Figure 4
Non-linear growth of a single active droplet. Droplet radius R as a function of time t for the continuous model (orange) and the effective droplet model (blue). The continuous model uses a spherically symmetric domain with \(r \in [0, 100 w]\). The effective model uses a 3-dimensional box of size \([- \frac{L}{2}, \frac{L}{2}]^3\) with \(L = 161 w\), \(\Delta x\approx \ell \approx \Delta s \approx R_0 = 20 w\). Model parameters are \(s(\phi )= k \phi (1 - a \phi )\), \(\phi _\mathrm{out}(t=0) = 0.1\), \(k = 10^{-4} \tau ^{-1}\) with \(a = 2\). Remaining parameters are specified in Fig. 2.
