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• W2153377585 abstract "We calculate equilibrium solutions for Ising spin models on `small world' lattices, which are constructed by super-imposing random and sparse Poissonian graphs with finite average connectivity c onto a one-dimensional ring. The nearest neighbour bonds along the ring are ferromagnetic, whereas those corresponding to the Poisonnian graph are allowed to be random. Our models thus generally contain quenched connectivity and bond disorder. Within the replica formalism, calculating the disorder-averaged free energy requires the diagonalization of replicated transfer matrices. In addition to developing the general replica symmetric theory, we derive phase diagrams and calculate effective field distributions for two specific cases: that of uniform sparse long-range bonds (i.e. `small world' magnets), and that of (+J/-J) random sparse long-range bonds (i.e. `small world' spin-glasses)." @default.
• W2153377585 created "2016-06-24" @default.
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• W2153377585 date "2004-06-10" @default.
• W2153377585 modified "2023-09-27" @default.
• W2153377585 title "Replicated transfer matrix analysis of Ising spin models on small world lattices" @default.
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• W2153377585 doi "https://doi.org/10.1088/0305-4470/37/25/003" @default.
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