The relationship between physical correlation and tracer correlation in a random alloy and their bearing on the site percolation problem were discussed. Four Monte Carlo schemes were described for the calculation of the tracer and physical (vacancy) correlation factors. Results for the latter in the fcc lattice were shown to be in excellent agreement with Manning's theory for concentrations greater than 0.4 of the mobile component. Below that concentration there was a slight deviation as the simulated and predicted vacancy correlation factors tended to zero at slightly different percolation thresholds. The site percolation threshold was determined to be 0.198 plus or minus 0.004, in excellent agreement with previous Monte Carlo studies.

Diffusion, Correlation, and Percolation in a Random Alloy. G.E.Murch, S.J.Rothman: Philosophical Magazine A, 1981, 43[1], 229-38