SCALING AND SCALING-RELEVANT DYNAMICAL PROPERTIES OF PENROSE TILING

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	SCALING AND SCALING-RELEVANT DYNAMICAL PROPERTIES OF PENROSE TILING
	Z. Y. Liu; Y. Y. Liu; D. C. Tian; H. B. Xia
	1995
发表期刊	Chinese Physics Letters
ISSN	0256-307X
卷号	12 期号:2 页码:98-101
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.
部门归属	wuhan univ,dept phys,wuhan 430072,peoples r china. acad sinica,int ctr mat phys,shenyang 110015,peoples r china.;liu, zy (reprint author), s china univ technol,dept phys,canton 510641,peoples r china
关键词	Local Atomic Environment Tight-binding Bands Vibrational Properties Quasi-crystal Lattice Quasicrystals States Waves
URL	查看原文
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/38623
专题	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.