Spin Ising transcription of a lattice model of micellar solutions

It is pointed out that the spin-1 Hamiltonian H=-J J〈ij〉 Sᵢ{S}ⱼ$-K ${J}〈ij〉$ ${S}ᵢ²Sⱼ²-C J〈ij〉 (Sᵢ²{S}ⱼ$+${S}ᵢSJ²)+{Δ} Jᵢ Sᵢ² with staggered field C represents the Widom-type lattice mixture of bifunctional molecules ab and AA with finite interactions. The structure of the mean-field phase behavior of the model micellar solution is provided partially by that of the symmetrical section of Griffiths's three-component model.