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Lévy walks in dynamical systems

Author

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  • Klafter, J.
  • Zumofen, G.
  • Shlesinger, M.F.

Abstract

We investigate anomalous diffusion generated by iterated maps and analyze the motion in terms of the probabilistic Lévy walks. We present expressions for the mean-squared displacement and for the propagator, which deviate from those for Brownian motion. The theoretical results are corroborated by numerical calculations.

Suggested Citation

  • Klafter, J. & Zumofen, G. & Shlesinger, M.F., 1993. "Lévy walks in dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 222-230.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:222-230
    DOI: 10.1016/0378-4371(93)90520-E
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    Cited by:

    1. Saenko, Viacheslav V., 2016. "The influence of the finite velocity on spatial distribution of particles in the frame of Levy walk model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 765-782.

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