Abstract
Models of random systems whose Hamiltonian reads\(H_\Lambda = - \tfrac{1}{2}\sum\limits_{i,j \in \Lambda } {J_{ij} S_i S_j } \), where\(S_i = \pm 1, J_{ij} = \frac{1}{{\# \Lambda }}(J_0 + \bar \xi _i Q\bar \xi _j + \bar L(\bar \xi _i + \bar \xi _j ), \bar \xi _i = (\bar \xi _{i1} ,...,\bar \xi _{in} )\) andξ iμ ,μ=1,...,n are independent, identically distributed random variables are discussed.J ij are assumed to be symmetric, with respect toJ 0, random variables and also symmetric functions of components of\(\bar \xi _i \). A question of dependence of a phase diagram on a probability distribution of\(\bar \xi _i \) is addressed. A class of distributions and interactionsJ ij , which give rise to phase diagrams called typical is selected. Then a problem of obtaining typical phase diagrams, containing a certain region with an infinite number of pure phases, is studied.
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Jedrzejewski, J., Komoda, A. On equivalent-neighbour, random site models of disordered systems. Z. Physik B - Condensed Matter 63, 247–257 (1986). https://doi.org/10.1007/BF01309245
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DOI: https://doi.org/10.1007/BF01309245