The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain

Details The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain

2004-05-20

arxiv.org/abs/cond-mat/0405487v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 4 figures, 12 diagrams

Scientific paper

We investigate theoretically the crucial r\^{o}le of interstitialcies that trigger the melting of a boundary-free crystal. Based on an interstitialcy model that resembles the $J_1$-$J_2$ model of frustrated antiferromagnets with uniaxial anisotropy, we have calculated the exact partition function and correlation functions in a one-dimensional atom chain. The melting point and correlation behavior of this crystal model show the applicability of Lindemann criterion and Born criterion in the one-dimensional case.

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