Simulation of multicomponent droplets in 3D

This example shows how to simulate droplets comprising two components.

20 droplets
  0%|          | 0/1000.0 [00:00<?, ?it/s]
Initializing:   0%|          | 0/1000.0 [00:00<?, ?it/s]
  0%|          | 0/1000.0 [00:25<?, ?it/s]
  0%|          | 0.01/1000.0 [00:33<932:41:03, 3357.70s/it]
  0%|          | 0.02/1000.0 [00:33<466:20:29, 1678.86s/it]
  0%|          | 0.13/1000.0 [00:33<71:44:17, 258.29s/it]
  0%|          | 4.92/1000.0 [00:33<1:53:14,  6.83s/it]
  4%|▍         | 39.98/1000.0 [00:33<13:30,  1.19it/s]
 13%|█▎        | 134.33/1000.0 [00:34<03:39,  3.94it/s]
 29%|██▉       | 290.85/1000.0 [00:34<01:24,  8.38it/s]
 49%|████▉     | 491.88/1000.0 [00:35<00:36, 13.86it/s]
 72%|███████▏  | 720.33/1000.0 [00:36<00:14, 19.81it/s]
 96%|█████████▋| 963.11/1000.0 [00:37<00:01, 25.82it/s]
 96%|█████████▋| 963.11/1000.0 [00:37<00:01, 25.72it/s]
100%|██████████| 1000.0/1000.0 [00:37<00:00, 26.71it/s]
100%|██████████| 1000.0/1000.0 [00:37<00:00, 26.71it/s]

import numpy as np

from pde import CartesianGrid, FieldCollection

import emulsim

# set up state
grid = CartesianGrid([[0, 128]] * 3, 1)
fc = FieldCollection.scalar_random_uniform(2, grid, 0.01, 0.05)
background_el = emulsim.FieldCollectionElement.from_fields(fc)
droplet_data = [
    emulsim.MulticomponentDroplet.from_composition(
        position=grid.get_random_point(),
        radius=np.random.uniform(1, 5),
        phis=[0.4, 0.4],
    )
    for _ in range(20)
]
droplets_el = emulsim.MulticomponentDropletsElement.from_droplets(droplet_data)
state = emulsim.State({"background": background_el, "droplets": droplets_el})

# set up simulation
simulation = emulsim.Simulation(state)
droplets_actor = emulsim.MulticomponentDropletActor.from_linear_reactions(
    {
        "chis": [[-1, 0], [0, -1]],  # interactions between internal components
        "chis_solvent": [2.5, 2.5],  # interactions of components with solvent
    },
    rates=np.diag([-0.01, -0.01]),
    production=[0.002, 0.002],
)
simulation.add_actor(("droplets", "background"), droplets_actor)


# run simulation
result = simulation.run(t_range=1000, dt=1e-2)

result.plot(title=f"{result['droplets'].droplet_count} droplets")

Total running time of the script: (0 minutes 37.581 seconds)