Fractal aggregates, and the current lines of their electrostatic potentials
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.
Year of publication: |
1991
|
---|---|
Authors: | Evertsz, Carl J.G. ; Mandelbrot, Benoit B. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 177.1991, 1, p. 589-592
|
Publisher: |
Elsevier |
Saved in:
Saved in favorites
Similar items by person
-
Self-similarity of harmonic measure on DLA
Evertsz, Carl J.G., (1992)
-
Multifractality of the harmonic measure on fractal aggregates, and extended self-similarity
Mandelbrot, Benoit B., (1991)
-
Three fractal models in finance : discontinuity, concentration, risk
Mandelbrot, BenoƮt B., (1997)
- More ...