Ground states and formal duality relations in the Gaussian core model
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Kumar_Ground states.pdf
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Author(s)
Cohn, Henry
Kumar, Abhinav
Schurmann, Achill
Date Issued
December 2009
Journal
Physical Review E
Publisher
American Physical Society
Citation
Cohn, Henry, and Achill Schürmann. “Ground states and formal duality relations in the Gaussian core model.” Physical Review E 80, no. 6 (December 2009). © 2009 The American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.80.061116
