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Disordered Systems and Localization pp 56–58Cite as

Percolation, critical phenomena and fractals

  • Percolation and Related Topics
  • Conference paper
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Part of the book series: Lecture Notes in Physics ((LNP,volume 149))

Abstract

Physical and geometrical properties are studied on self similar fractal lattices. Properties of spin systems are shown to depend on various topological factors, in addition to the fractal dimensionality. A (non random) fractal model is proposed for the backbone of the infinite cluster near percolation in d dimensions, and its properties agree with those of the backbone for d ≲ 4.

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References

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Author information

Authors and Affiliations

  1. Dept. of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel

    A. Aharony & Y. Gefen

  2. IBM T.J. Watson Research Center, 10598, Yorktown Heights, N.Y., USA

    B. Mandelbrot & S. Kirkpatrick

Authors
  1. A. Aharony
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  2. Y. Gefen
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  3. B. Mandelbrot
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  4. S. Kirkpatrick
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Editor information

Claudio Castellani Carlo Di Castro Luca Peliti

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© 1981 Springer-Verlag

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Cite this paper

Aharony, A., Gefen, Y., Mandelbrot, B., Kirkpatrick, S. (1981). Percolation, critical phenomena and fractals. In: Castellani, C., Di Castro, C., Peliti, L. (eds) Disordered Systems and Localization. Lecture Notes in Physics, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012545

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  • DOI: https://doi.org/10.1007/BFb0012545

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11163-4

  • Online ISBN: 978-3-540-38636-0

  • eBook Packages: Springer Book Archive

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