Note: Melting criterion for soft particle systems in two dimensions
Abstract
A simple criterion for melting of two-dimensional crystals with soft long-ranged interactions is proposed. It states that the ratio of the transverse sound velocity of an ideal crystalline lattice to the thermal velocity is a quasi-universal number close to at melting. This criterion is arrived by reference to the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young theory of two-dimensional melting, combined with the observation that the ratio of transverse-to-longitudinal sound velocities is small in the soft interaction limit. Application of this criteria allows estimating melting lines in a simple yet relatively accurate manner. Two-dimensional weakly screened Yukawa systems represent one relevant example considered.
Cite
@article{arxiv.1804.04386,
title = {Note: Melting criterion for soft particle systems in two dimensions},
author = {Sergey Khrapak},
journal= {arXiv preprint arXiv:1804.04386},
year = {2018}
}
Comments
2 pages note in JCP