Phason self-actions in quasicrystals

DOI10.1016/j.physd.2013.01.006zbMath1262.82046OpenAlexW2033402647MaRDI QIDQ1948111

Jaime Planas, Paolo Maria Mariano

Publication date: 30 April 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2013.01.006

zbMATH Keywords

quasicrystals\(SO(3)\)-invarianceself-actions

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (9)

Decagonal quasicrystal plate with elliptic holes subjected to out-of-plane bending moments ⋮ Dynamics of complex bodies with memory and vector-valued microstructure: existence and uniqueness ⋮ Mechanics of dislocations and metadislocations in quasicrystals and their approximants: power invariance and balance ⋮ Boundary value problems of potential functions in decagonal quasicrystals ⋮ Existence Results in The Linear Dynamics of Quasicrystals with Phason Diffusion and Nonlinear Gyroscopic Effects ⋮ General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics ⋮ An exact closed-form solution for a multilayered one-dimensional orthorhombic quasicrystal plate ⋮ A Yoffe-type moving crack in one-dimensional hexagonal piezoelectric quasicrystals ⋮ Global weak attractors in the dynamics of bodies with vector-type microstructure

Cites Work

• Spin field topological linear defects in quasicrystals with magnetic order
• The standard description of quasicrystal linear elasticity may produce non-physical results
• Interactions in general continua with microstructure
• Power-law bounds on transfer matrices and quantum dynamics in one dimension
• Mechanics of quasi-periodic alloys
• Steady-state propagation of dislocations in quasi-crystals
• Dynamic steady-state crack propagation in quasi-crystals
• Homogenization of Dielectric Photonic Quasi Crystals
• Ground states in complex bodies

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