TY - JOUR
T1 - Viscous fingers and diffusion-limited aggregates near percolation
AU - Murat, Michael
AU - Aharony, Amnon
PY - 1986
Y1 - 1986
N2 - 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
AB - 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
UR - http://www.scopus.com/inward/record.url?scp=0000678784&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.57.1875
DO - 10.1103/PhysRevLett.57.1875
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AN - SCOPUS:0000678784
SN - 0031-9007
VL - 57
SP - 1875
EP - 1878
JO - Physical Review Letters
JF - Physical Review Letters
IS - 15
ER -