{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Example 2: Blazar simulation including external fields\n", "\n", "### Single-zone external field blazar model by [Rodrigues et al, *Astron.Astrophys.* 681 (2024) A119](https://arxiv.org/abs/2307.13024).\n", "\n", "### The parameters used are the best-fit values for PKS 0736+01 as reported in the above paper and on [this GitHub repository](https://github.com/xrod/lephad-blazars/).\n", "\n", "### When using this model, please [cite the above paper](https://inspirehep.net/literature/2680434) additionally to [AM3](https://am3.readthedocs.io/en/latest/#citing-am3)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Import modules and define some helper functions " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import pickle as pickle\n", "import astropy.units as u\n", "from astropy.cosmology import FlatLambdaCDM\n", "cosmo = FlatLambdaCDM(H0=70, Om0=0.3)\n", "from astropy.constants import codata2010 as const\n", "from matplotlib import pyplot as plt\n", "import seaborn as sns\n", "\n", "import am3\n", "\n", "def PlanckDistribution(earr, temperature, lum):\n", " '''\n", " Thermal Distribution (unnormalized)\n", "\n", " return: E^2dN/dE [a.u.]\n", " par earr (array): photon energy [eV]\n", " par temperature [K]\n", " par lum: total luminosity [erg/s]\n", " '''\n", " lgr = earr / temperature / const.k_B.to(u.eV/u.K)\n", " exparr = np.exp(lgr) - 1\n", " ednde = earr ** 4 / exparr\n", " integ = np.trapezoid(ednde / earr, earr)\n", " return ednde * lum / integ\n", "\n", "\n", "def Schwarzschild(m_bh):\n", " '''Schwarzschild radius [cm]\n", " \n", " m_bh: black hole mass [m_solar]\n", " '''\n", " rad = (2 * const.G * m_bh * 1.989e30*u.kg \n", " / const.c ** 2)\n", " return rad.to(u.cm)\n", "\n", "\n", "def DiskTemperature(rad, lumdisk, m_bh, eta=0.08):\n", " '''Radius-dependent disk temperature [K]\n", " '''\n", " sb = const.sigma_sb.to(u.erg/u.s/\n", " u.K**4/u.cm**2)\n", " rsch = Schwarzschild(m_bh)\n", " \n", " term1 = 3 * rsch * lumdisk / (16 * np.pi * eta \n", " * sb * rad ** 3)\n", " term2 = 1 - (3 * rsch / rad) ** 0.5\n", " return (term1 * term2) ** 0.25\n", " \n", "\n", "def ShakuraFlux(earr, lumdisk, m_bh, thetaobs=3.0, eta=0.08):\n", " '''Disk spectral flux in observer's frame [erg/cm2/s]\n", " \n", " earr (array): photon energies [eV]\n", " lumdisk: [erg/s]\n", " m_bh: black hole mass / m_solar\n", " thetaobs: angle btw. LOS and disk rotation axis (deg)\n", " '''\n", " kB = const.k_B.to(u.eV/u.K)\n", " c0 = const.c.cgs\n", " hplanck = const.h.to(u.eV*u.s)\n", "# dlum = cosmo.luminosity_distance(z).to(u.cm)\n", " rsch = Schwarzschild(m_bh)\n", " rin = 3 * rsch\n", " rout = 300 * rsch\n", " radarr = np.linspace(rin, rout, 50)\n", " \n", " frac = (4 * np.pi) ** 2 * hplanck * np.cos(thetaobs*np.pi/180) / c0 ** 2\n", " nuarr = earr / hplanck # convert x-axis to obs frame\n", " en2d = earr[:,np.newaxis] # convert x-axis to obs frame\n", " rad2d = radarr[np.newaxis,:]\n", " temp2d = DiskTemperature(rad2d,lumdisk,m_bh,eta) # K\n", " \n", " integrand = rad2d / (np.exp(en2d/temp2d/kB) - 1)\n", " integral = np.trapezoid(integrand, radarr, axis=1)\n", " Fnu = (nuarr ** 3 * frac * integral).to(u.erg)\n", " return nuarr * Fnu\n", "\n", "def BroadLine(earr, center, width, lum):\n", " '''\n", " Broad line spectrum, normalized to `lum` \n", "\n", " return: E^2dN/dE [a.u.]\n", " par earr (array): photon energies (eV)\n", " par center: line energy [eV]\n", " par width: line width (eV)\n", " par lum: line luminosity [erg/s]\n", " '''\n", " ednde = np.exp(-0.5 \n", " * (earr - center) ** 2 \n", " / width ** 2\n", " )\n", "# ednde[ednde < 1e-100] = 0.\n", " integ = np.trapezoid(ednde/earr, earr)\n", " ednde *= lum / integ\n", " return ednde\n", "\n", "def get_BLR_density_scaling(R_zone, R_diss, lorentz):\n", " '''Scaling of the photon density seen in the jet frame \n", " with the dissipation radius, according to Eq. 20 of \n", " Ghisellini+Tavecchio 0902.0793\n", " '''\n", "\n", " def scaling_for_large_R_diss(R_diss, R_zone, lorentz):\n", " beta = (1 - 1. / lorentz ** 2) ** 0.5\n", " mu1 = (1 + (R_zone / R_diss) ** 2) ** -.5\n", " mu2 = (1 - (R_zone / R_diss) ** 2) ** .5\n", " f_mu = (2 * (1 - beta * mu1) ** 3\n", " - (1 - beta * mu2) ** 3\n", " - (1 - beta) ** 3)\n", " return f_mu / 3. / beta\n", "\n", " f0 = 17. / 12\n", " \n", " if R_diss <= R_zone:\n", " scaling = f0\n", " \n", " elif R_diss >= 3 * R_zone:\n", " scaling = scaling_for_large_R_diss(\n", " R_diss,\n", " R_zone,\n", " lorentz)\n", " \n", " elif R_zone < R_diss < 3 * R_zone:\n", " # Power-law interpolation\n", " f_3R = scaling_for_large_R_diss(\n", " 3 * R_zone, \n", " R_zone,\n", " lorentz\n", " )\n", " scaling = 10 **(\n", " (np.log10(f_3R) - np.log10(f0))\n", " / (np.log10(3 * R_zone) - np.log10(R_zone))\n", " * (np.log10(R_diss) - np.log10(R_zone))\n", " )\n", " \n", " return scaling\n", " \n", "def tangential_angle(R_BLR, R_diss):\n", " '''Calculate the characteristic angle of the radiaiton,\n", " which is the tangential angle. This is where the dominant\n", " contribution comes from because it has the highest doppler\n", " boost, as well as for geometric reasons.