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Transport Barriers in Symplectic Maps
Brazilian Journal of Physics ( IF 1.5 ) Pub Date : 2021-04-07 , DOI: 10.1007/s13538-021-00894-8
R. L. Viana , I. L. Caldas , J. D. Szezech , 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

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.



中文翻译:

辛地图中的运输障碍

在等离子体物理中的各种问题中,特别是与异常传输和湍流有关的问题,混沌传输是最重要的主题。另一方面,可以从简单的动力学系统(如二维区域保留(渐近)映射)获得大量有关混沌传输的信息,其中可以使用像KAM理论这样的强大数学结果。在这项工作中,我们回顾了有关保留区域地图中的交通障碍的最新工作,重点是不遵守所谓扭曲特性的系统。对于这样的系统,通常的KAM理论不再处处存在,并且新颖的动力学特征显示为非电阻重新连接,无剪切曲线和无剪切分叉。在使用标准的非扭曲映射介绍了一些常规功能之后,

更新日期:2021-04-08
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