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

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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 -