Anomalous features of diffusion in corrugated potentials with spatial correlations: faster than normal, and other surprises.

@article{Goychuk2014AnomalousFO,
  title={Anomalous features of diffusion in corrugated potentials with spatial correlations: faster than normal, and other surprises.},
  author={Igor Goychuk and Vasyl O. Kharchenko},
  journal={Physical review letters},
  year={2014},
  volume={113 10},
  pages={100601}
}
Normal diffusion in corrugated potentials with spatially uncorrelated Gaussian energy disorder famously explains the origin of non-Arrhenius exp[-σ2/(kBT2)] temperature dependence in disordered systems. Here we show that unbiased diffusion remains asymptotically normal also in the presence of spatial correlations decaying to zero. However, because of a temporal lack of self-averaging, transient subdiffusion emerges on the mesoscale, and it can readily reach macroscale even for moderately strong… CONTINUE READING