Abstract
A generalization of the pair-cluster (PC) approximation in the theory of disordered systems to multicomponent alloys is proposed. It is shown that phase equilibrium boundaries (binodals) calculated in the mean-field (MF) approximation, which is used in standard calculations of phase diagrams by the CALPHAD method, coincide with the results of rigorous calculations for dilute alloys; however, the application of these methods to calculating the boundaries of the stability region with respect to the decomposition of an alloy (spinodals) leads to large errors. At the same time, in the PC approximation, the description of all statistical properties, including binodals and spinodals, turns out to be exact for dilute alloys. The methods developed are illustrated by an example of iron-copper-manganese ternary alloys.
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Original Russian Text © V.G. Vaks, I.A. Zhuravlev, K.Yu. Khromov, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 138, No. 5, pp. 902–920.
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Vaks, V.G., Zhuravlev, I.A. & Khromov, K.Y. Calculation of binodals and spinodals in multicomponent alloys by different statistical methods with application to iron-copper-manganese alloys. J. Exp. Theor. Phys. 111, 796–813 (2010). https://doi.org/10.1134/S1063776110110117
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DOI: https://doi.org/10.1134/S1063776110110117