Abstract

Interesting complex systems with magnetic shape-memory functions, like Ni 2 + x Mn 1 - x Ga, are considered, which appear as cooperative phenomena between ferromagnetic and structural phase transitions. Mesoscopic phase transitions and critical behavior in single crystals of these alloys are derived by mean-field theory. By renormalization theories, taking into account the distributions of polycrystalline boundaries and excess Ni atoms as randomly extended defects, we discuss the critical behavior of the first- and the second-order phase transitions and the tricritical behavior of the polycrystalline systems. Their characteristics are concluded from a mesoscopic point of view of nanostructured systems.

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