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Monte Carlo delta f simulation of the bootstrap current in the presence of a magnetic island

机译：磁岛存在时自举电流的蒙特卡洛增量模拟

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In the theoretical description of the neoclassical tearing mode the bootstrap current is assumed to completely vanish inside the magnetic island if finite perpendicular transport can be neglected. In this paper, the effects due to both the finite-orbit width of the trapped ions and their toroidal precession (not included in the standard analytic theory) on the island current are investigated. The evolution of the ion distribution function in toroidal geometry in the presence of a perturbed magnetic equilibrium is computed numerically employing the deltaf method, collisions being implemented by means of a Monte Carlo procedure. It is shown that a significant fraction of the (ion) bootstrap current survives inside the island when the ion banana width w(b) approaches the island width W, and no loss is observed for w(b)/W greater than or equal to 1. This effect is reduced when the collision time becomes longer than the toroidal drift time. The value of the current is found to be inconsistent with the local gradients in the island region. The finite-banana-width effect leads to a linear scaling of the value of the poloidal beta at the mode onset with the normalized ion poloidal gyroradius rho(p)*, in agreement with the experimental results of ASDEX Upgrade. [References: 19]
机译：在新古典撕裂模式的理论描述中，如果可以忽略有限的垂直传输，则假设自举电流在磁岛内部完全消失。在本文中，研究了由于被困离子的有限轨道宽度和它们的环形进动（未包括在标准分析理论中）对岛电流的影响。在存在摄动磁平衡的情况下，在环形几何结构中离子分布函数的演化是使用deltaf方法数值计算的，其中碰撞是通过Monte Carlo程序实现的。结果表明，当离子香蕉宽度w（b）接近岛宽W时，（离子）自举电流的很大一部分在岛内幸存，并且当w（b）/ W大于或等于W时，没有观察到损耗。 1.碰撞时间长于环形漂移时间时，此效果会降低。发现电流的值与岛区域中的局部梯度不一致。与ASDEX升级版的实验结果一致，有限的香蕉宽度效应导致以标准化离子多倍体陀螺半径rho（p）*的模式开始时多倍体β值的线性缩放。 [参考：19]

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