Ground states and formal duality relations in the Gaussian core model
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 a...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/80830 https://orcid.org/0000-0001-9261-4656 |
| _version_ | 1811096402637357056 |
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| author | Cohn, Henry Kumar, Abhinav Schurmann, Achill |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Cohn, Henry Kumar, Abhinav Schurmann, Achill |
| author_sort | Cohn, Henry |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:42:52Z |
| format | Article |
| id | mit-1721.1/80830 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:42:52Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/808302022-10-03T07:45:52Z Ground states and formal duality relations in the Gaussian core model Cohn, Henry Kumar, Abhinav Schurmann, Achill Massachusetts Institute of Technology. Department of Mathematics Cohn, Henry Kumar, Abhinav 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. National Science Foundation (U.S.) (Grant DMS-0757765) Solomon Buchsbaum Research Fund 2013-09-20T15:21:16Z 2013-09-20T15:21:16Z 2009-12 2009-09 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/80830 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 https://orcid.org/0000-0001-9261-4656 en_US http://dx.doi.org/10.1103/PhysRevE.80.061116 Physical Review E 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. application/pdf American Physical Society APS |
| spellingShingle | Cohn, Henry Kumar, Abhinav Schurmann, Achill Ground states and formal duality relations in the Gaussian core model |
| title | Ground states and formal duality relations in the Gaussian core model |
| title_full | Ground states and formal duality relations in the Gaussian core model |
| title_fullStr | Ground states and formal duality relations in the Gaussian core model |
| title_full_unstemmed | Ground states and formal duality relations in the Gaussian core model |
| title_short | Ground states and formal duality relations in the Gaussian core model |
| title_sort | ground states and formal duality relations in the gaussian core model |
| url | http://hdl.handle.net/1721.1/80830 https://orcid.org/0000-0001-9261-4656 |
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