# Density of states on fractals : « fractons »

@article{Alexander1982DensityOS, title={Density of states on fractals : « fractons »}, author={Shlomo Alexander and Raymond L. Orbach}, journal={Journal De Physique Lettres}, year={1982}, volume={43}, pages={625-631} }

The density of states on a fractal is calculated taking into account the scaling properties of both the volume and the connectivity. We use a Green's function method developed elsewhere which utilizes a relationship to the diffusion problem. It is found that proper mode counting requires a reciprocal space with new intrinsic fracton dimensionality d = 2 d/(2 + δ). Here, d is the effective dimensionality, and δ the exponent giving the dependence of the diffusion constant on distance. For example…

## 1,379 Citations

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