Urban Growth and Form: Scaling, Fractal Geometry, and Diffusion-Limited Aggregation
نویسندگان
چکیده
منابع مشابه
Diffusion-limited aggregation in channel geometry.
We performed extensive numerical simulation of diffusion-limited aggregation in two-dimensional channel geometry. Contrary to earlier claims, the measured fractal dimension D=1.712+/-0.002 and its leading correction to scaling are the same as in the radial case. The average cluster, defined as the average conformal map, is similar but not identical to Saffman-Taylor fingers.
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Silver metal trees grow and form a forest at the edge of a Cu plate in the AgNO3 water solution in a two dimensional(d = 2) cell. The local structure of the forest is similar to that of the diffusion-limited aggregation (DLA), but the whole pattern approaches a uniform structure. Its growth dynamics is characterized by the fractal dimension Df of DLA. Time-dependence of the tip height is found ...
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We study the fractal and multifractal properties (i.e., the generalized dimensions of the harmonic measure) of a two-parameter family of growth patterns that result from a growth model that interpolates between diffusion-limited aggregation (DLA) and Laplacian growth patterns in two dimensions. The two parameters are beta that determines the size of particles accreted to the interface, and C th...
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Diffusion-limited aggregation is consistent with simple scaling. However, strong subdominant terms are present, and these can account for various earlier claims of anomalous scaling. We show this in detail for the case of multiscaling.
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ژورنال
عنوان ژورنال: Environment and Planning A: Economy and Space
سال: 1989
ISSN: 0308-518X,1472-3409
DOI: 10.1068/a211447