Multifractal structure of clusters and growing aggregates

✍ Scribed by Antonio Coniglio

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 473 KB
• Volume: 140
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(86)90204-9

✦ Synopsis

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.