Fractional kinetics of subdiffusion-limited decomposition of a supersaturated solid solution

Precipitation of atoms and defects can substantially change mechanical, electrical and optical properties of materials. Its kinetics is usually described by some model of diffusion-limited process. Evidence of anomalous diffusion of impurities and defects in disordered solids stimulates to develop generalized models. In present work, we study the kinetics of subdiffusion-limited growth and dissolution of nanoprecipitates in disordered solids on the base of subdiffusion equations with fractional derivatives. Analytical results are compared with Monte Carlo simulation data. Foundation of the fractional model of subdiffusion-limited Ostwald ripening is proposed.