Self-consistent kinetic theory and the Manning theory of matter transport in a random alloy

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Abstract
A method for the self-consistent decoupling of many-body kinetic equations was applied by Holdsworth and Elliott (1986) to the study of the incoherent scattering function and tracer diffusion coefficients arising from vacancy transport in a multicomponent random lattice gas. The principle of this method is applied here to calculate from linear response formulae the phenomenological atomic transport coefficients Lxy as defined in non-equilibrium thermodynamics. The results at very low vacancy concentrations are the same as those of the Manning (1971) theory of the random alloy but results at higher vacancy constants cannot be obtained without some additional assumption.