Scaling for vibrational modes of fractals tethered at the boundaries

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dc.creatorMukherjee, Sonali
dc.creatorNakanishi, Hisao
dc.date1999-10-08
dc.date.accessioned2026-07-07T03:14:46Z
dc.date.available2026-07-07T03:14:46Z
dc.descriptionUsing a recently introduced mapping between a scalar elastic network tethered at its boundaries and a diffusion problem with permanent traps, we study various vibrational properties of progressively tethered disordered fractals. Different scaling forms are proposed for different types of boundary tethering and numerical investigation of the scaling is performed by the approximate diagonalization of the corresponding large, sparse transition probability matrices. Rather different localization behaviors are found for the leading modes depending on the types of tethering.
dc.description7 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9910138
dc.identifierhttp://arxiv.org/abs/cond-mat/9910138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29800
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleScaling for vibrational modes of fractals tethered at the boundaries
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