Large-Scale Simulations of the Two-Dimensional Melting of Hard Disks

Abstract

Large-scale computer simulations involving more than a million particles have been performed to study the melting transition in a two-dimensional hard disk fluid. The van der Waals loop previously observed in the pressure-density relationship of smaller simulations is shown to be an artifact of finite-size effects. Together with a detailed scaling analysis of the bond orientation order, the new results provide compelling evidence for the Halperin-Nelson-Young picture. Scaling analysis of the translational order also yields a lower bound for the melting density that is much higher than previously thought.

4 pages, 4 figures

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• Molecular Dynamics Simulations
• Rejection-free Geometric Cluster Algorithm for Complex Fluids
• The hexatic phase of the two-dimensional hard disks system

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