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

Year: 2013
Type: article
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.
DOI: 10.1103/physreve.87.042134
Authors: Michael Engel, Joshua A. Anderson, Sharon C. Glotzer, Masaharu Isobe, Etienne P. Bernard, Werner Krauth
Institutions: University of Michigan, Nagoya Institute of Technology, University of California, Berkeley, Massachusetts Institute of Technology, Centre National de la Recherche Scientifique, Université Pierre-et-Marie-Curie
Language: English
Open Access status: bronze
Funders: National Science Foundation, U.S. Department of Defense, University of Michigan, Aspen Center for Physics, Ministry of Education, Culture, Sports, Science and Technology, Centre National de la Recherche Scientifique, Japan Society for the Promotion of Science
Awards: Response theory and dynamical many body correlations for non-equilibrium transport in dense granular dynamics, G3568530830, G4357913612, Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics, G7039555113, SMART, AUTONOMOUS, ADAPTIVE PHENOMENA IN SELF-ORGANIZING, RECONFIGURABLE MATERIALS
OpenAlex ID: W2163908319
FWCI: 8.886
Cites: 39
Cited by: 302
Related to: 9