SCALING AND SCALING-RELEVANT DYNAMICAL PROPERTIES OF PENROSE TILING
文献类型：期刊论文
| 作者 | Z. Y. Liu ; Y. Y. Liu ; D. C. Tian ; H. B. Xia |
| 刊名 | Chinese Physics Letters
 |
| 出版日期 | 1995 |
| 卷号 | 12期号:2页码:98-101 |
| 关键词 | local atomic environment tight-binding bands vibrational properties quasi-crystal lattice quasicrystals states waves |
| ISSN号 | 0256-307X |
| 中文摘要 | The scaling and the scaling-relevant spectral properties of Penrose tiling are investigated. The fractal dimension d(f) of this tiling is analytically obtained, which is two, equal to its Euclidean dimension. Similar to usual self-similar structure, the vibrational density of states for Penrose lattice is also found to follow a power law rho(omega) similar to omega(ds-1) with spectral dimension d(s) = 2, which accounts for a special vibrational excitation in quasicrystals: the fracton-like excitation, whose state is critical. The simulation of random walk on this Penrose lattice indicates that the diffusive dimension d(w) = 2, thus the relation d(s) = 2d(f)/d(w) holds. |
| 原文出处 | |
| 公开日期 | 2012-04-14 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/38623]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 推荐引用方式 GB/T 7714 | Z. Y. Liu,Y. Y. Liu,D. C. Tian,et al. SCALING AND SCALING-RELEVANT DYNAMICAL PROPERTIES OF PENROSE TILING[J]. Chinese Physics Letters,1995,12(2):98-101. |
| APA | Z. Y. Liu,Y. Y. Liu,D. C. Tian,&H. B. Xia.(1995).SCALING AND SCALING-RELEVANT DYNAMICAL PROPERTIES OF PENROSE TILING.Chinese Physics Letters,12(2),98-101. |
| MLA | Z. Y. Liu,et al."SCALING AND SCALING-RELEVANT DYNAMICAL PROPERTIES OF PENROSE TILING".Chinese Physics Letters 12.2(1995):98-101. |
入库方式： OAI收割
来源：金属研究所
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