Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods

Engel M, Anderson JA, Glotzer SC, Isobe M, Bernard EP, Krauth W (2013)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Physical Review E American Physical Society

Publisher: American Physical Society

Book Volume: 87

Journal Issue: 4

DOI: 10.1103/PhysRevE.87.042134

Abstract

We report large-scale computer simulations of the hard-disk system at high densities in the region of the melting transition. Our simulations reproduce the equation of state, previously obtained using the event-chain Monte Carlo algorithm, with a massively parallel implementation of the local Monte Carlo method and with event-driven molecular dynamics. We analyze the relative performance of these simulation methods to sample configuration space and approach equilibrium. Our results confirm the first-order nature of the melting phase transition in hard disks. Phase coexistence is visualized for individual configurations via the orientational order parameter field. The analysis of positional order confirms the existence of the hexatic phase.

Authors with CRIS profile

Michael Engel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

University of Michigan US United States (USA) (US) Massachusetts Institute of Technology (MIT) US United States (USA) (US) École Normale Supérieure - PSL (ENS) FR France (FR)

How to cite

APA:

Engel, M., Anderson, J.A., Glotzer, S.C., Isobe, M., Bernard, E.P., & Krauth, W. (2013). Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods. Physical Review E, 87(4). https://doi.org/10.1103/PhysRevE.87.042134

MLA:

Engel, Michael, et al. "Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods." Physical Review E 87.4 (2013).

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