Fractal Patterns in Polymer Electrolyte Films: Computational Simulation Using Fractal Growth Parameters| Chapter 7 | Science and Technology: Recent Updates and Future Prospects Vol. 12

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.

 

Author (s) Details

Shahizat Amir

Institute of Mathematical Science, Faculty of Science, Universiti Malaya, 50603 Kuala Lumpur, Malaysia.

 

Mariah Binti Sabar
Institute of Mathematical Science, Faculty of Science, Universiti Malaya, 50603 Kuala Lumpur, Malaysia.

 

Mohd Zahurin Bin Mohamed Kamali
Institute of Mathematical Science, Faculty of Science, Universiti Malaya, 50603 Kuala Lumpur, Malaysia.

 

Ahmad Zaki Bin Mohamad Amin
Centre for Foundation Studies in Science, Universiti Malaya, 50603 Kuala Lumpur, Malaysia.

 

Please see the book here:- https://doi.org/10.9734/bpi/strufp/v12/1890