“…These applications exploit the fact that in a phase-field model, the interfaces are represented by a thin layer over which the order parameter varies rapidly but continuously. Examples of such processes are surface diffusion and electromigration in crystals and alloys [24,67,21,36,16,8,9], motion of immiscible fluids with free boundaries [35,1,44,18,66], polymer blends [54,34,25], tumour growth models [28,59,51] or lithiation in battery electrodes [55], to name just a few.…”