Simulation model of the fractal patterns in ionic conducting polymer films

• Authors: Shahizat Amir , Nor Mohamed , Siti Hashim Ali
• Languages of publication: EN

Abstracts

EN

Normally polymer electrolyte membranes are prepared and studied for applications in electrochemical devices. In this work, polymer electrolyte membranes have been used as the media to culture fractals. In order to simulate the growth patterns and stages of the fractals, a model has been identified based on the Brownian motion theory. A computer coding has been developed for the model to simulate and visualize the fractal growth. This computer program has been successful in simulating the growth of the fractal and in calculating the fractal dimension of each of the simulated fractal patterns. The fractal dimensions of the simulated fractals are comparable with the values obtained in 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.

Keywords

EN

ion conducting films; fractals; simulation; DLA model; L-system

Discipline

• 05.40.-a: Fluctuation phenomena, random processes, noise, and Brownian motion(for fluctuations in superconductivity, see 74.40.-n; for statistical theory and fluctuations in nuclear reactions, see 24.60.-k; for fluctuations in plasma, see 52.25.Gj; for nonlinear dynamics and chaos, see 05.45.-a)
• 05.40.Fb: Random walks and Levy flights
• 05.40.Jc: Brownian motion
• 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)
• 05.45.Df: Fractals(see also 47.53.+n Fractals in fluid dynamics; 61.43.Hv Fractals; macroscopic aggregates in structure of solids)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 1
• Pages: 150-156

Dates

published

1 - 2 - 2010

online

15 - 11 - 2009

Contributors

author

Shahizat Amir

• Centre for Foundation Studies in Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

author

Nor Mohamed

• Centre for Foundation Studies in Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

author

Siti Hashim Ali

• Centre for Foundation Studies in Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

References

• [1] A. Chandra, S. Chandra, Phys. Rev. B 49, 633 (1994) http://dx.doi.org/10.1103/PhysRevB.49.633[Crossref]
• [2] A. Chandra, Solid State Ionics 86-88, 1437 (1996) http://dx.doi.org/10.1016/0167-2738(96)00326-8[Crossref]
• [3] M. Fujii, K. Arii, K. Yoshino, J. Phys.-Condens. Mat. 3, 7207 (1991) http://dx.doi.org/10.1088/0953-8984/3/37/013[Crossref]
• [4] W. Janke, A. M. J. Schakel, Phys. Rev. Lett. 95, 135702 (2005) http://dx.doi.org/10.1103/PhysRevLett.95.135702[Crossref]
• [5] F. Lo Verso, R. L. C. Vink, D. Pini, L. Reatto, Phys. Rev. E 73, 061407 (2006) http://dx.doi.org/10.1103/PhysRevE.73.061407[Crossref]
• [6] B. Marcone, E. Orlandini, A. L. Stella, Phys. Rev. E 76, 051804 (2007) http://dx.doi.org/10.1103/PhysRevE.76.051804[Crossref]
• [7] S. Rathgeber, M. Monkenbusch, J. L. Hedrick, M. Trollsås, A. P. Gast, J. Chem. Phys. 125, 204908 (2006) http://dx.doi.org/10.1063/1.2364895[Crossref]
• [8] G. Zhang et al., J. Chem. Phys. 129, 224708 (2008) http://dx.doi.org/10.1063/1.3037229[Crossref]
• [9] T. A. Witten, L. M. Sander, Phys. Rev. Lett. 47, 1400 (1981) http://dx.doi.org/10.1103/PhysRevLett.47.1400[Crossref]
• [10] S. A. Hashim Ali, N. S. Mohamed, A. A. Shariff, A. K. Arof, Solidstate Ionic Devices: Science & Technology, 16–19 (2000)
• [11] M. Alfonseca, A. Ortega, IBM J. Res. Dev. 45, 797 (2001) http://dx.doi.org/10.1147/rd.456.0797[Crossref]
• [12] S. Papert, Mindstorms: Children, Computers, and Powerful Ideas (Basic Books, New York, 1980)
• [13] T. Vicsek, Fractal Growth Phenomena, second edition (World Scientific Publishing, Singapore, 1992)
• [14] M. N. Suki, N. S. Mohamed, S. A. Hashim Ali, R. Zainuddin, Malaysian Journal of Science, 23–33 (2007)

Identifiers

DOI

10.2478/s11534-009-0036-6