Transport Barriers in Symplectic Maps

Viana, R. L.; Caldas, I. L.; Szezech, J. D.; Batista, A. M.; Abud, C. V.; Schelin, A. B.; Mugnaine, M.; Santos, M. S.; Leal, B. B.; Bartoloni, B.; Mathias, A. C.; Gomes, J. V.; Morrison, P. J.

doi:10.1007/s13538-021-00894-8

Title: Transport Barriers in Symplectic Maps

Journal Article · Wed Apr 07 00:00:00 EDT 2021 · Brazilian Journal of Physics

DOI:https://doi.org/10.1007/s13538-021-00894-8· OSTI ID:1850237

^[1]; Caldas, I. L. ^[2]; Szezech, J. D. ^[3]; Batista, A. M. ^[4]; Abud, C. V. ^[5]; Schelin, A. B. ^[6]; Mugnaine, M. ^[1]; Santos, M. S. ^[2]; Leal, B. B. ^[2]; Bartoloni, B. ^[2]; Mathias, A. C. ^[1]; Gomes, J. V. ^[1]; Morrison, P. J. ^[7]

Universidade Federal do Parana, Parana (Brazil). Departamento de Fisica
Univ. of Sao Paulo (Brazil). Instituto de Fısica. Departamento de Fısica Aplicada
Universidade Estadual de Ponta Grossa, Ponta Grossa, Parana (Brazil). Departamento de Matematica e Estatıstica
Universidade Estadual de Ponta Grossa, Ponta Grossa, Parana (Brazil). Departamento de Matematica e Estatıstica
Universidade Federal de Goias, Goias (Brazil)
Universidade de Brasılia, Brasılia (Brazil). Instituto de Fısica
Univ. of Texas, Austin, TX (United States). Dept. of Physics

Chaotic transport is a subject of paramount importance in a variety of problems in plasma physics, specially those related to anomalous transport and turbulence. On the other hand, a great deal of information on chaotic transport can be obtained from simple dynamical systems like two-dimensional area-preserving (symplectic) maps, where powerful mathematical results like KAM theory are available. In this work we review recent works on transport barriers in area-preserving maps, focusing on systems which do not obey the so-called twist property. For such systems KAM theory no longer holds everywhere and novel dynamical features show up as nonresistive reconnection, shearless curves and shearless bifurcations. After presenting some general features using a standard nontwist mapping, we consider magnetic field line maps for magnetically confined plasmas in tokamaks.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE; FAPESP

Grant/Contract Number:: FG05-80ET53088; 2018/03211-6

OSTI ID:: 1850237

Journal Information:: Brazilian Journal of Physics, Vol. 51, Issue 3; ISSN 0103-9733

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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