Scarce defects induce anomalous diffusion

@article{HidalgoSoria2016ScarceDI,
  title={Scarce defects induce anomalous diffusion},
  author={M. Hidalgo-Soria and R. Salgado-Garc'ia},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2016},
  volume={2017}
}
We introduce a simple model of deterministic particles in weakly disordered media which exhibits a transition from normal to anomalous diffusion. The model consists of a set of non-interacting overdamped particles moving on a disordered potential. The disordered potential can be thought as a substrate having some ‘defects’ scattered along a one-dimensional line. The distance between two contiguous defects is assumed to have a heavy-tailed distribution with a given exponent α, which means that… 

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