Abstract
In this paper we compute the site percolation probabilitiesP c on Sierpinski Carpets, using the Translational-Dilation method and Monte Carlo technique. We find a relation amongP c , fractal dimensionalityD and connectivityQ. It seems that the family of Carpets with central cutouts belongs to the same universality class, and the family of Carpets with evently scattered cutouts seems to belong to another universality class.
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This work supported by China National Science Foundation
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Bo-Ming, Y., Kai-Lun, Y. Critical percolation probabilities for site problems on Sierpinski Carpets. Z. Physik B - Condensed Matter 70, 209–212 (1988). https://doi.org/10.1007/BF01318301
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DOI: https://doi.org/10.1007/BF01318301