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Fractal aggregates, and the current lines of their electrostatic potentials

Carl J.G. Evertsz and Benoît Mandelbrot

Physica A: Statistical Mechanics and its Applications, 1991, vol. 177, issue 1, 589-592

Abstract: We have constructed diffusion limited aggregates off-lattice, that is, using Brownian motion instead of random walk, and the equipotential and the current lines have also been computed in the continuous plane. This construction (describes as being off off-lattice) is illustrated for the composite of a circular and a cylindrical DLA cluster. The striking new finding we report is that the current lines form trees with nearly straight branches.

Date: 1991
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DOI: 10.1016/0378-4371(91)90205-Q

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Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:589-592