The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain
Statistical Mechanics
2007-05-23 v1
Abstract
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 - 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.
Keywords
Cite
@article{arxiv.cond-mat/0405487,
title = {The Analytical Theory of Bulk Melting I: Exact Solution of the One-dimensional Atom Chain},
author = {Yajun Zhou and Xiaofeng Jin},
journal= {arXiv preprint arXiv:cond-mat/0405487},
year = {2007}
}
Comments
15 pages, 4 figures, 12 diagrams