Self-similarity and transport in the standard map

S. Benkadda; S. Kassibrakis; R. B. White; G. M. Zaslavsky

doi:10.1103/PhysRevE.55.4909

Self-similarity and transport in the standard map

S. Benkadda, S. Kassibrakis, R. B. White, and G. M. Zaslavsky

Phys. Rev. E 55, 4909 – Published 1 May 1997

Abstract

Anomalous transport is investigated for the standard map. A chain of exact self-similar islands in the vicinity of the period 5 accelerator island is found for a particular value of the map parameter. The transport is found to be superdiffusive with an anomalous exponent related to the characteristic temporal and spatial scaling parameters of the island chain. The value of the transport exponent is compared to the theory. The escape time distribution and Poincarérecurrence distribution are found to have powerlike tails and the corresponding exponents are obtained and compared to the theory.

DOI:https://doi.org/10.1103/PhysRevE.55.4909

Authors & Affiliations

S. Benkadda, S. Kassibrakis, and R. B. White

Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08543

G. M. Zaslavsky

Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012
and Physics Department, New York University, 4 Washington Place, New York, New York 10003

Comments & Replies

Reply to “Comment on ‘Self-similarity and transport in the standard map’ ”

S. Benkadda, S. Kassibrakis, R. White, and G. M. Zaslavsky

Phys. Rev. E 59, 3761 (1999)

Comment on “Self-similarity and transport in the standard map”

G. Zumofen and J. Klafter

Phys. Rev. E 59, 3756 (1999)

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Vol. 55, Iss. 5 — May 1997

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