Particle dissolution and cross-diffusion in multi-component alloys

A general model for the dissolution of stoichiometric particles, taking into account the influences of cross-diffusion, in multi-component alloys is proposed and analyzed using a diagonalization argument. It is shown that particle dissolution in multi-component alloys with cross-diffusion can under certain circumstances be approximated by a model for particle dissolution in binary alloys. Subsequently, the influence of cross-diffusion on particle dissolution rate is analyzed for planar and spherical particles. Further, we show some numerical simulations and conclude that cross-diffusion can be incorporated into multi-component dissolution models.