Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-10-08
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.
Mukherjee Sonali
Nakanishi Hisao
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