Mesoscale Field Theory for Quasicrystals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929694316691456 |
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| author | De Donno, Marcello Angheluta, Luiza Elder, Ken R. Salvalaglio, Marco |
| author_facet | De Donno, Marcello Angheluta, Luiza Elder, Ken R. Salvalaglio, Marco |
| contents | 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 non-conserved 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 semi-coherent interfaces and dislocation kinematics are given. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_17091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mesoscale Field Theory for Quasicrystals De Donno, Marcello Angheluta, Luiza Elder, Ken R. Salvalaglio, Marco Mesoscale and Nanoscale Physics Materials Science Soft Condensed Matter 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 non-conserved 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 semi-coherent interfaces and dislocation kinematics are given. |
| title | Mesoscale Field Theory for Quasicrystals |
| topic | Mesoscale and Nanoscale Physics Materials Science Soft Condensed Matter |
| url | https://arxiv.org/abs/2407.17091 |