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… 

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Note added in proof.

  • A. Eddy
  • Mathematics
    The EMBO journal
  • 1984
Copeland,T.D., Oroszlan,S., Kalyanaraman,V.S., Sarngadharan,M.G. and Gallo,R.C. (1983b) FEBS Lett., 162, 390-395. Crouch,R.J. and Dirksen,M.L. (1982) in Linn,S. and Roberts,R. (eds.), Nucleases, Cold