Kinetics of Order-Disorder

Abstract

Various theoretical models of order-disorder kinetics are presented from a unified point of view. The time evolution of both single-site and pair-site probabilities are derived from a single master equation for the time dependence of configuration probabilities in binary solid solutions. Linearized diffusion equations are solved in the Fourier representation and theoretical predictions are compared to experimental results of disordering kinetics in binary and ternary solid solutions. A nonlinear equation for long-range order kinetics is also derived from the master equation, and compared to the classical theories of Dienes and of Vineyard, and to available experimental data. The phenomenon of critical slowing down and the kinetics of short-range order are briefly covered.KeywordsMaster EquationSpinodal DecompositionAmplification RateTernary Solid SolutionSatellite IntensityThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.