Aggregate models of pattern formation
- 1 March 1986
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (3) , 2065-2067
- https://doi.org/10.1103/physreva.33.2065
Abstract
A one-parameter generalization of the diffusion-limited-aggregation (DLA) model, originally suggested by Witten and Sander, is studied. On changing the parameter, the resulting aggregate geometry changes from a fractal DLA-like structure to a compact one. Along the way, geometrical structures bearing a striking resemblance to viscous fingers and a variety of aggregates found in nature are obtained.Keywords
This publication has 14 references indexed in Scilit:
- Pore-Scale Viscous Fingering in Porous MediaPhysical Review Letters, 1985
- Limits of the Fractal Dimension for Irreversible Kinetic Aggregation of Gold ColloidsPhysical Review Letters, 1985
- Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenonNature, 1985
- Diffusion-limited aggregation and the Saffman-Taylor problemPhysical Review A, 1985
- Fractal Aggregates in Sputter-Deposited NbFilmsPhysical Review Letters, 1985
- Pattern Formation in Diffusion-Limited AggregationPhysical Review Letters, 1984
- Diffusion-Limited Aggregation and Two-Fluid Displacements in Porous MediaPhysical Review Letters, 1984
- Self-similarity and a phase-transition-like behavior of a random growing structure governed by a nonequilibrium parameterPhysical Review A, 1982
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquidProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958