قارن الطرق

	نمذجة المجال الطوري (Phase-Field Modeling - PFM)	الديناميكا الجزيئية
المجال	علم المواد	علم المواد
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1958	1957
صاحب الطريقة	John W. Cahn	Alder and Wainwright
النوع	Simulation method	Simulation method
المصدر التأسيسي	Cahn, J. W. (1958). Free energy of a nonuniform system: Interfacial free energy. The Journal of Chemical Physics, 28(2), 258-267.	Alder, B. J., & Wainwright, T. E. (1957). Phase transition for a hard sphere system. The Journal of Chemical Physics, 27(5), 1208-1209.
الأسماء البديلة	phase-field method, diffuse interface method	MD simulation, molecular dynamics simulation, atomistic simulation
ذات صلة	3	3
الملخص	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.	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.