Figure 1

Schematics of the simulation model, describing droplets and the background field \(\phi _\mathrm{out}\). (A) Droplets co-exist with the background field \(\phi _\mathrm{out}\) and interact with it only through material fluxes. For simplicity, \(\phi _\mathrm{out}\) also exists at the location of the droplets, but this has negligible effect on the dynamics. (B) Isolated droplet (yellow) with a surrounding shell of thickness \(\ell\), which is further discretized in N sectors of linear size \(\Delta s\). The exchange fluxes between droplet and background are determined in each sector based on the equilibrium fraction \(\phi ^\mathrm{eq}_\mathrm{out}\) (red dots) and the value \(\phi _\mathrm{out}^{(m)}\) at the outer side (black dot), which is determined from the background field using bilinear interpolation. The background field \(\phi _\mathrm{out}\) is uniformly discretized on a Cartesian grid (gray grid).