Defect-induced melting and solid-state amorphization

Mathematics – Logic

Scientific paper

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Amorphous Materials, Crystal Defects, Crystal Lattices, Melting, Order-Disorder Transformations, Glass Transition Temperature, Phase Diagrams, Solid Phases, Thermal Stability

Scientific paper

A model of melting is presented which is driven by the incorporation into the lattice of randomly frozen-in defects. An isentropic condition limits the stability of the crystal as a function of defect concentration; above the glass transition temperature the crystal melts to a liquid, whereas below it 'melting' produces an amorphous solid. This model yields a generic melting diagram with a tunable parameter (defect concentration) that can characterize the static disorder present in solid-state amorphization, the thermodynamic stability of small clusters, and nanocrystalline materials, and the frustration present in spin glasses. The model is also relevant to glacial, geological, and stellar-atmospheric melting processes.

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