Abstract
The mean square distance reached after random-walk steps on a percolating cluster is shown to behave as (instead of ) for short times (for which the cluster is seen to be self-similar). The exponent is related to that describing the dc conductivity near percolation. Averaging over all clusters yields the ac conductivity and dielectric constant near percolation in the high-frequency limit, when the polarization of the medium is unimportant.
- Received 7 September 1982
DOI:https://doi.org/10.1103/PhysRevLett.50.77
©1983 American Physical Society