Extended Larché–Cahn framework for reactive Cahn–Hilliard multicomponent systems

At high temperature and pressure, solid diffusion chemical reactions between rock minerals lead to phase transformations. Chemical transport during uphill causes separation, that is, spinodal decomposition. Thus, describe the coarsening kinetics of exsolution microstructure, we derive a thermodynamically consistent continuum theory for multicomponent Cahn--Hilliard equations while accounting multiple neglecting deformations. Our approach considers balances microforces augmented by constituent content balance within an extended Larch\'e--Cahn framework. As framework, incorporate into derivatives with respect fields their gradients. We also explain implications resulting constrained gradients in form gradient energy coefficients. Moreover, configurational includes all associated agreement study separation three-component system whose microstructural evolution depends upon reaction-diffusion interactions analyze underlying fields. This simulation portrays interleaving reaction processes how tractions drive motion interfaces.