Solutions for hydrodynamics of 5-and 10-fold symmetry quasicrystals

doi:10.1007/s10483-016-2133-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (10): 1393-1404.doi: https://doi.org/10.1007/s10483-016-2133-9

• 论文 • 上一篇

Solutions for hydrodynamics of 5-and 10-fold symmetry quasicrystals

Hui CHENG^1,2, Tianyou FAN¹, Hao WEI¹

1. School of Physics, Beijing Institute of Technology, Beijing 100081, China;
2. School of Science, Hebei Engineering University, Handan 056038, Hebei Province, China

收稿日期:2016-01-22 修回日期:2016-04-01 出版日期:2016-10-01 发布日期:2016-10-01
通讯作者: Tianyou FAN E-mail:tyfan2013@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (No.11272053)

Solutions for hydrodynamics of 5-and 10-fold symmetry quasicrystals

Hui CHENG^1,2, Tianyou FAN¹, Hao WEI¹

1. School of Physics, Beijing Institute of Technology, Beijing 100081, China;
2. School of Science, Hebei Engineering University, Handan 056038, Hebei Province, China

Received:2016-01-22 Revised:2016-04-01 Online:2016-10-01 Published:2016-10-01
Supported by:
Project supported by the National Natural Science Foundation of China (No.11272053)

摘要/Abstract

摘要：

This study carries out a complete analysis of time-space solution of hydrodynamics of pentagonal/decagonal quasicrystals. The behaviors of wave propagation for phonons and diffusion for phasons and coupling between phonon-phason fields are explored explicitly. Comprehensive discussion on physical time-space variations of all hydrodynamic field variables of the alloy quasicrystals is given. The computational specimen is simple, convenient in testing computational results, and provides a possibility that is easy to test experimentally. The quantitative results of mass density, viscosity velocities, phonon displacements, phason displacements, phonon stresses, phason stresses, viscosity stresses, and their time-space variations help us understand the motion of solid quasicrystals in a hydrodynamic condition (long-wavelength and low-frequency). The analysis presented in this paper can be used for octagonal and dodecagonal quasicrystals and is easily extended to other two-dimensional quasicrystals and three-dimensional icosahedral quasicrystals. Some problems explored by the computational results are also discussed.

关键词: hydrodynamics, finite difference method, mathematical solution, quasicrystal

Abstract:

Key words: mathematical solution, finite difference method, quasicrystal, hydrodynamics

中图分类号:

74C20

Hui CHENG, Tianyou FAN, Hao WEI. Solutions for hydrodynamics of 5-and 10-fold symmetry quasicrystals[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(10): 1393-1404.

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Solutions for hydrodynamics of 5-and 10-fold symmetry quasicrystals

Solutions for hydrodynamics of 5-and 10-fold symmetry quasicrystals

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