Phase-Field Modeling
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.
Zdrojový záznam
Citácie skopírované doslovne zo zdrojového záznamu metódy. Nevyplýva z nich žiadne overenie na úrovni tvrdenia.
- Cahn, J. W. (1958). Free energy of a nonuniform system: Interfacial free energy. The Journal of Chemical Physics, 28(2), 258-267. · DOI 10.1063/1.1744102
- Ginzburg, V. L., & Landau, L. D. (1950). Theory of superconductivity. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, 20, 1064. · URL
- Wang, S. L., Sekerka, R. F., Wheeler, A. A., Murray, B. T., Coriell, S. R., Braun, R. J., & McFadden, G. B. (2010). Thermodynamically-consistent phase-field models for solidification. Physica D, 69(3-4), 189-200. · DOI 10.1016/0167-2789(93)90189-8
Spracované tvrdenia
Tvrdenia uložené v registri dôkazov, každé s vlastným hodnotením.
Tento pohľad nevymýšľa hodnotenie tvrdenia, ak register žiadne nemá.
Súvisiace metódy
Vygenerované z grafu metód a zobrazené ako vzťahy navrhnuté strojom – nevyplýva z nich žiadne tvrdenie o dôkaze.