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...

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Main Authors: Subramanian, P, Archer, AJ, Knobloch, E, Rucklidge, AM
Format: Journal article
Language:English
Published: American Physical Society 2016
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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.
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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