Scaling for vibrational modes of fractals tethered at the boundaries

Details Scaling for vibrational modes of fractals tethered at the boundaries Scaling for vibrational modes of fractals tethered at the boundaries

1999-10-08

arxiv.org/abs/cond-mat/9910138v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 11 figures

Scientific paper

Using 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.

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