Diffusion in disordered media with long-range correlations: anomalous, Fickian, and superdiffusive transport and log-periodic oscillations.

@article{Saadatfar2002DiffusionID,
  title={Diffusion in disordered media with long-range correlations: anomalous, Fickian, and superdiffusive transport and log-periodic oscillations.},
  author={Mohammad Saadatfar and Muhammad Sahimi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={65 3 Pt 2A},
  pages={036116}
}
We present the results of extensive Monte Carlo simulation of diffusion in disordered media with long-range correlations, a problem which is relevant to transport of contaminants in field-scale porous media, such as aquifers, gas transport in soils, and transport in composite materials. The correlations are generated by a fractional Brownian motion characterized by a Hurst exponent H. For H>1/2 the correlations appear to have no effect, and the transport process is diffusive. However, for H<1/2… CONTINUE READING