diff --git a/doc/source/nb/dev/ExtendedCoolingTail.ipynb b/doc/source/nb/dev/ExtendedCoolingTail.ipynb index f0b166f0e..716c3158d 100644 --- a/doc/source/nb/dev/ExtendedCoolingTail.ipynb +++ b/doc/source/nb/dev/ExtendedCoolingTail.ipynb @@ -10,14 +10,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "18341676-5496-4da6-a722-7e730791387a", "metadata": {}, "outputs": [], "source": [ "from snewpy.models.ccsn import Nakazato_2013\n", "from snewpy.models.extended import ExtendedModel\n", - "from snewpy.neutrino import Flavor, MassHierarchy\n", + "from snewpy.flavor import ThreeFlavor\n", "\n", "from astropy import units as u\n", "\n", @@ -37,10 +37,24 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "5a329b2c-58be-42d5-be06-70d0afebb633", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "{'progenitor_mass': ,\n", + " 'revival_time': ,\n", + " 'metallicity': [0.02, 0.004],\n", + " 'eos': ['LS220', 'shen', 'togashi']}" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "Nakazato_2013.param" ] @@ -57,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "62291165-b6db-4dab-b80a-d45058583a83", "metadata": {}, "outputs": [], @@ -78,10 +92,35 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "a6a5e088-e08f-479d-8b77-d9e902b0bd79", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/markdown": [ + "**Nakazato_2013 Model**: nakazato-shen-z0.02-t_rev100ms-s20.0.fits\n", + "\n", + "|Parameter|Value|\n", + "|:--------|:----:|\n", + "|Progenitor mass | $20$ $\\mathrm{M_{\\odot}}$|\n", + "|Revival time | $100$ $\\mathrm{ms}$|\n", + "|Metallicity | 0.02 |\n", + "|EOS | shen |" + ], + "text/plain": [ + "Nakazato_2013 Model: nakazato-shen-z0.02-t_rev100ms-s20.0.fits\n", + "Progenitor mass : 20.0 solMass\n", + "Revival time : 100.0 ms\n", + "Metallicity : 0.02\n", + "EOS : shen" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "model_params = highZ_models[3]\n", "model = Nakazato_2013(**model_params)\n", @@ -93,81 +132,129 @@ "id": "0adb675d-9aa9-4ecf-80c3-0090d0025137", "metadata": {}, "source": [ - "Plot the model neutrino luminosity versus time." + "Plot the model's neutrino fluxes for E = 20 MeV versus time." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "32e1b658-987b-4053-8caf-f55c8f63b647", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "fig, ax = plt.subplots(1, figsize=(8,6), tight_layout=False)\n", + "energy = 20 * u.MeV\n", + "times = model.get_time()\n", + "spectrum = model.get_initial_spectra(t=times, E=energy)\n", "\n", - "for flavor in Flavor:\n", - " ax.plot(model.time, model.luminosity[flavor]/1e51, # Report luminosity in units foe/s\n", + "fig, ax = plt.subplots(1, figsize=(8,6), tight_layout=False)\n", + "for flavor in ThreeFlavor:\n", + " ax.plot(times, spectrum[flavor].array.squeeze(),\n", " label=flavor.to_tex(),\n", " color = 'C0' if flavor.is_electron else 'C1',\n", " ls = '-' if flavor.is_neutrino else ':',\n", " lw = 2 )\n", "\n", - "ax.set(xlim=(-0.05, 100),\n", - " # xscale='log',\n", + "ax.set(xlim=( (times[0]-0.5*u.s).value , (times[-1]+0.5*u.s).value ),\n", " xlabel=r'$t-t_{\\rm bounce}$ [s]',\n", - " ylabel=r'luminosity [foe s$^{-1}$]',\n", - " yscale='log')\n", + " ylabel=r'flux',\n", + " yscale='log',\n", + " ylim=(1e50,1e57))\n", "ax.grid()\n", "ax.legend(loc='upper right', ncol=2, fontsize=18);" ] }, { "cell_type": "markdown", - "id": "e65d16c1-8d58-47ba-8fcf-0d2f5af658bc", + "id": "8ab065e4-699a-4fa9-a888-f5f677285002", "metadata": {}, "source": [ - "**May 2026: this cell is BROKEN with the error:**\n", - "```\n", - "TypeError: Can't instantiate abstract class ExtendedModel without an implementation for abstract method '_get_initial_spectra_dict'\n", - "```\n", - "**Fix with a new PR**" + "Now make an ExtendedModel from the existing model. The extension follows the prescription found in Li, Roberts abd Beacom, doi:10.1103/physrevd.103.023016. The parameters k, A, tau_c and alpha are parameters for the generaliztion of equation (2) from that paper. A is the normalization: if set to None, the ExtendedModel will compute the appropriate normalaization so that the fluxes are continuous. We shall use the default values for the other paramaters but you might want to play around with them. " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "c25465ef-53be-42e7-ba9d-7b20f47fdaad", "metadata": {}, "outputs": [], "source": [ - "# model_ext = ExtendedModel(model)\n", - "# model_ext.extend(np.logspace(0,2,1000)*u.s)" + "ext_model = ExtendedModel(model, k=-1., A=None, tau_c=36.