3rd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Field-induced dispersion in subdiffusion

  • @INPROCEEDINGS{10.4108/icst.valuetools.2008.52,
        author={Joseph  Klafter and Igor M.  Sokolov },
        title={Field-induced dispersion in subdiffusion},
        proceedings={3rd International ICST Conference on Performance Evaluation Methodologies and Tools},
  • Joseph Klafter
    Igor M. Sokolov
    Year: 2010
    Field-induced dispersion in subdiffusion
    DOI: 10.4108/icst.valuetools.2008.52
Joseph Klafter1, Igor M. Sokolov
  • 1: Tel Aviv University, Israel


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<α<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 oscillating field leads to a new additional contribution to the dispersion of the particle position, proportional to the square of its amplitude and growing with time. These new effects, amenable to experimental observation, result directly from the nonstationary property of the system.