Abstract
The relationship between physical correlation and tracer correlation in a random alloy and their bearing on the site percolation problem are discussed. Four Monte Carlo schemes are described for the calculation of the tracer and physical (vacancy) correlation factors. Results for the latter in the f.c.c. lattice are shown to be in excellent agreement with Manning's theory for concentrations greater than 0.4 of the mobile component. Below that concentration there is a slight deviation as the simulated and predicted vacancy correlation factors tend to zero at slightly different percolation thresholds. The site percolation threshold is determined to be 0·198 ± 0·004, in excellent agreement with previous Monte Carlo studies.