Abstract
Alexander and Orbach have recently proposed that the ratio of the fractal dimensionality of the incipient infinite cluster in percolation to the fractual dimensionality of a random walk on the cluster is ⅔, independent of the spatial dimensionality of the system. As a consequence, they predict that the electrical conductivity exponent in two dimensions, where is the correlation-length exponent. Our numerical data, which are obtained from large-lattice finite-size scaling calculations, give a value , in disagreement with the conjecture by 2.6%.
- Received 15 February 1984
DOI:https://doi.org/10.1103/PhysRevB.30.4090
©1984 American Physical Society