Branched structure of vibration spectrum of diamond type hierarchical lattices
In this letter the spectral structure of lattice vibrations of diamond type hierarchical lattices is studied. A novel feature is found that spectra form a branched structure associated with generations, in contrast with that of other regular fractals. We point out that it seems to be difficult to get a single spectral dimension to describe the scaling behaviour of the low- frequency density of states.
Year of publication: |
1991
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Authors: | Yang, Z.R. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 173.1991, 1, p. 45-48
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Publisher: |
Elsevier |
Saved in:
Online Resource
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