Superlocalization, correlations and random walks on fractals

Amnon Aharony*, A. Brooks Harris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)38-46
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume163
Issue number1
DOIs
StatePublished - 1 Feb 1990

Funding

FundersFunder number
National Science FoundationDMR 8520272

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