*u.s, alpha=2.66)" + ] + }, + { + "cell_type": "markdown", + "id": "85aa35d9-2cf1-4caf-8a61-acb2ad4384ea", + "metadata": {}, + "source": [ + "Set up the array of times for the ExtendedModel. In this case we'll extend the model to a time twice as long as the original" ] }, { "cell_type": "code", - "execution_count": null, - "id": "6ffad09c-7472-452f-a596-ee684db735e5", + "execution_count": 7, + "id": "67d224bc-fb09-4366-94db-5230a842a300", "metadata": {}, "outputs": [], "source": [ - "# fig, ax = plt.subplots(1, figsize=(8,6), tight_layout=False)\n", + "ext_times = np.linspace(times[0],2*times[-1],500)" + ] + }, + { + "cell_type": "markdown", + "id": "346a76cc-4ac4-455b-a11d-8c5b06f9f5e6", + "metadata": {}, + "source": [ + "Get the flux for the ExtendedModel again for a neutrino energy of 20 MeV, then plot it" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6ffad09c-7472-452f-a596-ee684db735e5", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ext_spectrum = ext_model.get_initial_spectra(t=ext_times, E=energy)\n", "\n", - "# for flavor in Flavor:\n", - "# # ax.plot(model.time, model.luminosity[flavor]/1e51)\n", - "# ax.plot(model_ext.time, model_ext.luminosity[flavor]/1e51, # Report luminosity in units foe/s\n", - "# label=flavor.to_tex(),\n", - "# color = 'C0' if flavor.is_electron else 'C1',\n", - "# ls = '-' if flavor.is_neutrino else ':',\n", - "# lw = 2 )\n", + "fig, ax = plt.subplots(1, figsize=(8,6), tight_layout=False)\n", + "for flavor in ThreeFlavor:\n", + " ax.plot(ext_times, ext_spectrum[flavor].array.squeeze(),\n", + " label=flavor.to_tex(),\n", + " color = 'C0' if flavor.is_electron else 'C1',\n", + " ls = '-' if flavor.is_neutrino else ':',\n", + " lw = 2 )\n", "\n", - "# ax.set(xlim=(-0.05, 100),\n", - "# # xscale='log',\n", - "# xlabel=r'$t-t_{\\rm bounce}$ [s]',\n", - "# ylabel=r'luminosity [foe s$^{-1}$]',\n", - "# yscale='log')\n", - "# ax.grid()\n", - "# ax.legend(loc='upper right', ncol=2, fontsize=18);" + "ax.set(xlim=( (ext_times[0]-0.5*u.s).value , (ext_times[-1]+0.5*u.s).value ),\n", + " xlabel=r'$t-t_{\\rm bounce}$ [s]',\n", + " ylabel=r'flux',\n", + " yscale='log',\n", + " ylim=(1e50,1e57))\n", + "ax.grid()\n", + "ax.legend(loc='upper right', ncol=2, fontsize=18);" ] } ], @@ -187,7 +274,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.13" + "version": "3.12.7" } }, "nbformat": 4, diff --git a/python/snewpy/models/extended.py b/python/snewpy/models/extended.py index a613dc46e..4813488a0 100644 --- a/python/snewpy/models/extended.py +++ b/python/snewpy/models/extended.py @@ -3,84 +3,78 @@ import numpy as np from astropy import units as u -from snewpy.neutrino import Flavor +from snewpy.flavor import ThreeFlavor from snewpy.models.base import SupernovaModel - class ExtendedModel(SupernovaModel): """Class defining a supernova model with a cooling tail extension.""" - def __init__(self, base_model): + def __init__(self, base_model, k=-1., A=None, tau_c=36. * u.s, alpha=2.66): """Initialize extended supernova model class.""" if not isinstance(base_model, SupernovaModel): raise TypeError("ExtendedModel.__init__ requires a SupernovaModel object") - self.__dict__ = base_model.