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Diffusion regimes in Lévy flights with trapping


  • Vazquez, Alexei
  • Sotolongo-Costa, Oscar
  • Brouers, Francois


The diffusion of a walk in the presence of traps is investigated. Different diffusion regimes are obtained considering the magnitude of the fluctuations in waiting times and jump distances. A constant velocity during the jump motion is assumed to avoid the divergence of the mean squared displacement. Using the limit theorems of the theory of Lévy stable distributions we have provided a characterization of the different diffusion regimes.

Suggested Citation

  • Vazquez, Alexei & Sotolongo-Costa, Oscar & Brouers, Francois, 1999. "Diffusion regimes in Lévy flights with trapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 424-431.
  • Handle: RePEc:eee:phsmap:v:264:y:1999:i:3:p:424-431
    DOI: 10.1016/S0378-4371(98)00460-9

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    Relaxation; Lévy flights; Trapping diffusion;


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