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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© 1981 Springer-Verlag
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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
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