Phase-Field Model
The phase-field model was developed around 1978 by J. Langer at CMU as a computational technique to solve Stefan problems for a pure material. The model combines ideas from:
•Van der Waals (1893)
•Korteweg (1901)
•Landau-Ginzburg (1950)
•Cahn-Hilliard (1958)
•Halperin, Hohenberg & Ma (1977)
Other diffuse interface theories:
The enthalpy method
(Conserves energy)
The Cahn-Allen equation
(Includes capillarity)