Fractal dimension of radial fingering patterns

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Abstract
We have measured the fractal dimension of radial fingering patterns in a smooth Hele-Shaw cell over a range of almost 2 orders of magnitude in the dimensionless driving force. After taking on the diffusion-limited-aggregation dimension 1.71 through much of the lower half of the observed range, the dimension reaches an apparent asymptotic value of 1.79±0.04 through the upper half. No evidence of progress toward a dense-branching morphology is observed in the range of this experiment.