title: Diffusion-limited aggregation: a revised mean-field approach
abstract: We propose a revision of the classic mean-field approach of diffusion-limited aggregation (DLA) model originally introduced by Witten and Sander [Phys. Rev. Lett. 47, 1400 (1981)]. The derived nonlinear mean-field equations providing lattice anisotropy are used to model diffusional growth on square lattice in linear and circular source geometries. The overall cluster shapes obtained from the mean-field calculations are found to satisfy the known scaling behavior experimentally observed for DLA simulations.
authors.affiliation: Low Temperature Physics Department, Moscow State University, Russia. bogoyavlenskiy@usa.net
authors.initials: VA
authors.lastname: Bogoyavlenskiy
authors.initials: NA
authors.lastname: Chernova