Multifractality, Scaling, and Diffusive Growth View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1989

AUTHORS

Thomas C. Halsey

ABSTRACT

The formation of branched, ramified, fractal structures in pattern formation limited by diffusion was first pointed out by Witten and Sander in 1981.1 In the intervening years, the study of such patterns has blossomed into a major area of non-linear physics. We have gradually learned, and are still learning, the correct concepts in which to couch quantitative discussion of the problem. One of the key such concepts is the multifractal structure of the growth probability distribution of a diffusion-limited pattern.2,3 In this contribution, I shall argue that this structure, as encoded in the f(α) function of the distribution, provides not merely a rich phenomenological description of the patterns, as has been widely realized. It also gives the foundation on which a more physical scaling picture of diffusion-limited growth may be built. More... »

PAGES

205-216

Book

TITLE

Fractals’ Physical Origin and Properties

ISBN

978-1-4899-3501-4
978-1-4899-3499-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4899-3499-4_9

DOI

http://dx.doi.org/10.1007/978-1-4899-3499-4_9

DIMENSIONS

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