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Enhanced confinement with increased extent of the low magnetic shear region in tokamak plasmas

机译：托卡马克等离子体中的低磁剪切区增加，限制范围扩大

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The Hamiltonian representation of magnetic field lines enables one to study their confinement properties in tokamaks through the use of symplectic maps such as the symmetric tokamap and its bounded version, the latter being introduced here. In this time-independent purely magnetic framework, we observed the drastic improvement in the confinement of magnetic field lines produced by the local vanishing of the shear profile. This amounts to a non-twist condition that notably acts in the same way the safety profile being (non-strictly) monotonic or having a reversed shear. We single out the effect of the amount of flatness of the safety profile in the vicinity of its zero shear point. All other things being equal, the beneficial effect of the vanishing of the shear profile is shown to be increased if the radial extent of the low-shear region is increased. To be specific, the low-shear region induces the formation of a belt of robust KAM tori acting as an internal transport barrier whose width is all the larger as the extent of the low-shear region is broad.
机译：磁场线的哈密顿量表示使人们可以通过使用辛托克图（例如对称托卡图及其有界形式）来研究托卡马克中的约束性质，后者在此处介绍。在这种与时间无关的纯磁性框架中，我们观察到了由剪切剖面的局部消失所产生的磁场线限制的急剧改善。这相当于非扭转状态，特别是以（非严格）单调或反向剪切的安全性轮廓的相同方式起作用。我们选择了在零剪切点附近的安全轮廓平坦度的影响。在所有其他条件都相同的情况下，如果增加低剪切区域的径向范围，则剪切轮廓消失的有益效果就会增强。具体而言，低剪切区域诱导形成坚固的KAM花托带，用作内部运输屏障，随着低剪切区域的范围变宽，宽度变大。

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