The motion of a phase boundary, under the influence of binary reaction-diffusion, was described by the flux equation, JAB-JBA = (CAB-CBA)v. When J was identical with the flux which was defined by Fick's first law, the boundary could not move. Fluxes relative to the phase boundary were introduced as an alternative. Interfacial reaction and local equilibrium, as non-equilibrium phenomena, were considered with regard to the flux balance at the phase boundary. Interfacial reaction tended to cause a boundary migration which was controlled by diffusion. The migration depended upon the magnitude of the free-energy difference which developed at the boundary. In certain cases, the boundary could move under the influence of a local equilibrium state at the boundary; without interfacial reaction. The movement arose from the Kirkendall effect.
Interfacial Reaction and Local Equilibrium for Moving Phase Boundary due to Binary Reaction Diffusion M.Onishi, C.G.Lee, J.H.Yoon, T.Shimozaki: Journal of the Japan Institute of Metals, 1998, 62[6], 505-9