Stochastic Lattice Model of Aggregation in Heterogeneous Polydisperse Media

Abstract

The submitted paper proposes a new model algorithmic approach to describing aggregation processes, which is based on mathematical tool of a random walk over mathematical lattices. Such approach agrees as a whole with the DES paradigm. This tool allows removing the problem linked to accounting the effect of many- particles collisions, and it gives the way for describing both a diffusion-limited aggregation and the competition of different kinetic mechanisms that take place on different characteristic times, without significantly complicating the model. The paper deals with the concept of the model, and the results of the numerical experiment based on software developed by the authors have been also described.