Diffusion limited aggregation model

Zichuan Yu

doi:10.1117/12.2628098

22 April 2022 Diffusion limited aggregation model

Zichuan Yu

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 1216323 (2022) https://doi.org/10.1117/12.2628098
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

The process of creating clusters by the irreversible aggregation of tiny particles is a central topic in scientific research. The rate is limited by the diffusion of the particles to the surface during aggregation. The Diffusion limited Aggregation (DLA) was first proposed by T. A. Witten, and L. M. Sander, in 1981. In recent years, scaling researches in nonequilibrium statistical physics based on DLA model have substantially progressed partly because of the utilization of renormalization group approaches. In this paper, the mechanism of three-dimensional random walk based on lattices will be introduced first. Next, the DLA process in three-dimensional space will be reviewed. Then, a brief introduction of the basic idea of 'fractal' and the two-point correlation function approach, which is utilized to determine the fractal dimension of the DLA model, will be given in this work. Finally, the process of fibril formation of a specific rod-like protein ‘type I collagen’ (this process is also known as ‘fibrillogenesis’) based on two-dimensional DLA model, will be discussed in this paper.

Citation Download Citation

Zichuan Yu "Diffusion limited aggregation model", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 1216323 (22 April 2022); https://doi.org/10.1117/12.2628098

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