Fracton dynamics of percolating elastic networks: Energy spectrum and localized nature

Yakubo, K.; Nakayama, T.

PHYSICAL REVIEW B, 1989, 40(1), 517-523

Permalink : https://hdl.handle.net/2115/5656

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アクセス権	open access
URI	https://hdl.handle.net/2115/5656
タイトル	Fracton dynamics of percolating elastic networks: Energy spectrum and localized nature
著者	e-Rad_Researcher 40200480 著者名 Yakubo, K. 矢久保, 考介
著者	著者名 Nakayama, T.
言語	英語
発行日	1989-07-01
出版者	American Physical Society
収録物名	PHYSICAL REVIEW B
巻(号)	40(1)
ページ	517-523
抄録	We have performed computer experiments on the dynamics of two- and three-dimensional (2D and 3D) percolating elastic networks with the site number N>105. The densities of vibrational states (DOS’s) for these large percolating networks as well as the mode patterns of fractons are obtained. It is confirmed, for both 2D and 3D networks, that the DOS is proportional to ωd̃-1 with d̃ close to (4/3 in the regime above the characteristic frequency ωc. We could not find the notable steepness or hump in the DOS at the vicinity of a phonon-fracton crossover frequency ωc, i.e., our results were incompatible with the prediction by the effective-medium theory. Specific realizations of mode patterns show that the core of fracton excitations falls off sharply at their edges, and that the localized nature is quite unique.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 1989 American Institute of Physics
PISSN	0001-4966
関連情報	URI http://www.aip.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevB.40.517