\n", " '''\n", " csi = np.arcsin(R_BLR/R_diss)\n", " return csi\n", "\n", "def calc_doppler(lorentz, R_BLR, R_diss):\n", " '''Calculate relative Doppler factor between blob and BLR.\n", " The blob has bulk factor `lorentz` and distance to the black hole \n", " given by `R_diss` [cm]. The BLR has radius `R_BLR` [cm].\n", " '''\n", " if R_diss <= R_BLR:\n", " return lorentz\n", " \n", " csi = tangential_angle(R_BLR, R_diss)\n", " beta = (1 - 1. / lorentz ** 2) ** 0.5\n", " doppler = lorentz * (1 - beta * np.cos(csi))\n", " return doppler\n", "\n", "def convert_lum_to_density_in_jet(R_diss, lorentz, R_BLR):\n", " ''' Convert external field luminosity in the rest frame of the \n", " black hole in [erg/s] into energy density in the comoving frame \n", " of the jet blob in [GeV / cm^3]. R_BLR can represent the BLR radius\n", " or the dust torus radius. \n", "\n", " This is an *approximation where the emission is considered to come \n", " only from the tangential direction*. See Fig. 1 of Ghisellini and\n", " Tavecchio 2009 (arXiv:0902.0793) \n", "\n", " return: conversion factor [GeV erg^-1 s cm^-3]\n", " ''' \n", "\n", " f1 = (lorentz ** 2 # In a previous version of the notebook,\n", " # this line read (Doppler factor) ** 2.\n", " # This is the correct expression.\n", " / (4.\n", " * np.pi \n", " * R_BLR ** 2 \n", " * const.c.cgs.value)\n", " * u.erg.to('GeV'))\n", " \n", " f2 = get_BLR_density_scaling(R_BLR, R_diss, lorentz)\n", " factor = f1 * f2 \n", " \n", " return factor" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Initialize AM3, set up the energy grids, set AM3 switches for the different processes, and initialize the kernels\n", "\n", "This should be done **only once** every time you import the AM3 module.\n", "\n", "Once you initialize AM3, the same kernel can be used for subsequent simulations. \n", "\n", "To inject different particle distributions, simply do `am3.clear_particle_densities()` and inject the new ones. This does not require a kernel recomputation.\n", "\n", "To change the magnetic field, use `am3.set_mag_field(new_bfield)`. This triggers a kernel re-compuation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "init. AM3 kernels:\n", "CPU times: user 8.27 s, sys: 210 ms, total: 8.48 s\n", "Wall time: 4.49 s\n", "AM3 has the following switches (at step: 0)\n", "estimate maximum energies: 0\n", "parse sed components: 1\n", "escape: 1\n", "expansion: 0\n", "adiabatic: 0\n", "synchrotron:\n", " e+/-: 1 (em..: 1, cool.: 1)\n", " protons:1 (em..: 1, cool.: 1)\n", " pions:0 (em..: 1, cool.: 1)\n", " muons:0 (em..: 1, cool.: 1)\n", " syn-self-abs.:1\n", " e+/- quantum-syn.:0\n", "inv. Compton:\n", " e+/-: 1 (em.. : 1, cool.: 1 (continuous))\n", " photon loss due to upscattering: 0\n", " protons:1 (em.. (step approx.): 1, no cooling)\n", " pions:0 (em.. (step approx.): 1, cont. cool.: 1)\n", " muons:0 (em.. (step approx.): 1, cont. cool.: 1)\n", "pair prod. (gamma+gamma->e+e)1 (photon loss.: 1, e+/- source (feedback): 1(opt. 14-bin kernel))\n", "'hadronic' processes (below): 1\n", " Pion decay: 1 Muon decay:1)\n", "proton Bethe-Heitler: 1 (em..: 1, cool.: 1)\n", "proton photo-pion: 1 (em..: 1, cool.: 1, photon loss: 1)\n", "proton p-p: 1 (em..: 1 , cool.: 1)\n", "\n", "AM3 params (comoving):\n", "escape_timescale: 1e+06 s\n", " with fractions: (protons: 1, neutrons: 1, pions: 1, muons: 1, neutrinos: 1, pairs: 1)\n", "expansion_timescale: 1e+06 s\n", "t_adi: 3e+06 s\n", "B: 0.01 G\n", "pp target density = 0 cm^-3\n", "dt = 1000 s\n", "eta_Bohm: electrons:1, protons: 1\n", "inj. el:\n", " power density = 0 erg/s/cm^3, \n", " Emin = 1e+07 eV,\n", " Ebreak = 1e+07 eV,\n", " Emax = 1e+13 eV,\n", " index = 2,\n", " index above break = 2,\n", " cut_off steepness = 1\n", "inj. protons: power density = 0 erg/s/cm^3, \n", " Emin = 1e+10 eV,\n", " Ebreak = 1e+10 eV,\n", " Emax = 1e+15 eV,\n", " index = 2,\n", " index above break = 2,\n", " cut_off steepness = 1\n", "\n" ] } ], "source": [ "%%time\n", "\n", "# Initialize the AM3 module\n", "am3 = am3.AM3()\n", "\n", "# Adjust min photon energy, min neutrino energy, and max energy for all particles [eV].\n", "# This allows us to optimize the performance depending on the needs of the specific science case\n", "am3.update_energy_grid(1e-6, 1e3, 1e18)\n", "\n", "# Manually define max proton and electron energy\n", "am3.set_estimate_max_energies(0)\n", "\n", "# Turn on for keeping track of the different SED components, for plotting purposes;\n", "# turn off for efficiency.