Nonuniversality of transport for the standard map

  • S. Kassibrakis
  • S. Benkadda
  • R. B. White
  • G. M. Zaslavsky
Kinetics And Statistics
Part of the Lecture Notes in Physics book series (LNP, volume 511)


Chaotic transport is investigated for the standard map for different values of stochasticity parameter K. It is found that the form of the transport coefficient is a strong function of K, and that this variation is associated with the formation and disappearance of complex multi-island structures. For some values of the parameter K superdiffusion is associated with the existence of exact chains of self-similar islands attached to accelerator islands, giving rise to long time stickiness of orbits. Close to threshold other types of multi-island structures cause stickiness. In both cases the phase space of these traps, and the exponents of the characteristic long time tails associated with them are determined. Computational procedures for the anomalous exponents and intermediate asymptotics are discussed in many details.

PACS numbers

05.45.+b 47.52.+j 05.60.+w 47.53.+n 


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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • S. Kassibrakis
    • 1
  • S. Benkadda
    • 1
  • R. B. White
    • 2
  • G. M. Zaslavsky
    • 3
    • 4
  1. 1.UMR 6633, CNRS-Université de Provence. Centre de St. Jérôme, Case 321Marseille Cedex 20France
  2. 2.Plasma Physics LaboratoryPrinceton UniversityPrinceton
  3. 3.Courant Institute of Mathematical SciencesNew York UniversityNew York
  4. 4.Physics DepartmentNew York UniversityNew York

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