KEYWORDS: Simulation of CCA and DLA aggregates, Fractal analysis, Particles, Motion models, Java, Mathematical modeling, Data modeling, Physics, Mathematics, Biology
The paper mainly focuses on exploring the relationship between fractal dimensions of diffusion-limited aggregation (DLA) models and traps on the field, that may consume particles. Diffusion-limited aggregation has been applied widely in various fields such as biology, physics, mathematics and engineering. Nevertheless, it has been noticed that one widespread problem exists among research on diffusion-limited aggregations, which is the frequent ignorance of particles loss during Brownian motion. Seldom has it been investigated, that the changes of structures of DLA models are due to environmental variations. After simulations using Java, through observing generated path, data table and scatter plot of each DLA model, it has been concluded that fractal dimensions of DLA models and probabilities of traps on sites of the field satisfy the relationship of a negative correlation under a certain range of probabilities of traps; which means that the increasing probabilities of traps leads to the decreasing of fractal dimensions of DLA models. The research verifies the conjecture that a number of researches over diffusion-limited aggregations may have their results influenced because of ignoring the particles loss problem.
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