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The elasto-/hydro-dynamics of quasicrystals with 12- and 18-fold\n symmetries in some soft matters and mathematical solutions

2012/10/05 by Tian You Fan, Fan, Tian You
Materials Science · #FOS: Physical sciences #Quasicrystal Structures and Properties #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1210.1667

openalex publication_date 2012/10/05 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

The observation recently of 12-fold quasicrystals in polymers, nanoparticle\nmixture and 12-fold and 18-fold quasicrystals in colloidal solutions are\nimportant events for the study of quasicrystals. To describe the mechanical\nbehaviour we propose a new solid-liquid phase quasicrystal model for some soft\nmatters including polymers and colloids. The so-called new solid-liquid phase,\nis a new phase model of anisotropic fluid, but different from liquid crystal\nphase, here the structure presents quasiperiodic symmetry. Based on the model,\nthe elasticity, fluidity and viscosity of the material have been studied, the\nrelevant mathematical theory has also been proposed. Some mathematical\nsolutions of the theory are discussed.\n

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