Lindemann melting criterion in two dimensions
Soft Condensed Matter
2020-02-21 v1 Materials Science
Statistical Mechanics
Chemical Physics
Plasma Physics
Abstract
It is demonstrated that the Lindemann's criterion of melting can be formulated for two-dimensional classical solids using statistical mechanics arguments. With this formulation the expressions for the melting temperature are equivalent in three and two dimensions. Moreover, in two dimensions the Lindemann's melting criterion essentially coincides with the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young melting condition of dislocation unbinding.
Cite
@article{arxiv.2002.00651,
title = {Lindemann melting criterion in two dimensions},
author = {Sergey Khrapak},
journal= {arXiv preprint arXiv:2002.00651},
year = {2020}
}
Comments
6 pages, 3 figures; to be published in Physical Review Research