Diffusion in deterministic fractals: a model for polymer electrolytes

We present simulation results for random walks on a family of Sierpinski Carpets, under a periodically varying bias. The diffusivity obtained from these results shows a power-law variation of the bias, with frequency. The exponent depends on details of the carpet generator. We discuss applicability...

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Bibliographic Details
Published in:Physica A 2005-02, Vol.346 (1), p.191-199
Main Authors: Maitra, Minakshi, Mal, Dibyendu, Dasgupta, Ruma, Tarafdar, Sujata
Format: Article
Language:English
Subjects:
Biased random walk
Impedance spectroscopy
Polymer electrolyte
Sierpinski carpet
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Summary:We present simulation results for random walks on a family of Sierpinski Carpets, under a periodically varying bias. The diffusivity obtained from these results shows a power-law variation of the bias, with frequency. The exponent depends on details of the carpet generator. We discuss applicability of these results to real materials with fractal structure, such as polymer electrolytes, with different salt concentrations.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2004.08.066