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 on the square lattice, both fractal dimensionalities are , but the mass amplitudes obey . The effective seems to increase for wider pores, while remains 1.3. For , the crossover to homogeneous behavior is very slow, and .
- Received 9 April 1986
DOI:https://doi.org/10.1103/PhysRevLett.57.1875
©1986 American Physical Society