Mathematics – Logic
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992natur.356..133f&link_type=abstract
Nature (ISSN 0028-0836), vol. 356, March 12, 1992, p. 133-135. Research supported by DARA GmbH.
Mathematics
Logic
49
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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