\n", "am3.set_process_parse_sed(1)\n", "\n", "# Hadronic processes on\n", "am3.set_process_hadronic(1)\n", "\n", "# Keep track of positrons and electrons separately\n", "am3.set_process_merge_positrons_into_electrons(0)\n", "\n", "# Escape (see documentation)\n", "am3.set_process_escape(1)\n", "\n", "# Expansion of radiation zone (see documentation). This one is stationary. \n", "am3.set_process_expansion(0)\n", "am3.set_process_adiabatic_cooling(0)\n", "\n", "# Electron synchrotron and synchrotron self-absorption\n", "am3.set_process_electron_syn(1)\n", "am3.set_process_ssa(1)\n", "\n", "# Proton synchrotron - subdominant in this case, but may be relevant for B>~10 G\n", "am3.set_process_proton_syn(1)\n", "\n", "# Quantum synchrotron for pairs off by default.\n", "# In AGN simulations this effect can typically be neglected, so turn off for efficiency\n", "am3.set_process_quantum_syn(0)\n", "\n", "# Inverse Compton by electrons and protons \n", "am3.set_process_electron_compton(1)\n", "am3.set_process_proton_compton(1)\n", "\n", "# Direct Compton turned off by default\n", "am3.set_process_compton_photon_energy_loss(0)\n", "\n", "\n", "# Synchrotron and inverse Compton by muons and pions - off by default.\n", "# In AGN simulations this effect can typically be neglected, so turn off for efficiency\n", "am3.set_process_muon_syn(0)\n", "am3.set_process_pion_syn(0)\n", "am3.set_process_muon_compton(0)\n", "am3.set_process_pion_compton(0)\n", "\n", "# Secondary particle decay\n", "am3.set_process_pion_decay(1)\n", "am3.set_process_muon_decay(1)\n", "\n", "# Photon annihilation (gamma gamma -> e- e+)\n", "am3.set_process_annihilation(1)\n", "am3.set_optimize_annihilation_pair_emission(1) # optimization\n", "\n", "# Bethe-Heitler pair production (p gamma -> p e+ e-)\n", "am3.set_process_bethe_heitler(1)\n", "am3.set_optimize_bethe_heitler_outgoing_pairs_grid(1)\n", "am3.set_optimize_bethe_heitler_incoming_protons_min(1e12)\n", "am3.set_optimize_bethe_heitler_target_photon_max(1e6)\n", "\n", "# Photo-pion production (nucleon gamma -> nucleon pion)\n", "am3.set_process_photopion(1)\n", "am3.set_optimize_photopion_target_photon_grid(1)\n", "am3.set_optimize_photopion_target_photon_max(1e6)\n", "\n", "am3.set_profile_timing(1) # Used for profiling, as in the bottom plot. Turn off for efficiency.\n", "\n", "# Initialize the AM3 kernels with the above settings\n", "am3.init_kernels()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Define physics parameters\n", "\n", "and update the magnetic field strength and the light-crossing time in AM3 basde on the defined values" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "pars = {\n", " \n", " # Parameters describing the single-zone geometry\n", " 'r_blob' : 4.62e+16, # cm\n", " 'magfield' : 0.783, # gauss\n", " 'lorentz' : 17.6, # Jet bulk Lorentz factor (impacts both the relativistic boosting \n", " # of the external fields into the jet frame and the boost of the jet\n", " # emission into the observer's frame)\n", " 'rdiss' : 3.42e+17, # Dissipation radius in cm (cf Fig.2 of Rodrigues+2023)\n", " # (impacts the density and relativistic boost of the \n", " # external fields in the jet rest frame)\n", "\n", " # Electron injection \n", " # (in this case we assume a single power-law spectrum, see below)\n", " 'elec_emin' : 2.16e1 * (const.m_e * const.c ** 2).to(u.eV).value, # eV\n", " 'elec_emax' : 7.36e3 * (const.m_e * const.c ** 2).to(u.eV).value, # eV\n", " 'eindex' : 2.02,\n", " 'elum' : 1.84e+41, # erg/s\n", "\n", " # Proton injection \n", " # (in this case we assume a single power-law spectrum, see below)\n", " 'proton_emin' : 1e2 * (const.m_p * const.c ** 2).to(u.eV).value, # eV \n", " 'proton_emax' : 2e6 * (const.m_p * const.c ** 2).to(u.eV).value, # eV\n", " 'pindex' : 1.0,\n", " 'plum' : 6.29e+43, # erg/s\n", "\n", " # Other source parameters\n", "\n", " 'z' : 0.19,\n", " 'disk_lum' : 1e45 * u.erg/u.s, # accretion disk luminosity\n", " 'black_hole_mass' : 6e8, # [solar mass units]\n", "\n", " 'torus_temperature' : 500 * u.K,\n", " 'blr_covering' : 0.1,\n", " 'torus_covering' : 0.3\n", " }\n", "\n", "\n", "\n", "# Below, we calculate the size of the BLR and torus and the relative Doppler \n", "# factor of the external photons into the jet frame based on the above parameters\n", " \n", "pars['blr_radius'] = 1e17 * (pars['disk_lum'].value / 1e45) ** 0.5 # [cm]\n", "pars['torus_radius'] = 2.5e18 * (pars['disk_lum'].value / 1e45) ** 0.5 # [cm]\n", "pars['blr_doppler'] = calc_doppler(pars['lorentz'], pars['blr_radius'], pars['rdiss'])\n", "pars['torus_doppler'] = calc_doppler(pars['lorentz'],pars['torus_radius'],pars['rdiss'])\n", "\n", "# Set homogeneous magnetic field strength\n", "am3.set_mag_field(pars['magfield'])\n", "\n", "# Set escape time scale (subject to escape switch - in this case escape is on)\n", "am3.set_escape_timescale(pars['r_blob'] / const.c.cgs.value) # 4.62e16 cm == Size of the region\n", "\n", "# Set solver time step, in this case one-tenth of the light-crossing time\n", "am3.set_solver_time_step(1e-1 * am3.get_escape_timescale()) \n", "\n", "# Note 1:\n", "# All the above parameters can be changed at any time during runtime. However, \n", "# make sure to check where each parameter is used and update it accordingly. \n", "# For example, the B-field strength is used only internally by AM3, so changing \n", "# its value requires calling `am3.set_mag_field(new_value)`. The blob size, r_blob, \n", "# is used internally by AM3 (for the escape rate) as well as externally (to \n", "# calculate the particle densities in the cell below). The bulk Lorentz factor enters\n", "# the calculation of the external fields as well as the flux in the observer's \n", "# frame, etc. \n", " \n", "# Note 2:\n", "# The escape timescale would control adiabatic cooling losses as well as the reduction in particle density \n", "# due to the expansion of the region.