相場模型
相場模型是一種求解界面問題的數學模型，主要用於求解凝固動力學，[1]但也可以應用於其他問題，比如粘性指進、[2] 斷裂動力學、[3] 囊泡動力學[4]、高分子單晶[5]等等。
相場模型迴避了界面處的邊界條件，代之以輔助場（相場）的演化。相場為體系的序參量。相場在兩相取不同的值，在界面附近區域連續地從一相的值變為另一相的值。
參考文獻
- ^ WJ. Boettinger et al. Annual Review of Materials Research Vol. 32: 163-194 (2002)
- ^ R. Folch et al. Phys. Rev. E 60, 1734 - 1740 (1999)
- ^ A. Karma et al. Phys. Rev. Lett. 87, 045501 (2001)
- ^ T. Biben et al. Phys. Rev. E 72, 041921 (2005)
- ^ Dong Wang, Tongfei Shi, Jizhong Chen, Lijia An, Yuxi Jia. Simulated morphological landscape of polymer single crystals by phase field model. THE JOURNAL OF CHEMICAL PHYSICS. November 2008, 129 (19): 194903.
- ^ G.J. Fix, in Free Boundary Problems: Theory and Applications, Ed. A. Fasano and M. Primicerio, p. 580, Pitman (Boston, 1983).
- ^ J.S. Langer, Models of pattern formation in first–order phase transitions, in Directions in Condensed Matter Physics p. 165, Ed. G. Grinstein and G. Mazenko, World Scientific, Singapore, (1986).