Monodimensional effects on elastic and vibrational properties of lacunary networks
- 1 January 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 49 (2) , 1026-1038
- https://doi.org/10.1103/physrevb.49.1026
Abstract
Elastic and vibrational properties of lacunary square networks with first-neighbor central forces are shown to reduce, in the framework of the harmonic approximation, to longitudinal modes determined by a fragmentation in independent blocks, i.e., segments. Vibrational spectra are thoroughly analyzed with evidence for a transition from continuous spectra to Dirac singularities via singular continuous spectra which occur near the linear percolation threshold. Random lacunary networks, as well as fractal ones, are studied.Keywords
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