\n", "# In this example, both processes are turned off because we simulate a stationary region, so there is\n", "# no need to define it. \n", "# am3.set_expansion_timescale(4.62e+16 / const.c.cgs.value) \n", "\n", "# Note 3:\n", "# The solver time step define above is quite large, and it leads to accurate results \n", "# only for optically thin sources (e.g. most single-zone blazar models). For more \n", "# extreme environments, it may be necessary to decrease the solver time step \n", "# to capture the numerical hardness of the equations. As a rule of thumb, we want to \n", "# look at the fastest process rates at the relevant particle energies.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Set up and run the simulation\n", "\n", "### Set magnetic field strength and escape timescale (light-crossing time of the region)\n", "\n", "Additionally to the general escape timescale, the escape rate of each species can be individually adjusted.\n", "\n", "For example, doing `am3.set_escape_fraction_charged_particles(0.01)` decreases the escape rate of charged particles by a factor 100.\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Create arrays with the accelerated electron and proton spectra\n", "\n", "This is an example of the most generic way to inject any user-defined electron and proton spectra. \n", "\n", "For the specific case of simple or broken power law injection, the same can also be achieved with the template function provided in AM3. For example:\n", "\n", "```\n", "volume = 4./3 * np.pi * (am3.get_escape_timescale() * const.c.cgs.value) ** 3\n", "am3.set_powerlaw_injection_parameters_electrons(volume, elum, elec_emin, elec_emin, elec_emax, eindex, eindex, 1.0)\n", "```" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "tags": [] }, "outputs": [], "source": [ "# Create electron spectrum, in this case a simple power law.\n", "# The same can also be achieved using the template powerlaw function:\n", "# am3.set_electron_powerlaw_injection_parameters_parameters((elum, elec_emin, elec_emin, elec_emax, eindex, eindex, 1.0))\n", "\n", "egrid = am3.get_egrid_lep()\n", "epowerlaw = (egrid ** (2 - pars['eindex']) \n", " * (egrid >= pars['elec_emin'])\n", " * np.exp(- egrid / pars['elec_emax'])\n", " )\n", "# Integrate spectrum in erg/s\n", "etrapz = np.trapezoid(epowerlaw / egrid, egrid)\n", "\n", "# Normalize it to the desired electron lumiosity\n", "enormalized = epowerlaw * pars['elum'] / etrapz # erg/s\n", "\n", "# Convert it to an energy density injection rate\n", "volume = 4/3 * np.pi * pars['r_blob'] ** 3\n", "enormalized /= volume # erg/cm3/s\n", "\n", "# And finally to a particle density injection rate\n", "enormalized /= egrid * u.eV.to(u.erg) # cm-3.s-1\n", "\n", "\n", "\n", "# Create proton spectrum, in this case also a simple power law.\n", "# The same can be achieved using the template powerlaw function:\n", "# io.set_proton_powerlaw_injection_parameters_parameters((plum, proton_emin, proton_emin, proton_emax, pindex, pindex, 1.0))\n", "\n", "pgrid = am3.get_egrid_had()\n", "ppowerlaw = (pgrid ** (2 - pars['pindex'])\n", " * (pgrid >= pars['proton_emin'])\n", " * np.exp(- pgrid / pars['proton_emax'])\n", " )\n", " \n", "# Integrate spectrum in erg/s\n", "ptrapz = np.trapezoid(ppowerlaw / pgrid, pgrid)\n", " \n", "# Normalize it to the desired proton lumiosity\n", "pnormalized = ppowerlaw * pars['plum'] / ptrapz # erg/s\n", " \n", "# Convert it to an energy density injection rate\n", "volume = 4/3 * np.pi * pars['r_blob'] ** 3\n", "pnormalized /= volume # erg/cm3/s\n", " \n", "# And finally to a particle density injection rate\n", "pnormalized /= pgrid * u.eV.to(u.erg) # cm-3.s-1\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Define external photon spectrum\n", "\n", "In this case we consider three components (see Fig. 2 of [Rodrigues+ 2023](https://arxiv.org/abs/2307.13024)):\n", " \n", "- Broad lines from hydrogen and helium Lymann alpha emission\n", "- Fraction of the thermal disk emission scattered in the BLR\n", " (following a multi-temperature Shakura-Sunaev spectrum)\n", "- Infrared emission from a dust torus \n", " (following a simple black-body spectrum)\n", "\n", "Below we define arrays with the spectral shapes of these different components, normalize them to the disk luminosity including the respective covering factors, boost them into the jet rest frame, add them up into a single array, and finally inject this in the simulation as external photons." