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Lévy Walks Versus Lévy Flights

  • Michael F. Shlesinger
  • Joseph Klafter
Part of the NATO ASI Series book series (NSSE, volume 100)

Abstract

We explore the behavior of random walkers that fly instantaneously between successive sites, however distant, and those that must walk between these sites. The latter case is related to intermittent behavior in Joseph- son junctions and to turbulent diffusion.

Keywords

Random Walk Turbulent Diffusion Successive Site Intermittent Behavior Gaussian Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. B. B. Mandelbrot, The Fractal Geometry of Nature ( Freeman, San Francisco, 1982 ).Google Scholar
  2. 2.
    E. W. Montroll, M. F. Shlesinger, in Studies in Statistical Mechanics, Vol. 11, “From Stochastics to Hydrodynamics,” eds. J. L. Lebowitz and E. W. Montroll ( North-Holland, Amsterdam, 1984 ), pp. 1 – 121.Google Scholar
  3. 3.
    M. F. Shlesinger, J. Klafter, Y. M. Wong, J. Stat. Phys. 27, 499 (1982).CrossRefGoogle Scholar
  4. 4.
    M. F. Shlesinger, J. Klafter, Phys. Rev. Lett. 54, 2551 (1985).CrossRefGoogle Scholar
  5. 5.
    T. Geisel, J. Nierwetberg, A. Zacherl, Phys. Rev. Lett. 54, 616 (1985).CrossRefGoogle Scholar
  6. 6.
    F. Wegner, S. Grossman, Zeits. für Physik B 59, 197 (1985); S. Grossman and I. Procaccia, Phys. Rev. A 29, 1358 (1984).Google Scholar
  7. 7.
    B. Ya Balagorov, V. G. Vaks, Sov. Phys. JETP 38, 968 (1974).Google Scholar
  8. 8.
    B. Ninham, private communication.Google Scholar

Copyright information

© Martinus Nijhoff Publishers,Dordrecht 1986

Authors and Affiliations

  • Michael F. Shlesinger
    • 1
  • Joseph Klafter
    • 2
  1. 1.Office of Naval Research/Physics DivisionArlingtonUSA
  2. 2.Corporate Research Science LaboratoryExxon Research and Engineering CompanyAnnandaleUSA

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