Density of states on fractals : « fractons »

  title={Density of states on fractals : « fractons »},
  author={Shlomo Alexander and Raymond L. Orbach},
  journal={Journal De Physique Lettres},
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… Expand
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Excitation Dynamics in Random One-Dimensional Systems
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Note added in proof.
  • A. Eddy
  • Chemistry, Medicine
  • The EMBO journal
  • 1984