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Phase-Field Models of Solidification



Geoffrey B. McFadden


Phase-field models of solidification are presented in the context of diffuse-interface theories based on conserved and non-conserved Order parameters. Phase-field models for single-component materials are derived, and the sharp interface limits that relate the models to conventional sharp-interface theories are discussed. Numerical calculations of dendritic growth are presented to illustrate the application of these techniques. Phase-field models for binary alloys are also given, with representative numerical calculations. Extensions to phase transitions with hydrodynamic or elastic effects are also given. The ability of diffuse-interface theories to capture interfacial phenomenn such as wetting, adsorption, solute trapping, surface stress, and charged double layers in electrochemical systems are also noted.
Contemporary Mathematics


diffuse interface, phase transitions


McFadden, G. (2002), Phase-Field Models of Solidification, Contemporary Mathematics (Accessed April 22, 2024)
Created November 1, 2002, Updated February 17, 2017