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Issue 30, 2014
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Two-stage melting induced by dislocations and grain boundaries in monolayers of hard spheres

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Abstract

Melting in two-dimensional systems has remained controversial as theory, simulations, and experiments show contrasting results. One issue that obscures this discussion is whether or not theoretical predictions on strictly 2D systems describe those on quasi-2D experimental systems, where out-of-plane fluctuations may alter the melting mechanism. Using event-driven molecular dynamics simulations, we find that the peculiar two-stage melting scenario of a continuous solid-hexatic and a first-order hexatic–liquid transition as observed for a truly 2D system of hard disks [Bernard and Krauth, Phys. Rev. Lett., 2011, 107, 155704] persists for a quasi-2D system of hard spheres with out-of-plane particle motions as high as half the particle diameter. By calculating the renormalized Young's modulus, we show that the solid–hexatic transition is of the Kosterlitz–Thouless type and occurs via dissociation of bound dislocation pairs. In addition, we find a first-order hexatic–liquid transition that seems to be driven by spontaneous proliferation of grain boundaries.

Graphical abstract: Two-stage melting induced by dislocations and grain boundaries in monolayers of hard spheres

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Article information


Submitted
17 Jan 2014
Accepted
02 Mar 2014
First published
07 Mar 2014

Soft Matter, 2014,10, 5449-5457
Article type
Paper

Two-stage melting induced by dislocations and grain boundaries in monolayers of hard spheres

W. Qi, A. P. Gantapara and M. Dijkstra, Soft Matter, 2014, 10, 5449
DOI: 10.1039/C4SM00125G

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