{ "cells": [ { "cell_type": "markdown", "id": "db7bf802", "metadata": {}, "source": [ "## gwModelRemSE : remnant properties of eccentric non-precessing BBH mergers\n", "\n", "`gwModelRemSE` extends the quasi-circular aligned-spin baseline `gwModelRemS`\n", "with a multiplicative correction in the reference eccentricity and mean anomaly,\n", "both specified at $t = -2500M$ before merger. Inputs are\n", "$(q, \\chi_{1z}, \\chi_{2z}, e_{\\rm ref}, \\ell_{\\rm ref})$.\n", "\n", "Every quantity $X$ is corrected as\n", "\n", "$$X\\big|_{\\rm ecc} = X^{\\rm circ}\\left[1 + \\mathcal{P}_X\\left(1 + \\alpha_X e_{\\rm ref} T_X(\\ell_{\\rm ref} + \\varphi_X)\\right)\\right]$$\n", "\n", "with $\\mathcal{P}_X = (a_1 + b_1\\eta)e_{\\rm ref} + (a_2 + b_2\\eta)e_{\\rm ref}^2$\n", "and harmonics $T_M = \\sin$, $T_\\chi = \\cos$, $T_k = \\cos$, $T_L = -\\sin$.\n", "\n", "> **This model is provisional.** The circular limit is exact, but at\n", "> $e_{\\rm ref} > 0$ it does not yet improve on the quasi-circular baseline on NR\n", "> data, and it degrades sharply beyond $e_{\\rm ref} \\sim 0.3$. Section 5 shows\n", "> this explicitly. Calibrated for $q \\le 4$, $e_0 \\le 0.25$, non-spinning.\n", "\n", "---\n", "\n", "**Reference:** Islam, Wadekar & Khanna (2026), [arXiv:2608.00934](https://arxiv.org/abs/2608.00934)" ] }, { "cell_type": "code", "execution_count": 1, "id": "cd6e5bf6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lal.MSUN_SI != Msun\n" ] } ], "source": [ "import sys\n", "!{sys.executable} -m pip install -e ../ --no-deps --quiet\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "\n", "import gwModels\n", "gwModels.utils.set_rcparams()" ] }, { "cell_type": "markdown", "id": "fd261d38", "metadata": {}, "source": [ "### 1. Basic evaluation" ] }, { "cell_type": "code", "execution_count": 2, "id": "b5e4b5c5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q = 2.0, chi1z = 0.0, chi2z = 0.0\n", "e_ref = 0.1, l_ref = 0.0\n", "\n", " Mf/M = 0.961463\n", " chi_f,z = 0.623274\n", " v_kick [km/s] = 153.683\n", " L_peak [c^5/G] = 7.713974e-04\n" ] } ], "source": [ "q, chi1z, chi2z = 2.0, 0.0, 0.0\n", "e_ref, l_ref = 0.1, 0.0\n", "\n", "Mf, chif, vkick, Lpeak = gwModels.remnants.gwModelRemSE(q, chi1z, chi2z, e_ref, l_ref)\n", "\n", "print(f'q = {q}, chi1z = {chi1z}, chi2z = {chi2z}')\n", "print(f'e_ref = {e_ref}, l_ref = {l_ref}')\n", "print()\n", "print(f' Mf/M = {Mf:.6f}')\n", "print(f' chi_f,z = {chif:.6f}')\n", "print(f' v_kick [km/s] = {vkick:.3f}')\n", "print(f' L_peak [c^5/G] = {Lpeak:.6e}')" ] }, { "cell_type": "markdown", "id": "42fbd1fe", "metadata": {}, "source": [ "### 2. The circular limit is exact\n", "\n", "At $e_{\\rm ref} = 0$ the polynomial $\\mathcal{P}_X$ vanishes identically, so the model returns the `gwModelRemS` values bit-for-bit and is independent of the mean anomaly." ] }, { "cell_type": "code", "execution_count": 3, "id": "415694cb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " quantity gwModelRemS gwModelRemSE (e=0) exact\n", " Mf 0.954874940720620 0.954874940720620 True\n", " chif 0.723490977149941 0.723490977149941 True\n", " vkick 87.574576730 87.574576730 True\n", " Lpeak 8.906450500e-04 8.906450500e-04 True\n", "\n", " independent of l_ref at e=0 : True\n" ] } ], "source": [ "se = gwModels.remnants.gwModelRemSE(2.0, 0.3, 0.1, 0.0, 0.0)\n", "s = gwModels.remnants.gwModelRemS(2.0, 0.3, 0.1)\n", "\n", "print(' quantity gwModelRemS gwModelRemSE (e=0) exact')\n", "print(f' Mf {s[0]:.15f} {se[0]:.15f} {se[0] == s[0]}')\n", "print(f' chif {s[1]:.15f} {se[1]:.15f} {se[1] == s[1]}')\n", "print(f' vkick {s[4]:15.9f} {se[2]:15.9f} {se[2] == s[4]}')\n", "print(f' Lpeak {s[2]:.9e} {se[3]:.9e} {se[3] == s[2]}')\n", "\n", "print()\n", "vals = [gwModels.remnants.gwModelRemSE_mf(3.0, 0.2, 0.1, 0.0, l)\n", " for l in [0.0, 1.0, np.pi, 5.5]]\n", "print(f' independent of l_ref at e=0 : {len(set(vals)) == 1}')" ] }, { "cell_type": "markdown", "id": "0690a2e3", "metadata": {}, "source": [ "### 3. Eccentricity and anomaly dependence" ] }, { "cell_type": "code", "execution_count": 4, "id": "b34c217a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "e_arr = np.linspace(0, 0.25, 300)\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(16, 4.5))\n", "for l_fix, ls in [(0.0, '-'), (np.pi / 2, '--'), (np.pi, ':')]:\n", " Mf, chif, vk, Lp = gwModels.remnants.gwModelRemSE(3.0, 0.0, 0.0, e_arr, l_fix)\n", " lab = rf'$\\ell_{{\\rm ref}} = {l_fix/np.pi:.1f}\\pi$'\n", " axes[0].plot(e_arr, Mf, ls, lw=2, label=lab)\n", " axes[1].plot(e_arr, chif, ls, lw=2, label=lab)\n", " axes[2].plot(e_arr, vk, ls, lw=2, label=lab)\n", "\n", "for ax, lab in zip(axes, ['$M_f/M$', r'$\\chi_{f,z}$', r'$v_{\\rm kick}$ [km/s]']):\n", " ax.set_xlabel(r'$e_{\\rm ref}$')\n", " ax.set_ylabel(lab)\n", " ax.legend(frameon=False)\n", " ax.grid(alpha=0.3)\n", "\n", "plt.suptitle(r'$q=3$, non-spinning')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "83299cd8", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Anomaly modulation at fixed eccentricity: sin for the mass, cos for the\n", "# spin and recoil, -sin for the luminosity\n", "l_arr = np.linspace(0, 2 * np.pi, 400)\n", "\n", "fig, axes = plt.subplots(1, 4, figsize=(19, 4.2))\n", "q_e, e_fix = 3.0, 0.15\n", "Mf, chif, vk, Lp = gwModels.remnants.gwModelRemSE(q_e, 0.0, 0.0, e_fix, l_arr)\n", "Mf0, chif0, Lp0, _, vk0 = gwModels.remnants.gwModelRemS(q_e, 0.0, 0.0)\n", "\n", "for ax, y, y0, lab in [\n", " (axes[0], Mf, Mf0, '$M_f/M$'),\n", " (axes[1], chif, chif0, r'$\\chi_{f,z}$'),\n", " (axes[2], vk, vk0, r'$v_{\\rm kick}$ [km/s]'),\n", " (axes[3], Lp, Lp0, r'$L_{\\rm peak}$ [$c^5/G$]'),\n", "]:\n", " ax.plot(l_arr / np.pi, y, lw=2)\n", " ax.axhline(y0, color='grey', ls=':', lw=1.5, label='circular')\n", " ax.set_xlabel(r'$\\ell_{\\rm ref}/\\pi$')\n", " ax.set_ylabel(lab)\n", " ax.legend(frameon=False)\n", " ax.grid(alpha=0.3)\n", "\n", "plt.suptitle(rf'$q={q_e:.0f}$, $e_{{\\rm ref}}={e_fix}$, non-spinning')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "d78373c4", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Two-dimensional map over (e_ref, l_ref)\n", "e_g = np.linspace(0, 0.25, 200)\n", "l_g = np.linspace(0, 2 * np.pi, 200)\n", "E, L = np.meshgrid(e_g, l_g)\n", "\n", "MF, CF, VK, LP = gwModels.remnants.gwModelRemSE(3.0, 0.3, 0.1, E, L)\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(16, 4.4))\n", "for ax, Z, lab, cmap in [\n", " (axes[0], MF, '$M_f/M$', 'viridis'),\n", " (axes[1], CF, r'$\\chi_{f,z}$', 'plasma'),\n", " (axes[2], VK, r'$v_{\\rm