Abstract
The analysis is conducted within the framework of isotropic isobaric-isothermal diffusion in a two-component, single-phase diffusional region for a nonideal solution with an atomic volume depending on the composition. The analysis is devoted to: a) systematizing the determination of the diffusion coefficients and the expressions for the diffusional fluxes of material resulting from a multiplicity of means of expressing the composition of the system; b) deriving different forms of the diffusion equation form the continuity equation and determining their realms of applicability; c) generalizing the Darken equation for a system with an atomic volume that depends on the composition; d) determining the conditions of compatability of the parallel and “competing” methods of outlining the phenomenological theory of diffusion that exist in the literature.
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Literature cited
L. D. Landau and E. M. Lifschitz, Mechanics of Continuous Media [in Russian], GITTL, Moscow (1944), p. 386.
A. A. Akopyan, Chemical Thermodynamics [in Russian], Vysshaya Shkola, Moscow (1963).
Yu. I. Paskal', Thermodynamics and Kinetics of Phase Transitions [in Russian], Izd. Tomsk. Univer., Tomsk (1977).
K. P. Gurov (ed.), Mutual-Diffusion Processes [in Russian], Nauka, Moscow (1973).
C. Matano, Jpn. J. Phys.,8, 109 (1933).
R. L. Fogel'son, “Change in atomic volumes in heterodiffusion,” in: Structure Physics and the Properties of Solids. Interuniversity Collection [in Russian], Kuibyshev (1976).
J. Cranck, Mathematics of Diffusion, Clarendon Press, Oxford (1956).
R. W. Balluffi, Scta Met., 4 (1962).
V. F. Sauer and V. Freise, Z. Elektrochem.,66, 4 (1962).
A. G. Gue, P. T. De Hoff, and S. B. Smith, Trans. ASM,61, No. 2, 314 (1968).
L. S. Darken, Trans. AIME,175, 184 (1948).
A. G. Gue, Z. Metallkunde,58, No. 3, 164 (1967).
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Translated from Izvestiya Vysshikh Uchebnyk Zavedenii, Fizika, No. 6, pp. 63–68, June, 1981.
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Borisov, S.S., Paskal', Y.I. Analysis of diffusional flows. Soviet Physics Journal 24, 539–543 (1981). https://doi.org/10.1007/BF00892953
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DOI: https://doi.org/10.1007/BF00892953