16.4 Summary and Discussion
To summarize, hard-disk systems with equimolar bi-dispersity are studied. From the nonequilibrium relaxation behaviors of the bond-orientational order parameters, we find that (i) there is a critical dispersity at which the melting transition of the hexagonal solid vanishes and (ii) the quadratic structure is metastable in a certain region of the dispersity-density parameter space. These results suggest that the dispersity not only destroys orders but produces new structures under certain specific conditions.
In this work, only equimolar bi-disperse systems have been studied. The discussion of the relation between the closest density and the dispersity is difficult to apply for to polydisperse systems in general. The possible other structures are not considered here. These problems should be addressed in future studies.
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Watanabe, H., Yukawa, S., Ito, N. (2007). Size Dispersity Effects on the Two-Dimensional Melting. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XVIII. Springer Proceedings in Physics, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32640-3_16
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