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| CORRELATION OF THE NONLINEAR KINETICS DIFFUSION MODELS IN BINARY NONUNIFORM SYSTEM |
| CAO Baosheng; ZHANG Zhipeng; LEI Mingkai |
| School of Materials Science and Engineering; University of Science and Technology Beijing; Beijing 100083 |
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Cite this article:
CAO Baosheng; ZHANG Zhipeng; LEI Mingkai. CORRELATION OF THE NONLINEAR KINETICS DIFFUSION MODELS IN BINARY NONUNIFORM SYSTEM. Acta Metall Sin, 2008, 44(3): 281-286 .
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Abstract Correlation of the nonlinear kinetic discrete model for diffusion in binary nonuniform system and Fick’s laws and Cahn-Hilliard equation is discussed. The diffusion asymmetry coefficients m’ and the ordering energy V in the nonlinear kinetics discrete model are the main influencing factor due to the strong concentration dependence of the diffusion coefficient in the binary nonuniform system. The concentration profiles of Mo/V multilayers with modulation wavelength 4.8 nm, 9.6 nm and 48 nm were calculated by the nonlinear kinetic discrete model and Cahn-Hilliard equation. It is found that classical diffusion law of Fick’s laws and Cahn-Hilliard equation and the nonlinear kinetic discrete model are valid for description of diffusion for all diffusion scale, whereas error of classical diffusion Law increases gradually with decreasing of diffusion scale, only the nonlinear kinetic discrete model is valid for description of diffusion in nano scale.
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Received: 07 June 2007
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