Density of states on fractals : « fractons »

  title={Density of states on fractals : « fractons »},
  author={S. Alexander and R. Orbach},
  journal={Journal De Physique Lettres},
  • S. Alexander, R. Orbach
  • Published 1982
  • Physics
  • 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… CONTINUE READING
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