Diffusion in deterministic fractals: a model for polymer electrolytes

Minakshi Maitra, Dibyendu Mal, Ruma Dasgupta and Sujata Tarafdar

Physica A: Statistical Mechanics and its Applications, 2005, vol. 346, issue 1, 191-199

Abstract: 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.

Keywords: Biased random walk; Sierpinski carpet; Polymer electrolyte; Impedance spectroscopy (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:346:y:2005:i:1:p:191-199

DOI: 10.1016/j.physa.2004.08.066

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