Published May 1997
| Version v1
Journal article
Self-similarity and transport in the standard map
- 1. Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08543 (United States)
- 2. Physics Department, New York University, 4 Washington Place, New York, New York 10003 (United States)
- 3. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012 (United States)
Description
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 Poincaracute e recurrence distribution are found to have powerlike tails and the corresponding exponents are obtained and compared to the theory. copyright 1997 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Journal Volume
- 55
- Journal Issue
- 5
- Journal Page Range
- p. 4909-4917.
- ISSN
- 1063-651X
- CODEN
- PLEEE8
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 29036808
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIFFUSION; MAPPING; SCALING LAWS; STOCHASTIC PROCESSES; TRANSPORT THEORY