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/am3/lib/python3.12/site-packages/astropy/units/quantity.py:659: RuntimeWarning: divide by zero encountered in divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", "/opt/anaconda3/envs/am3/lib/python3.12/site-packages/astropy/units/quantity.py:659: RuntimeWarning: overflow encountered in exp\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n" ] } ], "source": [ "# AM3 photon grid\n", "egrid_jetframe = am3.get_egrid_photons() * u.eV \n", "\n", "# Set up array for adding up external fields\n", "external_photons = np.zeros(egrid_jetframe.size) * u.GeV / u.cm**3\n", "\n", "# Scattered thermal disk emission\n", "disky = ShakuraFlux(egrid_jetframe / pars['blr_doppler'], \n", " pars['disk_lum'], \n", " pars['black_hole_mass'], \n", " 3.0) # erg/s, black hole frame\n", "\n", "# Broad line emission\n", "hybl = BroadLine(egrid_jetframe / pars['blr_doppler'], \n", " 10.2*u.eV, 10.2*u.eV/20, # H Ly alpha line energy and width\n", " pars['disk_lum'] * pars['blr_covering']) # [erg/s]\n", "hebl = BroadLine(egrid_jetframe / pars['blr_doppler'], \n", " 40.8*u.eV, 40.8*u.eV/20, # He Ly alpha line energy and width\n", " pars['disk_lum'] * pars['blr_covering'] * 0.5) # [erg/s]\n", "# Convert BLR components to jet frame\n", "blr_to_jet = convert_lum_to_density_in_jet(pars['rdiss'],\n", " pars['lorentz'],\n", " pars['blr_radius']) # erg/s -> GeV/cm3 \n", "blr_to_jet *= u.GeV / u.cm ** 3 / (u.erg / u.s) # give it units\n", "\n", "blr_pho = (disky * 0.01 + hybl + hebl) * blr_to_jet # GeV/cm3\n", "\n", "external_photons += blr_pho\n", "\n", "# Dust torus\n", "torusy = PlanckDistribution(egrid_jetframe / pars['torus_doppler'],\n", " pars['torus_temperature'],\n", " pars['disk_lum'] * pars['torus_covering']) # [erg/s] \n", "# Convert torus emission to jet frame\n", "tor_to_jet = convert_lum_to_density_in_jet(pars['rdiss'],\n", " pars['lorentz'],\n", " pars['torus_radius']) # erg/s -> GeV/cm3 \n", "tor_to_jet *= u.GeV / u.cm**3 / (u.erg/u.s) # give it units\n", "# Add torus to BLR components \n", "torus_pho = torusy * tor_to_jet\n", "external_photons += torus_pho\n", "\n", "# Convert summed up components from energy density to photon density in jet frame\n", "external_photonspectrum = (external_photons / egrid_jetframe).to(u.cm ** -3).value # cm-3\n", "\n", "# Convert photon density to density ijnjection rate\n", "external_photonspectrum /= am3.get_escape_timescale() # cm-3.s-1\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Inject electron, proton and photon arrays defined above into the simulation.\n", "\n", "The next two cells can be re-run with the same kernel to simulate different particle distributions with the same magnetic field." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 188 ms, sys: 10.9 ms, total: 199 ms\n", "Wall time: 213 ms\n" ] } ], "source": [ "%%time\n", "# Reset all particle arrays to zero\n", "am3.clear_particle_densities()\n", "\n", "# Inject cosmic rays and external photons in the simulation\n", "am3.set_injection_rate_electrons(enormalized)\n", "am3.set_injection_rate_protons(pnormalized)\n", "\n", "am3.set_injection_rate_photons(external_photonspectrum)\n", "\n", "# Start the system with correct initial external photon density\n", "# (this should not strongly affect the steady-state result)\n", "am3.set_current_densities_photons(external_photonspectrum * am3.get_escape_timescale())\n", "\n", "saved_photons = am3.get_photons()\n", "\n", "# Plot injection rates\n", "density_injection_rate_to_luminosity = 4 * np.pi / 3 * am3.get_escape_timescale() ** 3 * const.c.cgs.value ** 3 * u.eV.to(u.erg) # eV/cm3-> erg/s\n", "plt.loglog(am3.get_egrid_lep(), am3.get_injection_rate_electrons() * am3.get_egrid_lep() * density_injection_rate_to_luminosity)\n", "plt.loglog(am3.get_egrid_had(), am3.get_injection_rate_protons() * am3.get_egrid_had() * density_injection_rate_to_luminosity)\n", "plt.loglog(am3.get_egrid_photons(), am3.get_injection_rate_photons() * am3.get_egrid_photons() * density_injection_rate_to_luminosity)\n", "plt.axis([1e-7,1e20,1e34,1e45])\n", "plt.xlabel(r'$E^\\prime$ [eV]')\n", "plt.ylabel(r'$E^{\\prime2} dN/dE^\\prime$ [erg]')\n", "plt.title(\"Particle injection\")\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Run simulation" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 694 ms, sys: 9.06 ms, total: 703 ms\n", "Wall time: 353 ms\n" ] } ], "source": [ "%%time\n", "\n", "profiling = []\n", "\n", "time = 0.\n", "while time < 3 * am3.get_escape_timescale(): # Run up to 3x the light-crossing time a\n", " am3.evolve_step() # Evolve solver\n", " time += am3.get_solver_time_step() # Count time\n", " profiling.append(am3.get_profiled_times()) # Add computation times for profiling\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Plot results\n", "\n", "### Particle densities and interaction rates in the source rest frame" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/25/d230kxr90hj414fnx8hg1f_4000956/T/ipykernel_31055/1099422938.py:244: UserWarning: Tight layout not applied. The left and right margins cannot be made large enough to accommodate all Axes decorations.