Mesoscale field theory for quasicrystals

We present a mesoscale field theory unifying the modeling of growth, elasticity, and dislocations in quasicrystals. The theory is based on the amplitudes entering their density-wave representation. We introduce a free energy functional for complex amplitudes and assume nonconserved dissipative dynam...

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Main Authors: Marcello De Donno, Luiza Angheluta, Ken R. Elder, Marco Salvalaglio
Format: Article
Language:English
Published: American Physical Society 2024-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.6.043285
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author Marcello De Donno
Luiza Angheluta
Ken R. Elder
Marco Salvalaglio
author_facet Marcello De Donno
Luiza Angheluta
Ken R. Elder
Marco Salvalaglio
author_sort Marcello De Donno
collection DOAJ
description We present a mesoscale field theory unifying the modeling of growth, elasticity, and dislocations in quasicrystals. The theory is based on the amplitudes entering their density-wave representation. We introduce a free energy functional for complex amplitudes and assume nonconserved dissipative dynamics to describe their evolution. Elasticity, including phononic and phasonic deformations, along with defect nucleation and motion, emerges self-consistently by prescribing only the symmetry of quasicrystals. Predictions on the formation of semicoherent interfaces and dislocation kinematics are given.
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series Physical Review Research
spelling doaj-art-968c3db4923e4557b9d2d0708cbef2d32025-08-20T02:36:19ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-016404328510.1103/PhysRevResearch.6.043285Mesoscale field theory for quasicrystalsMarcello De DonnoLuiza AnghelutaKen R. ElderMarco SalvalaglioWe present a mesoscale field theory unifying the modeling of growth, elasticity, and dislocations in quasicrystals. The theory is based on the amplitudes entering their density-wave representation. We introduce a free energy functional for complex amplitudes and assume nonconserved dissipative dynamics to describe their evolution. Elasticity, including phononic and phasonic deformations, along with defect nucleation and motion, emerges self-consistently by prescribing only the symmetry of quasicrystals. Predictions on the formation of semicoherent interfaces and dislocation kinematics are given.http://doi.org/10.1103/PhysRevResearch.6.043285
spellingShingle Marcello De Donno
Luiza Angheluta
Ken R. Elder
Marco Salvalaglio
Mesoscale field theory for quasicrystals
Physical Review Research
title Mesoscale field theory for quasicrystals
title_full Mesoscale field theory for quasicrystals
title_fullStr Mesoscale field theory for quasicrystals
title_full_unstemmed Mesoscale field theory for quasicrystals
title_short Mesoscale field theory for quasicrystals
title_sort mesoscale field theory for quasicrystals
url http://doi.org/10.1103/PhysRevResearch.6.043285
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AT luizaangheluta mesoscalefieldtheoryforquasicrystals
AT kenrelder mesoscalefieldtheoryforquasicrystals
AT marcosalvalaglio mesoscalefieldtheoryforquasicrystals