Two approaches for the evaluation of collective diffusion correlation factors

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Abstract
The diffusion of probability and matrix methods for calculating collective (and tracer) correlation factors are compared using as an example the random alloy. It is shown that the method of diffusion probability can provide the general behaviour of the structure of the cosines (the cosine of the angle between a given jump of a species and a later jump) and of the summations, while the matrix method can give accurate values of the cosines. Accordingly, in cases of complicated systems and/or lattice structures the procedure of analysis of correlation effects should be a combination of these two methods.