AGGREGATES AND DEPOSITIONS FROM POWER-LAW-BIASED RANDOM-WALKS

The random aggregation models in which particles do biased random walk s (RWs) to the seed are formulated and studied, The biases of RWs depe nd on power-low functions of the distance from a particle to the seed. To understand the local properties of clusters from this model, the l ocal density function C(gamma) is calculated. We find two regimes in t he structure of clusters, the dense core and highly ramified branches similar to those in diffusion-limited aggregates. The strip geometry o f deposition from the models in which the particles do the biased RWs to the seed line is alos studied. In depositions we also find the same two regimes as in the aggregates.