Hi all,
Because my project is about the alloy's clusters which does not change the lattice of matrix, I noticed that cluster expansion can be a convenience tool for my project.
As far as I know, cluster expansion is developed from Ising model, and in Ising model, for each site of lattice, only two state exist: spin up or spin down. Therefore, it is easy to understand that when Ising model is generalised to cluster expansion, it can solve binary-alloy, as element A plays the role of spin up and element B plays the role of spin down.
However, surprisingly, I also find that cluster expansion can solve systems including 3 elements. In binary alloys, the element A can be represent by 1 and element B by -1, thus we obtain a configuration vector {±1, ±1, ...}. But how it works in alloy with 3 elements? Can anyone tell me?
Thanks in advance!
Sincerely,
Yixian
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