Explore the relationship between fractal dimensions of diffusion-limited aggregations and probabilities of traps on sites

Minxing Sun

doi:10.1117/12.2628092

22 April 2022 Explore the relationship between fractal dimensions of diffusion-limited aggregations and probabilities of traps on sites

Minxing Sun

Author Affiliations +

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633G (2022) https://doi.org/10.1117/12.2628092
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

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.

Citation Download Citation

Minxing Sun "Explore the relationship between fractal dimensions of diffusion-limited aggregations and probabilities of traps on sites", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633G (22 April 2022); https://doi.org/10.1117/12.2628092

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KEYWORDS

Simulation of CCA and DLA aggregates

Fractal analysis

Particles

Motion models

Java

Data modeling

Mathematical modeling

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