论文标题
用于抑制指导中心运动过渡的浮磁场
Isodrastic Magnetic fields for suppressing transitions in guiding-centre motion
论文作者
论文摘要
在磁场中，指导中心运动类别之间的过渡会导致跨场扩散和逃脱。我们说，如果引导中心在运动类别之间没有过渡，则磁场是偶然的。因此，这是增强监禁的重要理想。首先，我们基于纵向绝热的不变性，普遍性的概括性。为了证明异形性比食味更一般性，我们构建了不合格的弱异构镜场。然后，我们提出了一个强大的公式，这是指导中心运动的精确表述。我们通过Melnikov功能开发了强型版本的一阶处理，并表明它恢复了弱版本。该理论提供了与等异常性偏差的量化，可以用作最佳设计中的目标函数。该理论在一些简单的例子上进行了说明。
In a magnetic field, transitions between classes of guiding-centre motion can lead to cross-field diffusion and escape. We say a magnetic field is isodrastic if guiding centres make no transitions between classes of motion. Therefore, this is an important ideal for enhancing confinement. First, we present a weak formulation, based on the longitudinal adiabatic invariant, generalising omnigenity. To demonstrate that isodrasticity is strictly more general than omnigenity, we construct weakly isodrastic mirror fields that are not omnigenous. Then we present a strong formulation that is exact for guiding-centre motion. We develop a first-order treatment of the strong version via a Melnikov function and show that it recovers the weak version. The theory provides quantification of deviations from isodrasticity that can be used as objective functions in optimal design. The theory is illustrated on some simple examples.
