csiborgtools/notebooks/powerspectrum_H0.ipynb
2024-03-08 14:46:38 +00:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# $P(k, H_0)$\n",
"\n",
"Quick notebook to see how the power spectrum depends on $H_0$."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import camb\n",
"from camb import model\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"def get_pk(h):\n",
" pars = camb.CAMBparams()\n",
"\n",
" pars.set_cosmology(H0=h*100, ombh2=0.04825 * h**2, omch2=(0.307 - 0.04825) * h**2)\n",
" pars.InitPower.set_params(ns=0.9611)\n",
" pars.set_matter_power(redshifts=[0.], kmax=40)\n",
"\n",
" #Non-Linear spectra (Halofit)\n",
" pars.NonLinear = model.NonLinear_both\n",
" results = camb.get_results(pars)\n",
" results.calc_power_spectra(pars)\n",
" kh_nonlin, z_nonlin, pk_nonlin = results.get_matter_power_spectrum(minkh=1e-3, maxkh=50, npoints = 200)\n",
"\n",
" return kh_nonlin, pk_nonlin[0]\n",
"\n",
"kh_nonlin, pk_nonlin_reference = get_pk(0.705)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"\n",
"for h in [0.65, 0.70, 0.75]:\n",
" __, pk = get_pk(h)\n",
" plt.plot(kh_nonlnie, pk / pk_nonlin_reference, label=r\"$h = {}$\".format(h))\n",
"\n",
"plt.legend()\n",
"plt.xscale(\"log\")\n",
"plt.xlabel(r\"$k ~ [h / \\mathrm{Mpc}]$\")\n",
"plt.ylabel(r\"$P(k, h) / P(k, h=0.705)$\")\n",
"\n",
"plt.tight_layout()\n",
"plt.savefig(\"../plots/pk_h0_dependence.png\", dpi=450)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "venv_csiborg",
"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": "3.11.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}