\n", " plt.tight_layout(rect=(0.5,0,1,1))\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mycolors = np.array([np.array([230,159, 0.]),\n", " np.array([ 86,180,233.]),\n", " np.array([ 0,158,115.]),\n", " np.array([240,228, 66.]),\n", " np.array([ 0,114,178.]),\n", " np.array([213, 94, 0.]),\n", " np.array([201,121,176.])])\n", "mycolors *= 1./255\n", "\n", "fig, axs = plt.subplots(3, 1, figsize=(7, 13)) # , gridspec_kw={'width_ratios': [1,1]}\n", "\n", "##############\n", "## Particle densities\n", "##############\n", "\n", "ax1 = axs[0]\n", "plt.sca(ax1)\n", "\n", "\n", "egrid_ele = am3.get_egrid_lep()\n", "egrid_had = am3.get_egrid_had()\n", "\n", "\n", "ele_mass = (const.m_e * const.c ** 2).cgs.to(u.eV).value\n", "pro_mass = (const.m_p * const.c ** 2).cgs.to(u.eV).value\n", "\n", "colors = sns.color_palette(\"hsv\", n_colors=10)\n", "color_ele_primary = colors[-1]\n", "color_ele_secondary = colors[-2]\n", "color_pro = colors[5]\n", "\n", "color_muon = sns.xkcd_rgb['leafy green']\n", "color_pion = colors[-7]\n", "\n", "\n", "plt.loglog(egrid_ele, \n", " am3.get_electrons() * egrid_ele*u.eV.to(u.GeV),\n", " c=mycolors[0],\n", " label='Primary e$^-$')\n", "plt.loglog(egrid_ele, \n", " am3.get_injection_rate_electrons() * egrid_ele*u.eV.to(u.GeV) * am3.get_escape_timescale(), \n", " c=mycolors[0], ls='--',\n", " label='Primary e$^-$ (no cooling)')\n", "plt.loglog(egrid_ele, \n", " am3.get_pairs_photopion() * egrid_ele * u.eV.to(u.GeV), \n", " c=mycolors[3],\n", " label=r'e$^\\pm$ from $\\pi$,$\\mu$ decay')\n", "\n", "plt.loglog(egrid_ele, \n", " am3.get_pairs_bethe_heitler() * egrid_ele * u.eV.to(u.GeV), \n", " c=mycolors[1],\n", " label=r'e$^\\pm$ from $\\rm{p}\\gamma\\rightarrow \\rm{p}\\,\\rm{e}^\\pm$')\n", "\n", "\n", "plt.loglog(egrid_ele, \n", " am3.get_pairs_annihilation() * egrid_ele * u.eV.to(u.GeV), \n", " c=mycolors[2],\n", " label=r'e$^\\pm$ from $\\gamma\\gamma\\rightarrow \\rm{e}^\\pm$')\n", "\n", "\n", "plt.loglog(egrid_had, \n", " am3.get_protons() * egrid_had*u.eV.to(u.GeV) ,\n", " c=mycolors[5],\n", " label='Primary protons')\n", "\n", "plt.loglog(egrid_had, \n", " am3.get_injection_rate_protons() * egrid_had*u.eV.to(u.GeV) * am3.get_escape_timescale(),\n", " c=mycolors[5], \n", " ls='--',\n", " lw=2,\n", " label='Primary protons (no cooling)')\n", "\n", "plt.loglog(egrid_had, \n", " am3.get_pions() * egrid_had * u.eV.to(u.GeV), \n", " c=color_pion, ls='-',\n", " label=r'$\\pi^\\pm$')\n", "\n", "\n", "plt.loglog(egrid_had, \n", " am3.get_muons() * egrid_had * u.eV.to(u.GeV), \n", " c=color_muon, ls='-',\n", " label=r'$\\mu^\\pm$')\n", "\n", "plt.annotate(\"Particle densities\\nJet rest frame\", \n", " (1.5e5,4e2), \n", " fontsize=13, \n", " horizontalalignment='left',\n", " verticalalignment='top')\n", "\n", "plt.legend(loc=(0,0),ncol=1,bbox_to_anchor=(1.03,0),fontsize=13)\n", "plt.xlabel(r\"$E^\\prime$ [eV]\")\n", "plt.ylabel(r\"$E^{\\prime2} dN/dE^\\prime$ [GeV cm$^{-3}$]\")\n", "plt.axis([1e5,1e17,1e-13,1e3])\n", "\n", "\n", "\n", "\n", "##############\n", "## Timescales\n", "##############\n", "\n", "ax2 = axs[1]\n", "plt.sca(ax2)\n", "\n", "\n", "egrid_ele = am3.get_egrid_lep()\n", "egrid_pro = am3.get_egrid_had()\n", "egrid_pho = am3.get_egrid_photons()\n", "\n", "ele_mass = (const.m_e * const.c ** 2).cgs.to(u.eV).value\n", "pro_mass = (const.m_p * const.c ** 2).cgs.to(u.eV).value\n", "\n", "colors = sns.color_palette(\"hsv\", n_colors=10)\n", "color_ele_primary = colors[-1]\n", "color_ele_secondary = colors[-2]\n", "color_pro = colors[5]\n", "\n", "color_muon = colors[-10]\n", "color_pion = colors[-7]\n", "\n", "\n", "plt.loglog(egrid_ele, \n", " am3.get_t_pair_syn(),\n", " c=mycolors[0],\n", " label='e synchrotron')\n", "plt.loglog(egrid_ele, \n", " am3.get_t_pair_compton(), \n", " c=mycolors[0], ls='--',\n", " label='e inverse Compton')\n", "\n", "plt.loglog(egrid_had, \n", " am3.get_t_proton_bethe_heitler(), \n", " c=mycolors[1],\n", " label=r'$\\rm{p}\\gamma\\rightarrow \\rm{p}\\,\\rm{e}^\\pm$')\n", "\n", "plt.loglog(egrid_pho, \n", " am3.get_t_photon_annihilation(), \n", " c=mycolors[2],\n", " label=r'$\\gamma\\gamma\\rightarrow \\rm{e}^\\pm$')\n", "\n", "plt.loglog(egrid_had,\n", " am3.get_t_proton_photopion(), \n", " c=mycolors[3],\n", " label=r'$\\rm{p}\\gamma\\rightarrow \\rm{p}\\pi\\cdots$')\n", "\n", "plt.loglog([egrid_ele[0], egrid_had[-1]], \n", " np.full(2, am3.get_escape_timescale()),\n", " c='k',\n", " lw=0.5,\n", " label=r'Escape ($R_\\mathrm{b}^\\prime/c$)')\n", "\n", "\n", "plt.annotate(\"Interaction timescales\\nJet rest frame\", \n", " (1.5e7,5e11), \n", " fontsize=13,\n", " horizontalalignment='left',\n", " verticalalignment='top')\n", "\n", "plt.legend(loc=(0,0),ncol=1,bbox_to_anchor=(1.03,0),fontsize=13)\n", "plt.xlabel(r\"$E^\\prime$ [eV]\")\n", "plt.ylabel(r\"$t^\\prime$ [s]\")\n", "plt.axis([1e7,1e20,1e1,1e12])\n", "\n", "\n", "##############\n", "## Jet frame