Exact scaling treatments are given of anisotropic diffusion in pure and diluted chains, and in a fractal. A dynamic decimation method is used to obtain detailed dynamic scaling descriptions. The results for chains show crossover to drift or localised behaviour, induced by anisotropy or dilution. The fractal results include bias-induced crossover, with exponent unity, from anomalous diffusion behaviour (exponent log 2 5) to drift behaviour and scaling corrections (exponent log 2 5/3) arising from rotational anisotropy.
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R B Stinchcombe (1985) studied this question.
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