A tracer representation of the rate coefficient which was involved in the relaxation of diffuse spherical phase/antiphase boundaries in symmetrical B2 binary ordering alloys was presented. By adopting the Allen-Cahn diffusion-reaction phenomenology, but incorporating vacancy kinetics and a Landau driving-force which was based upon the mean curvature and the surface free energy according to Lifshitz, a non-Arrhenius rate-coefficient was obtained. This coefficient was equal to twice the product of the Einstein mobility coefficient and the gradient energy coefficient.

Tracer-Based Representation of the Mobility in a Diffuse Antiphase Boundary J.S.Kirkaldy: Journal of Applied Physics, 1998, 83[11], 5773-8