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Published online by Cambridge University Press: 21 February 2011
Several authors have modeled the order-disorder transformation as a continuous process, not occurring by nucleation and growth. Their approaches are based either on treating the transformation as a second-order chemical reaction [1,2], or on discrete formulations of the phenomenological diffusion equations [3–8]. Extending the work of Gorsky [9] and of Bragg and Williams [10], Dienes [2] used the chemical reaction model with absolute reaction rate theory to derive numerically the time-dependence of the longrange order parameter. As his thermodynamic model he used the Bragg-Williams (B-W) approximation, assuming that the solid was uniformly ordered and ignoring inhomogeneity effects such as the excess interface and coherency strain energies that arise if antiphase domains exist.