Viscous fingers and diffusion-limited aggregates near percolation

Michael Murat, Amnon Aharony

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

Abstract

Viscous fingers (VF) and diffusion-limited aggregates (DLA) are shown to exhibit different features when they grow on dilute percolating networks. On the infinite incipient cluster at the site-percolation threshold pc on the square lattice, both fractal dimensionalities are DVFDDLA1.3, but the mass amplitudes obey AVFADLA1.3. The effective DVFeff seems to increase for wider pores, while DDLAeff remains 1.3. For p>pc, the crossover to homogeneous behavior is very slow, and 1.3<DDLAeff<DVFeff<1.7.

Original languageEnglish
Pages (from-to)1875-1878
Number of pages4
JournalPhysical Review Letters
Volume57
Issue number15
DOIs
StatePublished - 1 Jan 1986
Externally publishedYes

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