Bridge from diffusion-limited aggregation to the Saffman-Taylor problem.
We introduce a Monte Carlo mean-field scheme for the diffusion-limited aggregation (DLA) model, in order to simulate processes of viscous fingering. The patterns obtained demonstrate a striking resemblance to natural shapes in Hele-Shaw cells, reproducing the Saffman-Taylor analytical solutions in the stable regime. The corresponding deterministic equations of the mean-field DLA scheme are derived and studied.
Bogoyavlenskiy
V A
VA
Low Temperature Physics Department, Moscow State University, 119899 Moscow, Russia.