مقایسهٔ روش‌ها

	Phase-Field Modeling	CALPHAD	دینامیک مولکولی
حوزه	علم مواد	علم مواد	علم مواد
خانواده	Process / pipeline	Process / pipeline	Process / pipeline
سال پیدایش	1958	1970	1957
پدیدآور	John W. Cahn	Larry Kaufman	Alder and Wainwright
نوع	Simulation method	Computational method	Simulation method
منبع بنیادین	Cahn, J. W. (1958). Free energy of a nonuniform system: Interfacial free energy. The Journal of Chemical Physics, 28(2), 258-267.	Kaufman, L., & Bernstein, H. (1970). Computer Calculation of Phase Diagrams. Academic Press.	Alder, B. J., & Wainwright, T. E. (1957). Phase transition for a hard sphere system. The Journal of Chemical Physics, 27(5), 1208-1209.
نام‌های دیگر	phase-field method, diffuse interface method	CALPHAD method, computational thermodynamics	MD simulation, molecular dynamics simulation, atomistic simulation
مرتبط	3	3	3
خلاصه	Phase-Field Modeling (PFM) is a continuum computational method for simulating microstructure evolution, phase transitions, and interfacial dynamics without explicitly tracking moving boundaries. Developed from Cahn-Ginzburg-Landau theory in the 1950s, PFM represents distinct phases through continuous order parameters that vary smoothly over diffuse interfaces. This approach elegantly handles topological changes (nucleation, coalescence, pinch-off), complex interface geometries, and strongly coupled multiphysics. It is the dominant method for studying dendritic growth, spinodal decomposition, grain evolution, and reactive transport in materials science.	CALPHAD (CALculation of PHAse Diagrams) is a computational method for predicting thermodynamic equilibrium properties and phase diagrams of multicomponent alloys. Pioneered by Larry Kaufman in 1970, CALPHAD combines experimental and computational data to assess thermodynamic properties of phases and subsequently predict equilibrium conditions. It is the standard methodology in physical metallurgy and materials design for alloy development, process optimization, and understanding phase stability.	Molecular Dynamics (MD) is a computational technique that simulates the motion of atoms and molecules by solving Newton's equations of motion under specified forces. Pioneered by Alder and Wainwright in 1957, MD integrates time-dependent atomic trajectories from initial positions, allowing prediction of material properties, phase transitions, and dynamic behavior. It bridges the gap between quantum mechanics (which determines interatomic forces) and macroscopic phenomena (accessible only through experiment), enabling study of timescales from femtoseconds to microseconds and length scales from angstroms to hundreds of nanometers.