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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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Article information


Submitted
15 Nov 2019
Accepted
08 Feb 2020
First published
26 Mar 2020

Soft Matter, 2020, Accepted Manuscript
Article type
Paper

Melting scenarios of two-dimensional Hertzian spheres with a single triangular lattice

E. N. Tsiok, E. A. Gaiduk, Y. Fomin and V. N. Ryzhov, Soft Matter, 2020, Accepted Manuscript , DOI: 10.1039/C9SM02262G

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