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Shvoong Home>Science>Simulation of the Growth of Complex Geometric Patterns in Polymer Membrane Summary

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Simulation of the Growth of Complex Geometric Patterns in Polymer Membrane

Article Abstract by: fadzlina     

Original Authors: S. Amir; N.S. Mohamed; S.A. Hashim Ali
Normally polymer electrolyte membranes are prepared and studied for application in electrochemical systems. 
In the present work, polymer electrolyte membranes have been used as the media to culture fractals.  Fern-like fractals have been successfully cultured in PEO-lithium slat films.  The structures that have been simulated are based on the Brownian motion theory (random walk).  The simulation program was written in a computer language and using the string production method of L-System.  The axiom used is F and three production rules have been chosen to best simulate the DLA structures: F<+FF>F{-FF}
, F<+FF>F
and F<-FF>F
.  More over, the DLA structures from the model are statistically self-similar and its fractal dimensions, fd
were calculated using the box-counting method.  The fractal dimensions of the simulated model are comparable with the values obtained from the original fractals observed in the polymer electrolyte membrane.  This indicates that the model developed in the present work is within acceptable conformity with the original fractal.
Published: April 17, 2007
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