The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain
Abstract
We investigate theoretically the crucial rôle of interstitialcies that trigger the melting of a boundary-free crystal. Based on an interstitialcy model that resembles the J1-J2 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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