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Simulation of two-dimensional floc growth using improved DLA model

Diffusion-Limited Aggregation (DLA) is most widely researched in fractal growth. Based on the classic DLA model, the two-dimensional floc growth were simulated with finite Steps-Limited and Reaction-Limited DLA model, respectively. Parameters such as fractal dimensions and porosity were calculated, in order to study the influence of finite steps and reaction probability on the results of the fractal simulation of floc growth. Smaller the finite steps, the flocs had a more obvious growing tendency of discrete clusters, characterized by a small fractal dimension and a big porosity, and the fractal characteristic of the flocs was more and more inconspicuous. The flocs would obviously grow towards the direction whose reaction probability was bigger, however, the fractal dimensions of the flocs which grew towards different directions were more or less, which was of same fractal nature.