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 of these results to real materials with fractal structure, such as polymer electrolytes, with different salt concentrations.