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The decomposition kinetics of a solid-solution into separate phases areanalyzed with an equation of motion initially developed to account fordissipative processes in quantum systems. This equation and thesteepest-entropy-ascent quantum thermodynamic framework of which it is a partmake it possible to track kinetic processes in systems in non-equilibrium,while retaining the framework of classical equilibrium thermodynamics. Thegeneral equation of motion is particularized for the case of the decompositionof a binary alloy, and a solution model is used to build an approximate energyeigenstructure, or pseudo-eigenstructure, for the alloy system. This equationis then solved with the pseudo-eigenstructure to obtain a unique reaction pathand the decomposition kinetics of the alloy. For a hypothetical solid-solutionwith a miscibility gap at low temperatures, the conditions under which thisframework predicts a continuous transformation path (spinodal decomposition) ora discontinuous one (nucleation and growth) are demonstrated.

physical review. e

Kinetic Pathways of Phase Decomposition Using Steepest-Entropy-Ascent  Quantum Thermodynamics Modeling. Part I: Continuous and Discontinuous  Transformations