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From Lévy flights to the fractional kinetic equation for dynamical chaos

  • Part 3: Lévy Flights in Dynamical Systems
  • Conference paper
  • First Online:
Lévy Flights and Related Topics in Physics

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

Abstract

Chaotic dynamics of Hamiltonian systems can be described by the random process which resembles the Lévy-type flights and trappings in the phase space of a system. The probability distribution function satisfies the fractional in space and time generalization of the Fokker-Planck-Kolmogorov equation. Orders of the fractional derivatives in space and time can be connected to the Pesin's dimensions of the trajectories. A new look on the problem of Maxwell's Demon is discussed in the context of the anomalous (“strange”) kinetics.

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Author information

Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 10012, New York, NY

    G. M. Zaslavsky

  2. Physics Department, New York University, 10003, New York, NY

    G. M. Zaslavsky

Authors
  1. G. M. Zaslavsky
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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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Zaslavsky, G.M. (1995). From Lévy flights to the fractional kinetic equation for dynamical chaos. 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_36

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  • DOI: https://doi.org/10.1007/3-540-59222-9_36

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59222-8

  • Online ISBN: 978-3-540-49225-2

  • eBook Packages: Springer Book Archive

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