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Area-preserving maps models of gyroaveraged ExB chaotic transport

机译：陀螺平均ExB混沌传输的保区图模型

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摘要

Discrete maps have been extensively used to model 2-dimensional chaotic transport in plasmas and fluids. Here we focus on area-preserving maps describing finite Larmor radius (FLR) effects on E x B chaotic transport in magnetized plasmas with zonal flows perturbed by electrostatic drift waves. FLR effects are included by gyro-averaging the Hamiltonians of the maps which, depending on the zonal flow profile, can have monotonic or non-monotonic frequencies. In the limit of zero Larmor radius, the monotonic frequency map reduces to the standard Chirikov-Taylor map, and in the case of non-monotonic frequency, the map reduces to the standard nontwist map. We show that in both cases FLR leads to chaos suppression, changes in the stability of fixed points, and robustness of transport barriers. FLR effects are also responsible for changes in the phase space topology and zonal flow bifurcations. Dynamical systems methods based on the counting of recurrences times are used to quantify the dependence on the Larmor radius of the threshold for the destruction of transport barriers. (C) 2014 AIP Publishing LLC.
机译：离散映射已广泛用于模拟血浆和流体中的二维混沌传输。在这里，我们专注于描述有限的拉莫尔半径（FLR）对磁化等离子体中E x B混沌输运的影响的区域图，磁化等离子体中的局部流受静电漂移波干扰。通过对地图的哈密顿算术进行陀螺平均，可以包含FLR效应，这些视哈密顿数取决于纬向流量分布，可以具有单调或非单调频率。在零拉莫尔半径的范围内，单调频率图减小为标准Chirikov-Taylor图，在非单调频率的情况下，该图减小为标准非扭转图。我们表明，在两种情况下，FLR都会导致混乱抑制，固定点稳定性的变化以及运输障碍的鲁棒性。 FLR效应还负责相空间拓扑结构和纬向分流的变化。基于递归时间计数的动力学系统方法用于量化对破坏运输屏障的阈值的拉莫尔半径的依赖性。 （C）2014 AIP Publishing LLC。

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