Multiple Cluster Fractal Growth Patterns in Polymer Electrolyte Films. Mathematical Modeling and Simulation

      Аннотация: Study of fractals has been an interest for scientists and mathematicians since the term ‘fractal’ was first coined by Mandelbrot. By a simple definition, a fractal is a shape made of parts similar to the whole in some way. Many studies on fractals have been carried out either in applications, usually involving experimental works, or in theory, where most simulations on fractal patterns models are on nature-based fractals such as river flows, coastline and tree branching. Many of fractal growth models are suitable with experimental phenomena such as electrochemical electrodeposition, electrochemical polymerization and Diffusion Limited Aggregation growth structures of many metal aggregates in the presence of a magnetic field as external stimuli. The formation of fractals without using any external stimuli has been reported by a few groups of researchers. This work focuses on the improvisation of the modeling and simulation of laboratory cultured fractals using polymer electrolyte films as the media of growth.

Ключевые слова: Fractal Dimension, Fractals, modeling and simulation, polymer electrolyte films