Mesoscale field theory for quasicrystals

2024/12/16 by Marcello De Donno, Luiza Angheluta, K. R. Elder +1 · 1 voice
Earth and Planetary Sciences · Materials Science · #Mineralogy and Gemology Studies #Quasicrystal Structures and Properties #Solidification and crystal growth phenomena

paper · doi:10.1103/physrevresearch.6.043285

openalex publication_date 2024/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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. Published by the American Physical Society 2024

Citations

• Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
• Pattern formation outside of equilibrium
• Classical dynamical density functional theory: from fundamentals to applications

Discussions

• We published (open access) in Physical Review Research @apsphysics.bsky.social a Mesoscale field theory unifying the description of growth, elasticity, and defects in hashtag quasicrystals. Paper ( [bsky, 6 points, 1 comments]

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