Monte Carlo study of defect melting in three dimensions

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Abstract
Using Monte Carlo methods, the authors analyse a simple model of defect melting in three-dimensional crystals. The model undergoes first-order transitions for all values of the elastic constants. This substantiates and extends a previous mean-field analysis perFormed for the isotropic model. for materials where the model is expected to work, they find good quantitative agreement with experiment: Lindemann parameters for FCC metals whose volume expansion coefficients are not too large are correctly predicted to within a few percent.

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