Transport properties in nontwist area-preserving maps
Nontwist systems, common in the dynamical descriptions of fluids and plasmas, possess a shearless curve with a concomitant transport barrier that eliminates or reduces chaotic transport, even after its breakdown. In order to investigate the transport properties of nontwist systems, we analyze the barrier escape time and barrier transmissivity for the standard nontwist map, a paradigm of such systems. We interpret the sensitive dependence of these quantities upon map parameters by investigating chaotic orbit stickiness and the associated role played by the dominant crossing of stable and unstable manifolds.
- Authors:
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[1]
; [1]
; [2]
; [2]
; [3]
- Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo (Brazil)
- Departamento de Fisica, Universidade Federal do Parana, Curitiba (Brazil)
- Univ. of Texas at Austin (United States)
- Publication Date:
- Grant/Contract Number:
- FG03-96ER54346
- Type:
- Accepted Manuscript
- Journal Name:
- Chaos (Woodbury, N. Y.)
- Additional Journal Information:
- Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 19; Journal Issue: 4; Journal ID: ISSN 1054-1500
- Publisher:
- American Institute of Physics (AIP)
- Research Org:
- Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo (Brazil)
- Sponsoring Org:
- USDOE Office of Science (SC)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; Manifolds; Diffusion; Toroidal plasma confinement; Magnetic fields
- OSTI Identifier:
- 1076438
- Free Publicly Accessible Full Text
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Accepted Manuscript (DOE)
- Publisher's Version of Record
- https://doi.org/10.1063/1.3247349