Self-similarity and transport in the standard map

Journal Article · Thu May 01 00:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.4909· OSTI ID:565326

Benkadda, S; Kassibrakis, S; White, R B ^[1]; Zaslavsky, G M ^[2]

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1. Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08543 (United States)
2. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012 (United States)

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 Poincar{acute e} recurrence distribution are found to have powerlike tails and the corresponding exponents are obtained and compared to the theory. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• DOE Contract Number: AC02-76CH03073; FG02-92ER54184
• OSTI ID: 565326
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, Issue 5; Other Information: PBD: May 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIFFUSION
TRANSPORT THEORY
STOCHASTIC PROCESSES
SCALING LAWS
MAPPING