Custom star formation history demo

A demo of a rather ridiculous custom star formation history in action.

cogsworth allows you to define custom star formation histories (SFHs) for your Population and are extremely flexible. Here we take that flexibility to the extreme by creating a custom model that produces a galaxy in the shape of a cube with everything formed 42 Myr ago.

You can see in the plot below that the initial positions of the stars are confined to a cube, whilst the final positions are rotated due to the galaxy’s rotation. The colourbar shows the initial azimuthal angle of the stars to highlight this.

Check out the SFH tutorial for more details.

Run for 1000 binaries
Sampled 1346 binaries
[1e-02s] Sample initial binaries
[1.6s] Evolve binaries (run COSMIC)
[4.8s] Integrate galactic orbits (run gala)
Overall: 6.4s

import cogsworth
import matplotlib.pyplot as plt
import numpy as np
import astropy.units as u


class TheCube(cogsworth.sfh.StarFormationHistory):
    def sample(self, size):
        self.draw_lookback_times(size)
        self.draw_positions(size)
        self.get_metallicity()

    def draw_lookback_times(self, size):
        self._tau = np.repeat(42, size) * u.Myr

    def draw_positions(self, size):
        self._x = np.random.uniform(-30, 30, size) * u.kpc
        self._y = np.random.uniform(-30, 30, size) * u.kpc
        self._z = np.random.uniform(-30, 30, size) * u.kpc

    def get_metallicity(self):
        nonsense = np.abs(self._x * self._y * self._z)
        self._Z = (nonsense - nonsense.min()) / nonsense.max()


p_cube = cogsworth.pop.Population(1000, sfh_model=TheCube(), processes=1,
                                  use_default_BSE_settings=True)
p_cube.create_population()

# remove disrupted systems (they go to random locations)
p_cube = p_cube[~p_cube.disrupted]

fig, axes = plt.subplots(1, 2, figsize=(18, 7), sharey=True)
fig.subplots_adjust(wspace=0.1)

# plot initial positions on the left and final positions on the right
scatter = axes[0].scatter(p_cube.initial_galaxy.x, p_cube.initial_galaxy.y,
                          c=p_cube.initial_galaxy.phi.value, cmap="twilight")
scatter = axes[1].scatter(p_cube.final_pos[:, 0], p_cube.final_pos[:, 1],
                          c=p_cube.initial_galaxy.phi.value, cmap="twilight")

# create a colourbar with custom ticks and labels
cbar = fig.colorbar(scatter, label=r"$\phi_{\rm init} \, [rad]$", ax=axes, pad=0.0)
cbar.set_ticks([-np.pi, -np.pi / 2, 0, np.pi / 2, np.pi],
               labels=[r'$-\pi$', r'$-\pi / 2$', "0", r'$\pi / 2$', r'$\pi$'])

for ax in axes:
    ax.set(xlabel=r"Galactocentric $x \, [\rm kpc]$",
           xlim=(-40, 40), ylim=(-40, 40))
axes[0].set_ylabel(r"Galactocentric $y \, [\rm kpc]$")

axes[0].annotate("Initial positions", xy=(0.5, 0.95), xycoords="axes fraction",
                 ha="center", va="top", fontsize=0.7*fs)
axes[1].annotate("Final positions", xy=(0.42, 0.96), xycoords="axes fraction",
                 ha="center", va="top", fontsize=0.7*fs, rotation=12)

axes[1].annotate("TheCube...and it's ROTATING!", xy=(0, 1.05), xycoords="axes fraction",
                 ha="center", va="center", fontsize=fs)

plt.show()