Melting scenarios of two-dimensional Hertzian spheres with a single triangular lattice
Abstract
We present a molecular dynamics simulation study of the phase diagram and melting scenarios of two-dimensional Hertzian spheres with exponent 7/2. We have found multiple re-entrant melting of a single crystal with a triangular lattice in a wide range of densities from 0.5 to 10.0. Depending on the position on the phase diagram, the triangular crystal has been shown to melt through both two-stage melting with a first-order hexatic - isotropic liquid transition and a continuous solid - hexatic transition as well as in accordance with the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) scenario (two continuous transitions with an intermediate hexatic phase). We studied the behavior of heat capacity and have shown that despite two-stage melting, the heat capacity has one peak which seems to correspond to a solid-hexatic transition.
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Cite
@article{arxiv.1911.06086,
title = {Melting scenarios of two-dimensional Hertzian spheres with a single triangular lattice},
author = {E. N. Tsiok and E. A. Gaidukm Yu. D. Fomin and V. N. Ryzhov},
journal= {arXiv preprint arXiv:1911.06086},
year = {2019}
}