Fractal Patterns in Polymer Electrolyte Films: Computational Simulation Using Fractal Growth Parameters

Abstract

Polymer electrolyte films exhibit fractal patterns, which have been studied through simulations. This study integrates the Diffusion-Limited Aggregation (DLA) model with Brownian motion theory to simulate fractal patterns in these films. The simulations apply fractal growth parameters, demonstrating growth rules and essential model properties. Using the Matlab platform, computer simulations were conducted by adjusting parameters such as sticking coefficients, number of particles, and lattice sites. Modifying these parameters resulted in noticeable variations in the simulation outcomes. Fractal dimensions (D) of the patterns were calculated using the box-counting method, both from experimental observations and simulations. The study also discusses the influence of different growth parameters on these fractal dimensions.