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Physics > Plasma Physics

arXiv:2102.03149 (physics)
[Submitted on 5 Feb 2021]

Title:Transport barriers in symplectic maps

Authors:R. L. Viana, I. L. Caldas, J. D. Szezech Jr., A. M. Batista, C. V. Abud, A. B. Schelin, M. Mugnaine, M. S. Santos, B. B. Leal, B. Bartoloni, A. C. Mathias, J. V. Gomes, P. J. Morrison
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Abstract: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 non-resistive 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.
Subjects: Plasma Physics (physics.plasm-ph); Chaotic Dynamics (nlin.CD)
Cite as: arXiv:2102.03149 [physics.plasm-ph]
  (or arXiv:2102.03149v1 [physics.plasm-ph] for this version)
  https://doi.org/10.48550/arXiv.2102.03149
Related DOI: https://doi.org/10.1007/s13538-021-00894-8

Submission history

From: Antonio Batista [view email]
[v1] Fri, 5 Feb 2021 12:52:56 UTC (7,746 KB)
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