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We analyze the behavior of the microcanonical and canonical caloric curvesfor a piecewise model of the configurational density of states of simplesolids, in the context of melting from the superheated state, as realizednumerically in the Z-method via atomistic molecular dynamics. A first-orderphase transition with metastable regions is reproduced by the model, beingtherefore useful to describe aspects of the melting transition. Within thismodel, transcendental equations connecting the superheating limit, the meltingpoint, and the specific heat of each phase are presented and numericallysolved. Our results suggest that the essential elements of the microcanonical Zcurves can be extracted from simple modeling of the configurational density ofstates.

Configurational density of states and melting of simple solids