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Transport properties in nontwist area-preserving maps

Chaos 19, 043108 (2009); doi:10.1063/1.3247349

Published 23 October 2009

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J. D. Szezech, Jr.,1 I. L. Caldas,1 S. R. Lopes,2 R. L. Viana,2 and P. J. Morrison3
1Instituto de Física, Universidade de São Paulo, São Paulo, 05315-970 São Paulo, Brazil
2Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, Curitiba, 81531-990 Paraná, Brazil
3Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA
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. ©2009 American Institute of Physics
History: Received 4 June 2009; accepted 22 September 2009; published 23 October 2009
Permalink: http://link.aip.org/link/?CHAOEH/19/043108/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.52.+j
    Chaos in fluid dynamics
  • 47.27.N-
    Wall-bounded shear flow turbulence
  • 52.25.Gj
    Plasma fluctuation and chaos phenomena
  • 52.25.Fi
    Plasma transport properties
  • YEAR: 2009

PUBLICATION DATA

ISSN:
1054-1500 (print)   1089-7682 (online)
Publisher:
AIP is a member of CrossRef AIP

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