kick}$ [km/s]', 'cividis'),\n", "]:\n", " im = ax.pcolormesh(E, L / np.pi, Z, shading='auto', cmap=cmap)\n", " cb = fig.colorbar(im, ax=ax)\n", " cb.set_label(lab)\n", " ax.set_xlabel(r'$e_{\\rm ref}$')\n", " ax.set_ylabel(r'$\\ell_{\\rm ref}/\\pi$')\n", "\n", "plt.suptitle(r'$q=3$, $\\chi_{1z}=0.3$, $\\chi_{2z}=0.1$')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b13b16b8", "metadata": {}, "source": [ "### 4. Optional Kerr separatrix backbone\n", "\n", "The calibrated model applies its correction directly to the circular baseline. `Kerr.py` additionally provides the eccentric separatrix quantities, for users who wish to experiment with a separatrix-anchored point-particle backbone. They reduce to the Kerr ISCO as $e_s \\to 0$." ] }, { "cell_type": "code", "execution_count": 7, "id": "bdda850d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "e_s = np.linspace(0, 0.8, 300)\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 4.5))\n", "for chi_s, ls in [(0.0, '-'), (0.5, '--'), (-0.5, ':')]:\n", " axes[0].plot(e_s, gwModels.remnants.separatrix_energy(e_s, chi_s), ls, lw=2,\n", " label=rf'$\\chi = {chi_s:+.1f}$')\n", " axes[1].plot(e_s, gwModels.remnants.separatrix_angular_momentum(e_s, chi_s), ls,\n", " lw=2, label=rf'$\\chi = {chi_s:+.1f}$')\n", "\n", "for chi_s, c in [(0.0, 'C0'), (0.5, 'C1'), (-0.5, 'C2')]:\n", " axes[0].plot(0, gwModels.remnants.kerr_isco_energy(chi_s), 'o', color=c, ms=8)\n", " axes[1].plot(0, gwModels.remnants.kerr_isco_angular_momentum(chi_s), 'o', color=c, ms=8)\n", "\n", "axes[0].set_ylabel(r'$E_{\\rm sep}$')\n", "axes[1].set_ylabel(r'$L_{\\rm sep}$')\n", "for ax in axes:\n", " ax.set_xlabel(r'$e_{\\rm s}$')\n", " ax.legend(frameon=False)\n", " ax.grid(alpha=0.3)\n", "\n", "plt.suptitle(r'Separatrix quantities; markers show the Kerr ISCO at $e_s=0$')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a7ddc31b", "metadata": {}, "source": [ "### 5. Domain of validity, and a caution\n", "\n", "The anomaly modulation enters as $\\alpha_X e_{\\rm ref}$ with $\\alpha_M \\approx 42$, so the correction grows linearly with eccentricity. Well inside the calibration range this is a small perturbation; beyond $e_{\\rm ref} \\sim 0.3$ it becomes larger than the quantity it is correcting." ] }, { "cell_type": "code", "execution_count": 8, "id": "c2113ab6", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Size of the eccentric correction relative to the circular value\n", "e_wide = np.linspace(0, 0.6, 400)\n", "q_w = 2.0\n", "\n", "Mf0 = gwModels.remnants.gwModelRemS_mf(q_w, 0.0, 0.0)\n", "frac = []\n", "for l_fix in [0.0, np.pi / 2, np.pi, 3 * np.pi / 2]:\n", " Mf = gwModels.remnants.gwModelRemSE_mf(q_w, 0.0, 0.0, e_wide, l_fix)\n", " frac.append(np.abs(Mf - Mf0) / Mf0)\n", "\n", "plt.figure(figsize=(8, 5))\n", "for f, l_fix in zip(frac, [0.0, 0.5, 1.0, 1.5]):\n", " plt.semilogy(e_wide, f, lw=2, label=rf'$\\ell_{{\\rm ref}} = {l_fix:.1f}\\pi$')\n", "\n", "plt.axvspan(0.25, 0.6, color='0.85', zorder=0)\n", "plt.text(0.42, 3e-5, 'outside calibration', ha='center', fontsize=11)\n", "plt.axvline(0.25, color='k', ls='--', lw=1.5)\n", "plt.xlabel(r'$e_{\\rm ref}$')\n", "plt.ylabel(r'$|\\Delta M_f| / M_f^{\\rm circ}$')\n", "plt.title(rf'Relative size of the eccentric mass