Melting as a String-Mediated Phase Transition

Details Melting as a String-Mediated Phase Transition Melting as a String-Mediated Phase Transition

2000-04-03

arxiv.org/abs/cond-mat/0004011v1

Phys.Rev. B61 (2000) 15011-15018

Physics

Condensed Matter

18 pages, LaTeX, 3 eps figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.15011

We present a theory of the melting of elemental solids as a dislocation-mediated phase transition. We model dislocations near melt as non-interacting closed strings on a lattice. In this framework we derive simple expressions for the melting temperature and latent heat of fusion that depend on the dislocation density at melt. We use experimental data for more than half the elements in the Periodic Table to determine the dislocation density from both relations. Melting temperatures yield a dislocation density of (0.61\pm 0.20) b^{-2}, in good agreement with the density obtained from latent heats, (0.66\pm 0.11) b^{-2}, where b is the length of the smallest perfect-dislocation Burgers vector. Melting corresponds to the situation where, on average, half of the atoms are within a dislocation core.

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