Renormalization theory of stochastic growth
- 1 January 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (1) , 135-152
- https://doi.org/10.1103/physreve.55.135
Abstract
An analytical renormalization-group treatment is presented of a model that, for one value of parameters, is equivalent to diffusion-limited aggregation (DLA). The fractal dimension of DLA is computed to be 2-1/2+1/5=1.7. Higher multifractal exponents are also calculated and found to be in agreement with numerical results. It may be possible to use this technique to describe the dielectric breakdown model as well, which is given by different parameter values.Keywords
All Related Versions
This publication has 18 references indexed in Scilit:
- Diffusion-limited aggregation as branched growthPhysical Review Letters, 1994
- Observation of conservations laws in diffusion limited aggregationPhysical Review Letters, 1994
- Comment on ‘‘Self-similarity of diffusion-limited aggregates and electrodeposition clusters’’Physical Review Letters, 1989
- Self-Similarity of Diffusion-Limited Aggregates and Electrodeposition ClustersPhysical Review Letters, 1988
- Scaling laws for diffusive growthPhysical Review A, 1988
- Some consequences of an equation of motion for diffusive growthPhysical Review Letters, 1987
- A Theory of Fractal Dimensionality for Generalized Diffusion-Limited AggregationJournal of the Physics Society Japan, 1986
- Singularities in nonlocal interface dynamicsPhysical Review A, 1984
- Fractal dimensions for diffusion-limited aggregationPhysics Letters A, 1984
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981