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.

• Received 19 June 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.2315