Correlated effective field approximation for the dilute Ising ferromagnet

G.Bruce Taggart

Physica A: Statistical Mechanics and its Applications, 1982, vol. 116, issue 1, 34-44

Abstract: A randomly dilute Ising ferromagnet is investigated using a correlated effective field approximation. This approximation explicitly takes into account the pair correlation function between neighboring magnetic atoms. The lattice sites are assumed to be randomly occupied by magnetic and non-magnetic atoms, i.e., there is no chemical short range order. In the zero temperature and zero magnetization limit we obtain estimates for pc, the critical concentration for site percolation. These estimates differ by 2–30% from the results obtained by exact solution and series techniques. The comparable variation for the Bethe approximation is 22–150%. We also obtain values for the nearest neighbor pair correlation function at the percolation threshold.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:116:y:1982:i:1:p:34-44

DOI: 10.1016/0378-4371(82)90229-1

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