Multifractal structure of clusters and growing aggregates

Antonio Coniglio

Physica A: Statistical Mechanics and its Applications, 1986, vol. 140, issue 1, 51-61

Abstract: Various phenomena on a given fractal object have different critical behavior. This is related to the underlying multifractal structure of the aggregate. Here we discuss the problem with particular emphasis on a scaling approach which leads to a simple real space renormalization group. A mechanism which generates multifractality, based on a multiplicative process, is also illustrated. The multifractal structure of the incipient infinite cluster in percolation and diffusion limited aggregation is discussed in detail.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:140:y:1986:i:1:p:51-61

DOI: 10.1016/0378-4371(86)90204-9

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