Theory of Fractal Growth
- 15 August 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 61 (7) , 861-864
- https://doi.org/10.1103/physrevlett.61.861
Abstract
We introduce a new theoretical approach that clarifies the origin of fractal structures in irreversible growth models based on the Laplace equation and that provides a systematic method for the calculation of the fractal dimension. A specific application to the dielectric breakdown model (including therefore diffusion-limited aggregation) in two dimensions is presented. For fractal growth this new method appears to be more appropriate than the renormalization-group method.Keywords
This publication has 15 references indexed in Scilit:
- Diffusion limited aggregation and its response to anisotropyPhysica A: Statistical Mechanics and its Applications, 1986
- Growth Probability Distribution in Kinetic Aggregation ProcessesPhysical Review Letters, 1986
- Scaling structure of the surface layer of diffusion-limited aggregatesPhysical Review Letters, 1986
- Anisotropy and Cluster Growth by Diffusion-Limited AggregationPhysical Review Letters, 1985
- Occupancy-Probability Scaling in Diffusion-Limited AggregationPhysical Review Letters, 1985
- Stochastic model for dielectric breakdownJournal of Statistical Physics, 1984
- Fractal Dimension of Dielectric BreakdownPhysical Review Letters, 1984
- Diffusion-limited aggregationPhysical Review B, 1983
- Diffusion-controlled cluster formation in 2—6-dimensional spacePhysical Review A, 1983
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981