Field-induced dispersion in subdiffusion

@article{Klafter2006FieldinducedDI,
  title={Field-induced dispersion in subdiffusion},
  author={Joseph Klafter and Igor M. Sokolov},
  journal={Physical review letters},
  year={2006},
  volume={97 14},
  pages={140602}
}
We discuss the response of continuous-time random walks to an oscillating external field within the generalized master equation approach. We concentrate on the time dependence of the two first moments of the walker's displacement. We show that for power-law waiting-time distributions with 0<alpha<1 corresponding to a semi-Markovian situation showing nonstationarity, the mean particle position tends to a constant; namely, the response to the external perturbation dies out. On the other hand, the… CONTINUE READING

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