Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

Managing Editor: Lesna-Szreter, Paulina

1 Issue per year

IMPACT FACTOR 2017: 0.755
5-year IMPACT FACTOR: 0.820

CiteScore 2017: 0.83

SCImago Journal Rank (SJR) 2017: 0.241
Source Normalized Impact per Paper (SNIP) 2017: 0.537

ICV 2017: 162.45

Open Access
See all formats and pricing
More options …
Volume 8, Issue 1


Volume 13 (2015)

Simulation model of the fractal patterns in ionic conducting polymer films

Shahizat Amir / Nor Mohamed / Siti Hashim Ali
Published Online: 2009-11-15 | DOI: https://doi.org/10.2478/s11534-009-0036-6


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.

PACS: 05.40.-a; 05.40.Fb; 05.40.Jc; 05.45.-a; 05.45.Df

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

  • [1] A. Chandra, S. Chandra, Phys. Rev. B 49, 633 (1994) http://dx.doi.org/10.1103/PhysRevB.49.633CrossrefGoogle Scholar

  • [2] A. Chandra, Solid State Ionics 86-88, 1437 (1996) http://dx.doi.org/10.1016/0167-2738(96)00326-8CrossrefGoogle Scholar

  • [3] M. Fujii, K. Arii, K. Yoshino, J. Phys.-Condens. Mat. 3, 7207 (1991) http://dx.doi.org/10.1088/0953-8984/3/37/013CrossrefGoogle Scholar

  • [4] W. Janke, A. M. J. Schakel, Phys. Rev. Lett. 95, 135702 (2005) http://dx.doi.org/10.1103/PhysRevLett.95.135702CrossrefGoogle Scholar

  • [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.73.061407CrossrefGoogle Scholar

  • [6] B. Marcone, E. Orlandini, A. L. Stella, Phys. Rev. E 76, 051804 (2007) http://dx.doi.org/10.1103/PhysRevE.76.051804CrossrefGoogle Scholar

  • [7] S. Rathgeber, M. Monkenbusch, J. L. Hedrick, M. Trollsås, A. P. Gast, J. Chem. Phys. 125, 204908 (2006) http://dx.doi.org/10.1063/1.2364895CrossrefGoogle Scholar

  • [8] G. Zhang et al., J. Chem. Phys. 129, 224708 (2008) http://dx.doi.org/10.1063/1.3037229CrossrefGoogle Scholar

  • [9] T. A. Witten, L. M. Sander, Phys. Rev. Lett. 47, 1400 (1981) http://dx.doi.org/10.1103/PhysRevLett.47.1400CrossrefGoogle Scholar

  • [10] S. A. Hashim Ali, N. S. Mohamed, A. A. Shariff, A. K. Arof, Solidstate Ionic Devices: Science & Technology, 16–19 (2000) Google Scholar

  • [11] M. Alfonseca, A. Ortega, IBM J. Res. Dev. 45, 797 (2001) http://dx.doi.org/10.1147/rd.456.0797CrossrefGoogle Scholar

  • [12] S. Papert, Mindstorms: Children, Computers, and Powerful Ideas (Basic Books, New York, 1980) Google Scholar

  • [13] T. Vicsek, Fractal Growth Phenomena, second edition (World Scientific Publishing, Singapore, 1992) Google Scholar

  • [14] M. N. Suki, N. S. Mohamed, S. A. Hashim Ali, R. Zainuddin, Malaysian Journal of Science, 23–33 (2007) Google Scholar

About the article

Published Online: 2009-11-15

Published in Print: 2010-02-01

Citation Information: Open Physics, Volume 8, Issue 1, Pages 150–156, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-009-0036-6.

Export Citation

© 2010 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

S. N. Suraiya Begum, Vinod K. Aswal, and Radha Perumal Ramasamy
The Journal of Physical Chemistry C, 2016, Volume 120, Number 4, Page 2400
Anit Dawar and Amita Chandra
Physics Letters A, 2014, Volume 378, Number 40, Page 2951
Anit Dawar and Amita Chandra
Communications in Nonlinear Science and Numerical Simulation, 2013, Volume 18, Number 4, Page 959
Shahizat Amir, Siti Aishah Hashim_Ali, and Nor Sabirin Binti Mohamed
Ionics, 2011, Volume 17, Number 2, Page 121

Comments (0)

Please log in or register to comment.
Log in