Diffusion-limited aggregation with jumps and flights

Abstract

The paper suggests a generalisation of the diffusion-limited aggregation (DLA) based on using a general stochastic process to control particle movements before sticking to a growing cluster. This leads to models with variable characteristics that can provide a single framework for treating a number of earlier models of fractal growth: the DLA, the Eden model and the ballistic aggregation. Additionally, a classification of fractal growth models is suggested.