TY - JOUR
T1 - Anomalous diffusion on percolating clusters
AU - Gefen, Yuval
AU - Aharony, Amnon
AU - Alexander, Shlomo
N1 - Funding Information:
The author is grateful to the Slovak Grant Agency for 11990177f)o r partial supportingo f this work.
PY - 1983
Y1 - 1983
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33750026831&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.50.77
DO - 10.1103/PhysRevLett.50.77
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:33750026831
SN - 0031-9007
VL - 50
SP - 77
EP - 80
JO - Physical Review Letters
JF - Physical Review Letters
IS - 1
ER -