“…The appeal of the phase-field method is that it uses directly constructed free energy functionals as functions of the "phase-fields" to describe their thermodynamics (equation of state) and use the time-dependent Ginzburg-Landau equation to treat the evolution of the non-conserved phase-fields and the Cahn-Hilliard equation for conserved phase-fields. The phase field model has been used extensively to simulate many microstructural evolution processes including grain growth 13 and Ostwald ripening 14 , gas bubbles in nuclear fuels 15,16 , void ensembles under irradiation 17 , precipitate morphology and evolution in alloys 18 , nucleation and growth near a dislocation 19 , coarsening of precipitates 20 and solidification 21,22 . The phase-field equation of state is a sum of the bulk energy and interfacial energies as a function of all Q phase-fields i integrated over the simulation volume V as…”