Journal
PHYSICAL REVIEW E
Volume 80, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.061116
Keywords
crystal structure; crystallisation; ground states; solid-state phase transformations
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Funding
- National Science Foundation [DMS-0757765]
- Solomon Buchsbaum Research Fund
- Deutsche Forschungsgemeinschaft [SCHU 1503/4-2]
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We study dimensional trends in ground states for soft-matter systems. Specifically, using a high-dimensional version of Parrinello-Rahman dynamics, we investigate the behavior of the Gaussian core model in up to eight dimensions. The results include unexpected geometric structures, with surprising anisotropy as well as formal duality relations. These duality relations suggest that the Gaussian core model possesses unexplored symmetries, and they have implications for a broad range of soft-core potentials.
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