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arXiv · 2407.17091

Mesoscale Field Theory for Quasicrystals

Marcello De Donno·Luiza Angheluta·Ken R. Elder·Marco Salvalaglio
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Abstract

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.

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Marcello De Donno, Luiza Angheluta, Ken R. Elder, Marco Salvalaglio. 2024-07-24. Mesoscale Field Theory for Quasicrystals. https://doi.org/10.1103/physrevresearch.6.043285

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