Abstract
A method is considered for study of diffusion in the solid phase, free of the shortcomings of Fick's equations. For the stationary case analytical expressions are obtained for the probability of transmission, reflection, and absorption of diffusing particles by a layer of specified thickness. Principles are formulated for reduction of the nonstationary problem to the stationary case. The results obtained are applied to a study of the kinetics of oxidation processes. A generalization of Fick's first law to the nonstationary case is presented.
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B. I. Boltaks, Diffusion in Semiconductors and Point Defects [in Russian], Vol. 1, Nauka, Moscow (1973).
A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1966).
G. Dech, Handbook for Practical Application of Laplace Transforms [in Russian], Fizmatgiz, Moscow (1960).
V. A. Ditkin and A. P. Prudnikov, Operational Calculation [in Russian], Vysshaya Shkola, Moscow (1975).
N. A. Kolobov and M. M. Samokhvalov, Diffusion and Oxidation of Semiconductors [in Russian], Metallurgiya, Moscow (1975).
J. Manning, Kinetics of Atomic Diffusion in Crystals [Russian translation], Mir, Moscow (1971).
J. Mikusinski, Operational Calculation, Pergamon (1969).
G. B. Fedorov and E. A. Smirnov, Metallurgy and Thermal Processing [in Russian], Vol. 8, Itogi Nauki Tekh., Moscow (1974).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 31–36, April, 1979.
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Rymkevich, P.P., Korshunov, V.S. Phenomenological diffusion laws in solids. Soviet Physics Journal 22, 365–370 (1979). https://doi.org/10.1007/BF00895653
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DOI: https://doi.org/10.1007/BF00895653