Y. Kim et Kr. Choi, ANISOTROPIES IN AGGREGATES WITH BIASED RANDOM-WALKS ON 2-DIMENSIONAL LATTICES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 1586-1589
Irreversible stochastic models of growth in which particles are global
ly biased to seed are formulated and studied by Monte Carlo simulation
s on triangular, hexagonal, and square lattices. In the deterministic
aggregation model (DAM), where only the effect of attraction between p
articles and the seed is considered, the particles have peculiar paths
of motion on each lattice. Aggregates with biased random walks manife
st special anisotropies on the two-dimensional lattices which are the
same as those in DAM's. We discuss the universal and nonuniversal prop
erties of these aggregates on the two-dimensional lattices.