Three-dimensional icosahedral phase field quasicrystal
We investigate the formation and stability of icosahedral quasicrystalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We determine the phase diagram and parameter values required f...
Main Authors: | , , , |
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Format: | Journal article |
Language: | English |
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American Physical Society
2016
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_version_ | 1797065759769231360 |
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author | Subramanian, P Archer, AJ Knobloch, E Rucklidge, AM |
author_facet | Subramanian, P Archer, AJ Knobloch, E Rucklidge, AM |
author_sort | Subramanian, P |
collection | OXFORD |
description | We investigate the formation and stability of icosahedral quasicrystalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We determine the phase diagram and parameter values required for the quasicrystal to be the global minimum free energy state. We demonstrate that traits that promote the formation of two-dimensional quasicrystals are extant in three dimensions, and highlight the characteristics required for three-dimensional soft matter quasicrystal formation. |
first_indexed | 2024-03-06T21:33:11Z |
format | Journal article |
id | oxford-uuid:455dcb2a-5b9e-4c30-b027-cc87b81ab10f |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T21:33:11Z |
publishDate | 2016 |
publisher | American Physical Society |
record_format | dspace |
spelling | oxford-uuid:455dcb2a-5b9e-4c30-b027-cc87b81ab10f2022-03-26T15:07:22ZThree-dimensional icosahedral phase field quasicrystalJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:455dcb2a-5b9e-4c30-b027-cc87b81ab10fEnglishSymplectic Elements at OxfordAmerican Physical Society2016Subramanian, PArcher, AJKnobloch, ERucklidge, AMWe investigate the formation and stability of icosahedral quasicrystalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We determine the phase diagram and parameter values required for the quasicrystal to be the global minimum free energy state. We demonstrate that traits that promote the formation of two-dimensional quasicrystals are extant in three dimensions, and highlight the characteristics required for three-dimensional soft matter quasicrystal formation. |
spellingShingle | Subramanian, P Archer, AJ Knobloch, E Rucklidge, AM Three-dimensional icosahedral phase field quasicrystal |
title | Three-dimensional icosahedral phase field quasicrystal |
title_full | Three-dimensional icosahedral phase field quasicrystal |
title_fullStr | Three-dimensional icosahedral phase field quasicrystal |
title_full_unstemmed | Three-dimensional icosahedral phase field quasicrystal |
title_short | Three-dimensional icosahedral phase field quasicrystal |
title_sort | three dimensional icosahedral phase field quasicrystal |
work_keys_str_mv | AT subramanianp threedimensionalicosahedralphasefieldquasicrystal AT archeraj threedimensionalicosahedralphasefieldquasicrystal AT knobloche threedimensionalicosahedralphasefieldquasicrystal AT rucklidgeam threedimensionalicosahedralphasefieldquasicrystal |