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

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dc.creatorZhou, Yajun
dc.creatorJin, Xiaofeng
dc.date2004-05-20
dc.date.accessioned2026-07-07T02:58:15Z
dc.date.available2026-07-07T02:58:15Z
dc.descriptionWe investigate theoretically the crucial rôle 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.
dc.description15 pages, 4 figures, 12 diagrams
dc.identifierhttps://arxiv.org/abs/cond-mat/0405487
dc.identifierhttp://arxiv.org/abs/cond-mat/0405487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24011
dc.subjectStatistical Mechanics
dc.titleThe Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain
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