Difusão com agregação espontânea de partículas em 2D: uma análise computacional dos modelos DLA e DRA

Abstract

This work investigates the Diffusion-Limited Aggregation (DLA) and Diffusion-Reorganized Aggregation (DRA) models, with a focus on the formation of fractal structures. These computational models are fundamental for describing the formation of complex and selforganized structures, which are observed in various natural features and physical systems. Based on the analysis of computational models and the theoretical framework on complex systems, self-organization, and fractal geometry, we explore the morphological characteristics and dimensional properties of the aggregates formed in DLA and DRA simulations. The applied methodology involves the computational implementation of algorithms using the Python programming language. The results include the final configurations, the estimation of the fractal dimension for both models, and the memory function graph for the DRA model.