辛映射中的输运势垒
Transport barriers in symplectic maps
摘要：
混沌输运是等离子体物理中一个极其重要的问题，特别是与反常输运和湍流有关的问题。另一方面，大量关于混沌输运的信息可以从简单的动力系统中获得，如二维保面积（辛）映射，其中有强大的数学结果，如KAM理论。在这项工作中，我们回顾了最近的工作在面积保持地图的运输障碍，重点是系统不服从所谓的扭曲属性。对于这样的系统，KAM理论不再处处成立，新的动力学特征表现为非电阻重联，无剪切曲线和无剪切分叉。在介绍了一些一般的特点，使用一个标准的非扭曲映射，我们考虑磁场线图磁约束等离子体在托卡马克。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
