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- W2034222103 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 ${p}_{c}$ on the square lattice, both fractal dimensionalities are ${D}_{mathrm{VF}}ensuremath{simeq}{D}_{mathrm{DLA}}ensuremath{simeq}1.3$, but the mass amplitudes obey $frac{{A}_{mathrm{VF}}}{{A}_{mathrm{DLA}}}ensuremath{simeq}1.3$. The effective ${D}_{mathrm{VF}}^{mathrm{eff}}$ seems to increase for wider pores, while ${D}_{mathrm{DLA}}^{mathrm{eff}}$ remains 1.3. For $p>{p}_{c}$, the crossover to homogeneous behavior is very slow, and $1.3<{D}_{mathrm{DLA}}^{mathrm{eff}}<{D}_{mathrm{VF}}^{mathrm{eff}}<1.7$." @default.
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- W2034222103 date "1986-10-13" @default.
- W2034222103 modified "2023-09-24" @default.
- W2034222103 title "Viscous Fingers and Diffusion-Limited Aggregates near Percolation" @default.
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- W2034222103 doi "https://doi.org/10.1103/physrevlett.57.1875" @default.
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