TY - JOUR
T1 - Superlocalization, correlations and random walks on fractals
AU - Aharony, Amnon
AU - Brooks Harris, A.
N1 - Funding Information:
Work at Tel Aviv was supportedb y grantsf rom the U.S.-Israel Binational ScienceF oundation and from the Israel Academy of Sciencesa nd Humanities. Work at the University of Pennsylvaniaw as supportedb y the NSF under grant DMR 8520272.W ork at the University of Oslo was supportedb y VISTA, a researchc ooperationb etweent he NorwegianA cademy of Sciencea nd Letters and STATOIL, and by the Norwegian Council of Science and Humanities (NAVF).
PY - 1990/2/1
Y1 - 1990/2/1
N2 - Upper and lower bounds are found for the anomalous decay exponent a of localized wave functions and of various two-point correlation functions on typical fractal configurations. The decay of the "superlocalized" wave functions is used to evaluate the decay of the probability distribution of a random walk, which is then used to obtain a Flory-like expression for self-avoiding walks. Emphasis is placed on the differences between "typical" and average quantities.
AB - Upper and lower bounds are found for the anomalous decay exponent a of localized wave functions and of various two-point correlation functions on typical fractal configurations. The decay of the "superlocalized" wave functions is used to evaluate the decay of the probability distribution of a random walk, which is then used to obtain a Flory-like expression for self-avoiding walks. Emphasis is placed on the differences between "typical" and average quantities.
UR - http://www.scopus.com/inward/record.url?scp=45149140288&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(90)90313-H
DO - 10.1016/0378-4371(90)90313-H
M3 - Article
AN - SCOPUS:45149140288
SN - 0378-4371
VL - 163
SP - 38
EP - 46
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -