Mass conservational equations at the solid-liquid interface and self-organization model of some growth layers
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Equations of interface mass conservation of nonsteady-state crystalline growth process are established. These equations provide a basic mathematical model for the strict treatment of the non-equilibrium and nonlinear problems in the formation of crystalline growth layers. A kinetic model is built of nonlinear self-catalytic crystalline reaction for the formation of impurity growth layer in flux single crystalline growth. Discussion is made, from the formation of self-organization pattern, on some origins of growth layers that are difficult to explain by existing theories.
Keywordscrystal growth mass conservational equations growth layer self-organization
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- 1.Min Naiben,Physical Basis of Crystal Growth (in Chinese), Shanghai: Shanghai Science and Technology Publishing House, 1982.Google Scholar
- 2.Zhang Kecong, Zhang Lebui,Crystal Growth (in Chinese), Beijing: Science Press, 1981, 327–329.Google Scholar
- 3.Carruthers, J. R., Witt, A. F., Transient segregation effects in Czochralski growth, inCrystal Growth and Characterization (eds. Ueda, R., Mullin, J. B.), Amsterdam: North Holland, 1975, 107.Google Scholar
- 4.Zhang Jinyan,Geometric Theory and Branching Problem of Ordinary Differential Equation (revised, in Chinese), Beijing: Peking University Press, 1987.Google Scholar
- 5.Feng Duan, ed.,Metal Physics (in Chinese), Vol. 2,Phase Change, Beijing: Science Press, 1990, 283.Google Scholar