as `inputs`! For example, a detailed inspection will reveal that we have used a single cell and we also perturbed (the mean) density field linearly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n",
      "False\n"
     ]
    }
   ],
   "source": [
    "print(inputs == lightcone.inputs)\n",
    "print(inputs == global_evolution.inputs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HII_DIM that was used in run_lightcone: 32.\n",
      "HII_DIM that was used in run_global_evolution: 1.\n",
      "Perturbation algorithm that was used in run_lightcone: 2LPT.\n",
      "Perturbation algorithm that was used in run_global_evolution: LINEAR.\n"
     ]
    }
   ],
   "source": [
    "print(f\"HII_DIM that was used in run_lightcone: {lightcone.simulation_options.HII_DIM}.\")\n",
    "print(f\"HII_DIM that was used in run_global_evolution: {global_evolution.simulation_options.HII_DIM}.\")\n",
    "print(f\"Perturbation algorithm that was used in run_lightcone: {lightcone.matter_options.PERTURB_ALGORITHM}.\")\n",
    "print(f\"Perturbation algorithm that was used in run_global_evolution: {global_evolution.matter_options.PERTURB_ALGORITHM}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison of the global evolution in both methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have the global evolution of the fields in both methods, it is time to compare them! We compare below the SFRD (`halo_sfr`), the gas kinetic temperature, the spin temperature, the neutral fraction, the 21-cm optical depth, and the 21-cm signal (`brightness_temp`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fields = [\n", " \"halo_sfr\",\n", " \"kinetic_temp_neutral\",\n", " \"spin_temperature\",\n", " \"neutral_fraction\",\n", " \"tau_21\",\n", " \"brightness_temp\"\n", "]\n", "\n", "fig, axes = plt.subplots(2, 3, figsize=(15,10))\n", "z_array = global_evolution.node_redshifts\n", "for ax, field in zip(axes.flatten(),fields):\n", " ax.plot(z_array,lightcone.global_quantities[field],label=\"lightcone\")\n", " ax.plot(z_array,global_evolution.quantities[field],label=\"global evolution\")\n", " ax.set_xlim([min(z_array),max(z_array)])\n", " ax.set_xlabel('z')\n", " ax.set_ylabel(field)\n", " ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Focusing first on the top row, we see that there is an good match between the two methods. The two methods agree particularly well at high redshifts, while small differences can be seen at lower redshifts. This makes sense since at higher redshifts the fluctuations in the density field are still in the linear regime ($|\\delta|\\ll 1$), and thus the single zone approximation works well due to Taylor expansioning the field function around zero, $\\langle f(\\delta)\\rangle\\approx f(\\langle \\delta\\rangle=0)$. However, at low redshifts the fluctuations in the density field become non-linear, implying the break of the single zone approximation (in other words, the non-linear fluctuations in the fields at lower redshifts do not fully cancel out when the mean value is computed)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Moving now to the second row, we can see differences in the global evolution of the neutral fraction $x_\\mathrm{HI}$ at low redshifts, after reionization has started. These differences are the result of the known photon non-conservation feature in the excursion-set algorithm of reionization (see more details at e.g. [Park, Greig and Mesinger 2022](https://arxiv.org/pdf/2112.05184)). These difference are then propagated to other quantities that depend on $x_\\mathrm{HI}$, like the 21-cm optical depth and the brightness temperature." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In conclusion, `run_global_evolution` can save a lot of time if only the global evolution of the fields is of interest. Differences can be seen at low redshifts because (1) the fluctuations of the density field become non-linear, and (2) the reionization excursion-set algorithm does not yield the true global $x_\\mathrm{HI}$ history (unless photon non-conservation correction is applied)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Doing linear perturbation theory with `21cmFAST`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`run_global_evolution` has another argument called `overdensity_z0`, this parameter can be viewed as the \"initial conditions\" for the global evolution calculations. The default for this input argument is `None`, meaning that we want to set the initial conditions to zero in order to simulate the Universe on its largest scales. It may therefore seem inconsistent to set this parameter on a non-zero value. However, this could be very helpful in doing linear perturbation theory with `21cmFAST`!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us make two quick runs, one when this parameter is zero, and another run when this parameter is non-zero, but still has a tiny value. Note that we set `zmin=20` in order not to get to low redshifts where linear perturbation theory becomes invalid." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jordanflitter/miniconda3/envs/V4_ENV/lib/python3.12/site-packages/attr/_make.py:3279: UserWarning: You are setting R_BUBBLE_MAX != 50 when INHOMO_RECO=True. This is non-standard (but allowed), and usually occurs upon manual update of INHOMO_RECO\n", " v(inst, attr, value)\n", "/Users/jordanflitter/miniconda3/envs/V4_ENV/lib/python3.12/site-packages/py21cmfast/wrapper/inputs.py:1973: UserWarning: The maximum halo mass 1.33e+11 solMass is below the integral mass 1.00e+16 solMass. Halos above 1.33e+11 solMass will not be accounted for in the simulation.\n", " check_halomass_range(self)\n", "/Users/jordanflitter/miniconda3/envs/V4_ENV/lib/python3.12/site-packages/attr/_make.py:3279: UserWarning: You are setting R_BUBBLE_MAX != 50 when INHOMO_RECO=True. This is non-standard (but allowed), and usually occurs upon manual update of INHOMO_RECO\n", " v(inst, attr, value)\n" ] } ], "source": [ "delta_z0 = 1e-2\n", "inputs_zmin20 = inputs.with_logspaced_redshifts(zmin=20, zstep_factor=1.02, zmax=35.)\n", "global_evolution_0 = p21c.run_global_evolution(inputs=inputs_zmin20,overdensity_z0=0.)\n", "global_evolution_delta = p21c.run_global_evolution(inputs=inputs_zmin20,overdensity_z0=delta_z0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given these two runs, we can now compute perturbative quantitites, such as the growth factor and the adiabatic index, $c_T$ (it is defines as $T_k\\left(\\delta\\right)=\\bar T_k\\left(1+\\delta\\right)^{c_T}$)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "z_array = global_evolution_0.node_redshifts\n", "\n", "density_0 = global_evolution_0.quantities[\"density\"] # This is zero!\n", "density_delta = global_evolution_delta.quantities[\"density\"]\n", "Tk_0 = global_evolution_0.quantities[\"kinetic_temp_neutral\"]\n", "Tk_delta = global_evolution_delta.quantities[\"kinetic_temp_neutral\"]\n", "\n", "growth_factor = (density_delta - density_0) / delta_z0\n", "c_T = (Tk_delta - Tk_0) / Tk_0 / density_delta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot these quantities below. As expected, the growth factor is a montonously increasing function with time (or decreasing with redshift), as well as the adiabatic index (see e.g. [Munoz 2023](https://arxiv.org/pdf/2302.08506) or [Flitter & Kovetz 2024](https://arxiv.org/pdf/2309.03948) for more details on the adiabatic index)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(15,7))\n", "for quantity, label, ax in zip((growth_factor, c_T), (\"Growth factor\", \"Adiabatic index\"), axes.flatten()):\n", " ax.plot(z_array,quantity)\n", " ax.set_xlim([min(z_array),max(z_array)])\n", " ax.set_xlabel('z')\n", " ax.set_ylabel(label)" ] } ], "metadata": { "kernelspec": { "display_name": "V4_ENV", "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": "3.12.7" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "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": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }