Analytical and numerical modeling of phase coarsening in dense binary systems

The kinetics of phase coarsening in a dense binary, two-phase system were studied theoretically. Existing previous relations are recovered and generalized. Equations for particle size distribution and coarsening are derived in a rigorous way. One of the interesting findings is that the scaling exponent, m, for the kinetics of phase coarsening at ultra high volume fractions takes values in the range 2 < m < 3, depending on the precise volume fraction of the dispersed phase, when varied over the narrow range 0.9 < V-V < 1. Scaled particle size distributions derived from the current study depend on volume fractions, which is in contrast to Wagner's particle size distribution for interface-reaction-controlled phase coarsening. The current work substantiates that the kinetics of phase coarsening at ultra high volume fractions, exhibits a blend of both interface-reaction-controlled and volume diffusion-controlled phase coarsening.

Automated summary

The kinetics of phase coarsening in a dense binary, two-phase system were theoretically studied and existing relations were recovered and generalized. Equations for particle size distribution and coarsening were rigorously derived. An interesting finding is that the scaling exponent, m, for the kinetics of phase coarsening at ultra high volume fractions takes values in the range 2 < m < 3, depending on the precise volume fraction of the dispersed phase, when varied over the narrow range 0.9 < V-V < 1. The particle size distributions derived in this study depend on volume fractions, which is different from Wagner's particle size distribution for interface-reaction-controlled phase coarsening. The current work substantiates that the kinetics of phase coarsening at ultra high volume fractions exhibits a blend of both interface-reaction-controlled and volume diffusion-controlled phase coarsening.