论文标题

Lindemann熔化标准在二维

Lindemann melting criterion in two dimensions

论文作者

Khrapak, Sergey

论文摘要

证明Lindemann的熔化标准可以使用统计力学参数为二维经典固体制定。使用此公式,熔化温度的表达在三个维度和两个维度上等效。此外,在两个维度上,Lindemann的熔融标准基本上与Berezinskii-Kosterlitz-无尽的Halperin-Nelson-nelson-Young熔解条件的脱位链接条件相吻合。

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.

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