Extensive Monte Carlo simulations were made of the correlated parts of the phenomenological coefficients (collective correlation factors) in a random binary alloy in which a monovacancy mechanism operated at a very low vacancy concentration. It was found that results arising from the analytical formalism of Manning were in excellent agreement with the Monte Carlo results over a very wide range of ratios of the atom-vacancy exchange frequencies. It was noted that the expressions for the collective correlation factors, which were derived by using the self-consistent theory of Moleko et al., simplified to exactly the same expressions as those of Manning for the binary alloy. However, in the case of ternary and higher multi-component random alloys, the Moleko formalism provided a different solution to the collective correlation problem.

Collective Diffusion in the Binary Random Alloy. I.V.Belova, G.E.Murch: Philosophical Magazine A, 2000, 80[3], 599-607