10. Dynamics of 18-Fold Symmetric Soft-Matter Quasicrystals

The chapter delves into the groundbreaking discovery of 18-fold symmetric soft-matter quasicrystals, which differ significantly from previously reported quasicrystals with lower symmetries. The study discusses the unique properties of these quasicrystals, including their elasticity and dynamics, and how they can be described using a six-dimensional embedding space. The authors also explore the decoupling of phonon and phason fields, providing insights into the behavior of these quasicrystals under various conditions. Additionally, the chapter presents analytical solutions for dislocations and discusses the implications of these findings for the understanding and application of quasicrystals in materials science.