Disordered magnetic lattice gas: Gaussian probability distributions and the limit of infinitely-long-ranged interactions

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Abstract
The disordered magnetic lattice gas (DMLG) is solved in analytical form for infinitely-long-ranged interactions with Gaussian distributions. General simultaneous equations are derived for the four appropriate order parameters. The thermodynamic potential is exhibited. In the limit where all the lattice sites are occupied by spins, i.e., in the standard disordered spin system, it is shown that our general simultaneous equations reduce to the well-known spin-glass equations. Several specific cases of the general solution for the DMLG are studied and the results suggest the possibility of interesting new physical states of matter.

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