Numerical simulation for α/γ iransformation in Fe-Mn-C system by phase-field model

in Fe-Mn-C system, there is a large difference in mobility of solute Mn and C. Substitutional element Mn diffuses much slower than interstitial element C in Fe. By definition, paraequilibrium means that only the mobile elements are equilibrated while the sluggish ones behave as a single element The alpha/gamma transformation may be under local equilibrium, paraequilibrium, or lying between these two limits. The evolution mode could be determined by die diffusion velocity of solute elements in the matrix in front of the moving interface and the interface migration. Phase-field model could be applicable to these phenomena without any constraints or boundary conditions at the alpha/gamma intern. The objective of this study is to find out a evolution mode for paraequilibrium or full thermodynamic equilibrium by the phase-field model of ternary system.