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Mesoscopic phase transitions and the critical behavior of nanostructured materials are summarized for three-dimensional systems (1) of simple particles starting from grains of fcc or hcp and two-dimensional spin-particle systems (2), and generalized q-state (q=3,4) Potts-spin systems (3), interacting magnetoelastically. The interactions are taken into account up to the third nearest neighbors of the...
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