Stability of the dense radial morphology in diffusive pattern formation
- 16 November 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 59 (20) , 2315-2318
- https://doi.org/10.1103/physrevlett.59.2315
Abstract
The dense radial structure is a distinct morphology which develops in many diffusive pattern-forming systems. We propose the first model to explain the stability of this structure. Stability arises in this model from the resistivity of the growth channels, which has been neglected in previous analyses. We also report excellent agreement between the predictions of our model and experimental results from two-dimensional electrochemical deposition.Keywords
This publication has 10 references indexed in Scilit:
- Formation of a Dense Branching Morphology in Interfacial GrowthPhysical Review Letters, 1986
- Niemeyer, Pietronero, and Wiesmann Respond:Physical Review Letters, 1986
- Fractal growth processesNature, 1986
- Morphology and Microstructure in Electrochemical Deposition of ZincPhysical Review Letters, 1986
- Dendritic and Fractal Patterns in Electrolytic Metal DepositsPhysical Review Letters, 1986
- Crossover in diffusion-limited aggregationPhysical Review B, 1983
- Diffusion-limited aggregationPhysical Review B, 1983
- Instabilities and pattern formation in crystal growthReviews of Modern Physics, 1980
- Morphological Stability of a Particle Growing by Diffusion or Heat FlowJournal of Applied Physics, 1963
- Theory of Growth of Spherical Precipitates from Solid SolutionJournal of Applied Physics, 1949