__dict__.copy() - for method_name in dir(base_model): - if callable(getattr(base_model, method_name)) and method_name[0] != '_': - if method_name == 'get_initial_spectra': - self._get_initial_spectra = getattr(base_model, method_name) - else: - setattr(self, method_name, getattr(base_model, method_name)) - self.t_final = self.time[-1] - self.L_final = {flv: self.luminosity[flv][-1] for flv in Flavor} - - def get_initial_spectra(self, *args, **kwargs): - """Get neutrino spectra/luminosity curves before oscillation""" - return self._get_initial_spectra(*args, **kwargs) + self.base_model = base_model + super().__init__(base_model.time,base_model.metadata) - def get_extended_luminosity(self, t, k=-1., A=None, tau_c=36. * u.s, alpha=2.66, flavor = Flavor.NU_E): - """Get neutrino luminosity from supernova cooling tail luminosity model. + self.k = k + if A is None: + A = 1 / ( self.time[-1]**k * np.exp(-(self.time[-1]/tau_c)**alpha) ) + self.A = A + self.tau_c = tau_c + self.alpha = alpha + def _get_initial_spectra_dict(self, t, E, flavors=ThreeFlavor): + """Get neutrino spectra/luminosity curves before oscillation + Parameters ---------- t : astropy.Quantity - Time to evaluate luminosity. - k : float - Power law factor (default: -1) - A : astropy.Quantity - Normalization factor (default: None, automatically match original model data) - tau_c : astropy.Quantity - Exponential decay characteristic timescale (default: 36 s) - alpha : float - Exponential decay factor (default: 2.66) + Times to add to supernova model. + E : astropy.Quantity + Energies to evaluate the initial spectra. + """ + #convert input arguments to 1D arrays + t = u.Quantity(t, ndmin=1) + E = u.Quantity(E, ndmin=1) + + t_model = t[t <= self.time[-1]] + base_model_spectra = self.base_model._get_initial_spectra_dict(t_model, E) + for flavor in base_model_spectra: + if len(t_model) == 1: + base_model_spectra[flavor] = np.expand_dims(base_model_spectra[flavor], axis=0) + if len(E) == 1: + base_model_spectra[flavor] = np.expand_dims(base_model_spectra[flavor], axis=1) + + # Select times after the end of the model + t_ext = t[t > self.time[-1]] + f_ext = self.get_extended_time_dependence(t_ext) + + array = {} + for flavor in flavors: + extended_model_spectra = np.outer(f_ext , base_model_spectra[flavor][-1,:]) + array[flavor] = np.append(base_model_spectra[flavor],extended_model_spectra,axis=0) + array[flavor] = array[flavor].squeeze() + + return array + + def get_extended_time_dependence(self, times): + """Get time dependence of extended times from supernova cooling tail model. + + Parameters + ---------- + times : astropy.Quantity + Times to evaluate luminosity. Returns ------- astropy.Quantity - Luminosity calculated from cooling tail model. + extended time dependence calculated from cooling tail model. """ - if t.value < 0.5: + if times[0] < 0.5*u.s: warn("Extended luminosity model not applicable to early times") - if A is None: - tf = self.t_final - Lf = self.L_final[flavor] - A = Lf / (tf.value**k * np.exp(-(tf/tau_c)**alpha)) - return A * t.value**k * np.exp(-(t/tau_c)**alpha) + + return self.A * times**self.k * np.exp(-(times/self.tau_c).value**self.alpha) - def extend(self, ts, k=-1., A=None, tau_c=36. * u.s, alpha=2.66): - """Extend supernova model to specific times. - Parameters - ---------- - ts : astropy.Quantity - Times to add to supernova model. - k : float - Power law factor (default: -1) - A : astropy.Quantity - Normalization factor (default: None, automatically match original model data) - tau_c : astropy.Quantity - Exponential decay characteristic timescale (default: 36 s) - alpha : float - Exponential decay factor (default: 2.66) - """ - # Select times after the end of the model - select = ts > self.t_final - for t in ts[select]: - self.time = np.append(self.time, t) - for flavor in Flavor: - L_ext = self.get_extended_luminosity(t, k = k, A = A, tau_c = tau_c, alpha = alpha, flavor = flavor) - self.luminosity[flavor] = np.append(self.luminosity[flavor], L_ext) - self.meanE[flavor] = np.append(self.meanE[flavor], self.meanE[flavor][-1]) - self.pinch[flavor] = np.append(self.pinch[flavor], self.pinch[flavor][-1])