Three-dimensional equations of generalized dynamics of 18-fold symmetry soft-matter quasicrystals-Reference-Cited by-同舟云学术

Three-dimensional equations of generalized dynamics of 18-fold symmetry soft-matter quasicrystals

Published:2020-02-14 Issue:11 Volume:34 Page:2050109
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Tang Zhi-Yi¹,Fan Tian-You²^ORCID

Affiliation:

1. School of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, China

2. School of Physics, Beijing Institute of Technology, Beijing 100081, China

Abstract

This paper presents a three-dimensional form of governing equations of generalized dynamics of 18-fold symmetry soft-matter quasicrystals. According to the dynamics basis, there are first and second phason elementary excitations apart from phonons and fluid phonon. In the derivation, the group representation theory is a key point. The complete form of the theory includes an equation of state. The governing equations present some important meaning in the study on thermodynamics of the matter, which is also introduced.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984920501092

Reference10 articles.

1. Possible two-dimensional quasicrystal structures with a six-dimensional embedding space

2. Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry

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