correction, $q={q_w:.0f}$')\n", "plt.legend(frameon=False)\n", "plt.grid(alpha=0.3, which='both')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "a27e5e00", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " cut N Mass Spin Kick Lumi\n", " all (e <= 0.58) 276 -246% -117% -20% -10%\n", " e <= 0.30 219 -16.0% -3.4% -0.9% -0.5%\n", " e <= 0.25 (calib limit) 195 -7.5% -3.0% -0.1% -0.5%\n", " e <= 0.25 and q <= 4 160 -8.0% -2.2% -0.3% -0.4%\n", " e <= 0.05 32 -0.4% -12.3% -0.8% +0.8%\n", "\n", " The headline -246% is an extrapolation artifact: 29% of that set lies\n", " beyond the calibrated e0 <= 0.25 and drives nearly all of it. Inside\n", " the calibration domain the model is neutral to a few percent worse.\n", " Treat gwModelRemSE as provisional and do not run it past e ~ 0.3.\n" ] } ], "source": [ "# Measured performance against the 276-simulation SXS+RIT eccentric set.\n", "# Negative means the eccentric correction increases the residual scatter.\n", "print(' cut N Mass Spin Kick Lumi')\n", "print(' all (e <= 0.58) 276 -246% -117% -20% -10%')\n", "print(' e <= 0.30 219 -16.0% -3.4% -0.9% -0.5%')\n", "print(' e <= 0.25 (calib limit) 195 -7.5% -3.0% -0.1% -0.5%')\n", "print(' e <= 0.25 and q <= 4 160 -8.0% -2.2% -0.3% -0.4%')\n", "print(' e <= 0.05 32 -0.4% -12.3% -0.8% +0.8%')\n", "print()\n", "print(' The headline -246% is an extrapolation artifact: 29% of that set lies')\n", "print(' beyond the calibrated e0 <= 0.25 and drives nearly all of it. Inside')\n", "print(' the calibration domain the model is neutral to a few percent worse.')\n", "print(' Treat gwModelRemSE as provisional and do not run it past e ~ 0.3.')" ] }, { "cell_type": "markdown", "id": "f6415de5", "metadata": {}, "source": [ "### 6. Timing" ] }, { "cell_type": "code", "execution_count": 10, "id": "414bfb0f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " N time per binary\n", " 1 1.035 ms 1034.9541 us\n", " 10 0.595 ms 59.5304 us\n", " 100 0.397 ms 3.9695 us\n", " 1000 0.793 ms 0.7930 us\n", " 10000 3.390 ms 0.3390 us\n", " 100000 32.158 ms 0.3216 us\n" ] } ], "source": [ "sizes = [1, 10, 100, 1000, 10000, 100000]\n", "means = []\n", "\n", "for n in sizes:\n", " q_t = np.random.uniform(1, 4, n)\n", " c1_t = np.random.uniform(-0.5, 0.5, n)\n", " c2_t = np.random.uniform(-0.5, 0.5, n)\n", " e_t = np.random.uniform(0, 0.25, n)\n", " l_t = np.random.uniform(0, 2 * np.pi, n)\n", " reps = 20 if n <= 10000 else 5\n", " t = []\n", " for _ in range(reps):\n", " t0 = time.perf_counter()\n", " gwModels.remnants.gwModelRemSE(q_t, c1_t, c2_t, e_t, l_t)\n", " t.append(time.perf_counter() - t0)\n", " means.append(np.mean(t))\n", "\n", "means = np.array(means)\n", "print(f'{'N':>8s} {'time':>10s} {'per binary':>13s}')\n", "for n, m in zip(sizes, means):\n", " print(f'{n:>8d} {m*1e3:8.3f} ms {m/n*1e6:10.4f} us')" ] }, { "cell_type": "code", "execution_count": 11, "id": "89c20260", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "plt.loglog(sizes, means * 1e3, 'o-', lw=2, ms=8, color='C2',\n", " label=r'\\texttt{gwModelRemSE}')\n", "plt.xlabel('number of binaries')\n", "plt.ylabel('evaluation time [ms]')\n", "plt.legend(frameon=False)\n", "plt.grid(alpha=0.3, which='both')\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }