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The kinetics of ordering and concurrent ordering and clustering is analyzedwith an equation of motion initially developed to account for dissipativeprocesses in quantum systems. A simplified energy eigenstructure, orpseudo-eigenstructure, is constructed from a static concentration wave methodto describe the configuration-dependent energy for atomic ordering andclustering in a binary alloy. This pseudo-eigenstructure is used in conjunctionwith an equation of motion that follows steepest entropy ascent to calculatethe kinetic path that leads to ordering and clustering in a series ofhypothetical alloys. By adjusting the thermodynamic solution parameters, it isdemonstrated that the model can predict the stable equilibrium state as well asthe unique thermodynamic path and kinetics of continuous/discontinuous orderingand concurrent processes of simultaneous ordering and phase separation.

Kinetic Pathways of Phase Decomposition Using Steepest-Entropy-Ascent Quantum Thermodynamics Modeling. Part II: Phase Separation and Ordering