SED\n", "##############\n", "\n", "ax3 = axs[2]\n", "plt.sca(ax3)\n", "\n", "\n", "# Energy arrays in source frame\n", "egrid_pho = am3.get_egrid_photons()\n", "egrid_nu = am3.get_egrid_neutrinos()\n", "\n", "# Get individual SED components\n", "\n", "all_nu = am3.get_neutrinos() * egrid_nu * u.eV.to(u.GeV)\n", "external_pho = am3.get_injection_rate_photons() * am3.get_escape_timescale() * egrid_pho * u.eV.to(u.GeV)\n", "injected = am3.get_photons_injected_electrons_syn_compton() * egrid_pho * u.eV.to(u.GeV)\n", "annihil = am3.get_photons_annihilation_pairs_syn_compton() * egrid_pho * u.eV.to(u.GeV)\n", "all_photons = am3.get_photons() * egrid_pho * u.eV.to(u.GeV)\n", "bheitler = am3.get_photons_bethe_heitler_pairs_syn_compton() * egrid_pho * u.eV.to(u.GeV)\n", "pgamma = am3.get_photons_photo_pion_pairs_syn_compton() * egrid_pho * u.eV.to(u.GeV)\n", "pi0decay = am3.get_photons_pi0_decay() * egrid_pho * u.eV.to(u.GeV)\n", "proton_syn_ic = am3.get_photons_protons_syn_compton() * egrid_pho * u.eV.to(u.GeV)\n", "\n", "\n", "# Create plot\n", "\n", "\n", "\n", "# Plot components\n", "plt.loglog(egrid_pho, injected,\n", " c=mycolors[0],\n", " lw=1.7,\n", " label=r'Primary e$^{-}$')\n", "plt.loglog(egrid_pho, bheitler,\n", " c=mycolors[1],\n", " lw=1.7,\n", " label=r'p$\\gamma\\rightarrow$pe$^+$e$^-$')\n", "\n", "plt.loglog(egrid_pho, annihil,\n", " c=mycolors[2],\n", " lw=1.7,\n", " label=r'$\\gamma\\gamma\\rightarrow$e$^+$e$^-$')\n", "plt.loglog(egrid_pho, pgamma,\n", " c=mycolors[3],\n", " lw=1.7,\n", " label=r'p$\\gamma\\rightarrow\\pi\\rightarrow\\mu\\rightarrow$e')\n", "plt.loglog(egrid_pho, proton_syn_ic,\n", " c=mycolors[5],\n", " lw=1.7,\n", " label='Proton syn+IC')\n", "plt.loglog(egrid_pho, pi0decay,\n", " c=sns.xkcd_rgb['navy blue'], \n", " ls=':',lw=1.7,\n", " label=r'$\\pi^0\\rightarrow\\gamma\\gamma$')\n", "\n", "# Plot all-flavor neutrino spectrum\n", "plt.loglog(egrid_nu, all_nu, label=r'$\\nu$ (all flavors)',\n", " lw=1.7, color=sns.color_palette(\"colorblind\",12)[6])\n", "\n", "\n", "# Plot external photons\n", "plt.loglog(egrid_pho, blr_pho, # obs frame, erg/cm2/s\n", " lw=1.7, c='k', ls=':',alpha=0.5,label=r'BLR')\n", "plt.loglog(egrid_pho, torus_pho, # obs frame, erg/cm2/s\n", " lw=1.7, c='k', ls='--',alpha=0.4,label=r'Dust torus')\n", "\n", "plt.xlabel(r\"$E^\\prime$ [eV]\")\n", "plt.ylabel(r\"$E^{\\prime2} dN/dE^\\prime$ [GeV cm$^{-3}$]\")\n", "plt.axis([1e-7,1e17,1e-9,1e2])\n", "\n", "plt.annotate(\"Photon emission\\nJet rest frame\", \n", " (3e-7,6e1), \n", " fontsize=13, \n", " horizontalalignment='left',\n", " verticalalignment='top')\n", "\n", "plt.legend(loc=(1.03,0), fontsize=13,frameon=1,ncol=1)\n", "\n", "plt.tight_layout(rect=(0.5,0,1,1))\n", " \n", "plt.savefig(\"blazar_plots.png\",dpi=300,bbox_inches='tight')\n", "\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multi-wavelength fluxes in the observer's frame, including EBL attenuation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EBL data downloaded from gammapy-extras and saved as data/ebl/ebl_dominguez11.fits.gz\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/am3/lib/python3.12/site-packages/astropy/units/quantity.py:659: RuntimeWarning: divide by zero encountered in divide\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n", "/opt/anaconda3/envs/am3/lib/python3.12/site-packages/astropy/units/quantity.py:659: RuntimeWarning: overflow encountered in exp\n", " result = super().__array_ufunc__(function, method, *arrays, **kwargs)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ##########################################\n", "# Import EBL attenuation cutoff from gammapy\n", "# ##########################################\n", "\n", "# Download data\n", "\n", "import requests\n", "url = 'https://github.com/gammapy/gammapy-extra/raw/master/datasets/ebl/ebl_dominguez11.fits.gz'\n", "\n", "os.makedirs('data/ebl', exist_ok=True)\n", "local_filename = 'data/ebl/ebl_dominguez11.fits.gz'\n", "\n", "response = requests.get(url)\n", "with open(local_filename, 'wb') as f:\n", " f.write(response.content)\n", "\n", "print(f\"EBL data downloaded from gammapy-extras and saved as {local_filename}\")\n", "\n", "# Implement Spectral attenuation model\n", "\n", "from gammapy.modeling.models import (\n", " EBLAbsorptionNormSpectralModel,\n", " Models,\n", " PowerLawSpectralModel,\n", " SkyModel,\n", ")\n", "os.environ[\"GAMMAPY_DATA\"] = \"./data/\"\n", "dominguez = EBLAbsorptionNormSpectralModel.read_builtin(\"dominguez\", redshift=0.)