Transport Barriers in Symplectic Maps

Author(s):Show less -

Viana, R. L. ; Caldas, I. L. ; Szezech Jr., 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.

• Document type: Journal article
• Source: Brazilian Journal of Physics; v. 51, n. 3, p. 11-pg., 2021-04-07.

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, usual 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. (AU)

• FAPESP's process: 18/03211-6 - Non linear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants