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Aspects of Lévy flights in a quenched random force field

  • Part 4: Lévy Flights and Statistical Mechanics
  • Conference paper
  • First Online:
Lévy Flights and Related Topics in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 450))

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Abstract

We consider Lévy flights characterized by the step index f in a quenched isotropic short range random force field. By means of a dynamic renormalization group analysis we find that the dynamic exponent z for f < 2 locks onto f, independent of dimension and independent of the presence of weak quenched disorder. The critical dimension for f < 2 is given by d c = 2f - 2. For d < d c the disorder is relevant, corresponding to a non-trivial fixed point for the force correlation function. We also discuss the behavior of the subleading diffusive term.

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Authors and Affiliations

  1. Institute of Physics and Astronomy, University of Aarhus, 8000, Aarhus C, Denmark

    Hans C. Fogedby

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  1. Hans C. Fogedby
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Editor information

Micheal F. Shlesinger George M. Zaslavsky Uriel Frisch

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© 1995 Springer-Verlag

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Fogedby, H.C. (1995). Aspects of Lévy flights in a quenched random force field. In: Shlesinger, M.F., Zaslavsky, G.M., Frisch, U. (eds) Lévy Flights and Related Topics in Physics. Lecture Notes in Physics, vol 450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59222-9_38

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  • DOI: https://doi.org/10.1007/3-540-59222-9_38

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59222-8

  • Online ISBN: 978-3-540-49225-2

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