Stability of the dense radial morphology in diffusive pattern formation

David G. Grier; David A. Kessler; L. M. Sander

doi:10.1103/PhysRevLett.59.2315

Stability of the dense radial morphology in diffusive pattern formation

David G. Grier, David A. Kessler, L. M. Sander

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2315-2318
Number of pages	4
Journal	Physical Review Letters
Volume	59
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.59.2315
State	Published - 1987

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.59.2315

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title = "Stability of the dense radial morphology in diffusive pattern formation",

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.",

author = "Grier, {David G.} and Kessler, {David A.} and Sander, {L. M.}",

year = "1987",

doi = "10.1103/PhysRevLett.59.2315",

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publisher = "American Physical Society",

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N2 - 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.

AB - 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.

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DO - 10.1103/PhysRevLett.59.2315

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Stability of the dense radial morphology in diffusive pattern formation

Abstract

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