Diffusion regimes in Lévy flights with trapping

Alexei Vazquez, Oscar Sotolongo-Costa and Francois Brouers

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 3, 424-431

Abstract: 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.

Keywords: Relaxation; Lévy flights; Trapping diffusion (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:3:p:424-431

DOI: 10.1016/S0378-4371(98)00460-9

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