The mean square distance reached after t random-walk steps on a percolating cluster is shown to behave as t2(2+θ) (instead of t) for short times (for which the cluster is seen to be self-similar). The exponent θ 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.
|Number of pages||4|
|Journal||Physical Review Letters|
|State||Published - 1 Jan 1983|
ASJC Scopus subject areas
- Physics and Astronomy (all)