Scaling of the negative moments of the harmonic measure in diffusion-limited aggregates
- 1 April 1989
- journal article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 39 (10) , 7292-7294
- https://doi.org/10.1103/physrevb.39.7292
Abstract
It is shown that, unlike the case of the distribution of currents in a random resistor network, all negative moments of the harmonic measure in diffusion-limited aggregates exhibit power-law scaling with sample size.Keywords
This publication has 11 references indexed in Scilit:
- Noise exponents of the random resistor networkPhysical Review B, 1987
- Resistance fluctuations in randomly diluted networksPhysical Review B, 1987
- Scaling properties for the surfaces of fractal and nonfractal objects: An infinite hierarchy of critical exponentsPhysical Review A, 1986
- Scaling structure of the surface layer of diffusion-limited aggregatesPhysical Review Letters, 1986
- Fractal measures and their singularities: The characterization of strange setsPhysical Review A, 1986
- Flicker () Noise in Percolation Networks: A New Hierarchy of ExponentsPhysical Review Letters, 1985
- 1/fnoise in random resistor networks: Fractals and percolating systemsPhysical Review A, 1985
- Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation thresholdPhysical Review B, 1985
- The infinite number of generalized dimensions of fractals and strange attractorsPhysica D: Nonlinear Phenomena, 1983
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981