\n", "\n", "# ##################\n", "# Conversion factors\n", "# ##################\n", "\n", "# Jet frame -> obs. frame\n", "energy_conversion = pars['lorentz'] / (1 + pars['z']) \n", "\n", "# erg/cm3, source frame -> erg/cm2/s, obs. frame\n", "lum_dist = cosmo.luminosity_distance(pars['z']).cgs.value\n", "density_to_lum = 4 * np.pi * pars['r_blob'] ** 2 * const.c.cgs.value\n", "lum_to_flux = 1./(4 * np.pi * lum_dist ** 2)\n", "spectrum_conversion = density_to_lum * lum_to_flux * pars['lorentz'] ** 4\n", "\n", "# Energy arrays in source frame\n", "egrid_pho = am3.get_egrid_photons()\n", "egrid_nu = am3.get_egrid_neutrinos()\n", "\n", "# Energy arrays in observer's frame\n", "egrid_pho_obs = egrid_pho * energy_conversion\n", "egrid_nu_obs = egrid_nu * energy_conversion\n", "\n", "# Implement attenuation\n", "atten = dominguez.evaluate(egrid_pho_obs * u.eV, pars['z'], 1.0) \n", "\n", "# ######################################\n", "# Get individual SED components from AM3\n", "# ######################################\n", "\n", "all_nu = am3.get_neutrinos() * egrid_nu * u.eV.to(u.erg) * spectrum_conversion\n", "external_pho = am3.get_injection_rate_photons() * am3.get_escape_timescale() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "injected = am3.get_photons_injected_electrons_syn_compton() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "annihil = am3.get_photons_annihilation_pairs_syn_compton() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "bheitler = am3.get_photons_bethe_heitler_pairs_syn_compton() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "pgamma = am3.get_photons_photo_pion_pairs_syn_compton() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "pi0decay = am3.get_photons_pi0_decay() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "proton_syn_ic = am3.get_photons_protons_syn_compton() * egrid_pho * u.eV.to(u.erg) * spectrum_conversion * atten\n", "\n", "\n", "# ###########\n", "# Create plot\n", "# ###########\n", "\n", "_ = plt.figure(figsize=(7,5))\n", "\n", "mycolors = np.array([np.array([230,159, 0.]),\n", " np.array([ 86,180,233.]),\n", " np.array([ 0,158,115.]),\n", " np.array([240,228, 66.]),\n", " np.array([ 0,114,178.]),\n", " np.array([213, 94, 0.]),\n", " np.array([201,121,176.])])\n", "mycolors *= 1./255\n", "\n", "# Plot components\n", "plt.loglog(egrid_pho_obs, injected,\n", " c=mycolors[0],\n", " lw=1.7,\n", " label=r'Accelerated e$^{-}$')\n", "\n", "plt.loglog(egrid_pho_obs, bheitler,\n", " c=mycolors[1],\n", " lw=1.7,\n", " label=r'p$\\gamma\\rightarrow$pe$^+$e$^-$')\n", "\n", "plt.loglog(egrid_pho_obs, bheitler,\n", " c=mycolors[1],\n", " lw=1.7,\n", " label=r'p$\\gamma\\rightarrow$pe$^+$e$^-$')\n", "\n", "\n", "plt.loglog(egrid_pho_obs, annihil,\n", " c=mycolors[2],\n", " lw=1.7,\n", " label=r'$\\gamma\\gamma\\rightarrow$e$^+$e$^-$')\n", "\n", "\n", "plt.loglog(egrid_pho_obs, pgamma,\n", " c=mycolors[3],\n", " lw=1.7,\n", " label=r'p$\\gamma\\rightarrow\\pi\\rightarrow\\mu\\rightarrow$e')\n", "\n", "plt.loglog(egrid_pho_obs, proton_syn_ic,\n", " c=mycolors[5],\n", " lw=1.7,\n", " label='proton syn+IC')\n", "\n", "# # Gamma rays from pi zeros are attenuated in EBL interactions\n", "# plt.loglog(egrid_pho_obs, pi0decay,\n", "# c='gray', \n", "# ls=':',lw=1.7,\n", "# label=r'$\\pi^0\\rightarrow\\gamma\\gamma$')\n", "\n", "# Plot all-flavor neutrino spectrum\n", "plt.loglog(egrid_nu_obs, all_nu, label=r'$\\nu$',\n", " lw=1.7, color=sns.color_palette(\"colorblind\",12)[6])\n", "\n", "# Plot thermal emission\n", "\n", "ethermal = np.logspace(-3,3,50)\n", "eobs = ethermal / (1 + pars['z'])\n", "disk = ShakuraFlux(ethermal * u.eV, \n", " pars['disk_lum'],\n", " pars['black_hole_mass']\n", " ) * lum_to_flux\n", "\n", "torus = PlanckDistribution(ethermal * u.eV,\n", " 500 * u.K,\n", " pars['disk_lum'] * pars['torus_covering'] * u.erg/u.s\n", " ) * lum_to_flux\n", "\n", "plt.loglog(eobs, disk, color='gray',lw=1.0,label='Disk+torus')\n", "plt.loglog(eobs, torus, color='gray',lw=1.0)\n", "\n", "plt.xlabel(r\"$E$ [eV]\")\n", "plt.ylabel(r\"$\\nu F_\\nu$ / erg cm$^{-2}$ s$^{-1}$\")\n", "plt.axis([1e-6,1e18,1e-16,1e-9])\n", "\n", "plt.annotate(\"PKS 0736+01\", \n", "(5e17,3.5e-10), \n", "fontsize=14, \n", "horizontalalignment='right')\n", "\n", "plt.legend(loc=(-0.1,-0.55), fontsize=13,frameon=1,ncol=3)\n", "\n", "data_x, data_y, data_err, uplims_x, uplims_y = np.load('data/data_pks_0736+01.npy', allow_pickle=1)\n", "\n", "plt.scatter(data_x, data_y, s=5, c='k')\n", "plt.errorbar(data_x, data_y, data_err, ls='none',c='k')\n", "plt.scatter(uplims_x, uplims_y, s=8,c='k',alpha=0.5,marker=\"v\")\n", "\n", "plt.tight_layout()\n", " \n", " \n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Profiling" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# This requires the switch \n", "fig, ax = plt.subplots(figsize=(6,6))\n", "rt_avs = np.median(profiling[3:], axis=0)[:21]\n", "rt_sig = np.std(profiling[3:], axis=0)[:21]\n", "\n", "labels = am3.get_profiled_time_labels()[:21]\n", "ax.errorbar(rt_avs*1e-6, np.arange(21), xerr=rt_sig*1e-6, ls=\"\", marker=\".\")\n", "ax.set_xscale(\"log\")\n", "ax.grid(which=\"minor\", alpha=0.3)\n", "ax.grid(which=\"major\", alpha=1)\n", "ax.set_yticks(np.arange(21))\n", "ax.set_yticklabels(labels, rotation=0)\n", "ax.set_xlabel(\"time in ms\")\n", "ax.set_title(\"computational cost\")\n", "fig.tight_layout()\n", "# fig.savefig(\"computational_cost_psyn.png\", dpi=500)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "am3", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 4 }