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

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Title: Fracton dynamics of percolating elastic networks: Energy spectrum and localized nature
Authors: Yakubo, K.1 Browse this author →KAKEN DB
Nakayama, T. Browse this author
Authors(alt): 矢久保, 考介1
Issue Date: 1-Jul-1989
Publisher: American Physical Society
Volume: 40
Issue: 1
Start Page: 517
End Page: 523
Publisher DOI: 10.1103/PhysRevB.40.517
Abstract: 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.
Rights: Copyright © 1989 American Institute of Physics
Type: article
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 矢久保 考介

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