Figure 1.

(a) Representation of the crystal structure in the phase-field model for a realistic, faceted morphology. The $\phi$ function is shown in a {$11\overline{2}$} cross section. The inset shows the adaptively refined mesh along with the contour line of the crystal surface ($\phi$ = 0.5). Colour map of (b) the adatom lifetime $\tau \left(\widehat{\mathbf{n}}\right)$ and of (c) the chemical potential $\mu$ on the crystal surface, with the white arrows showing the diffusion direction of the material along the surface. A schematic representation of the flux distribution is also reported.