Numerical investigation of three-dimensional single-species plasma equilibria on magnetic surfaces
Numerical investigation of three-dimensional single-species plasma equilibria on magnetic surfaces
复制标题
磁性表面三维单物质等离子体平衡的数值研究
DOI：
10.1063/1.1928248
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发表时间：
2005
影响因子：
2.2
通讯作者：
J. P. Kremer
中科院分区：
文献类型：
--
作者：
R. Lefrancois;T. Pedersen;A. Boozer;J. P. Kremer
本文首次给出了局限于磁性表面并被等势边界包围的单种等离子体三维非线性平衡方程的数值解。这种等离子体的主要径向位移被发现是向外的，性质上类似于限制在磁性表面上的准中性等离子体的沙弗拉诺夫位移。然而，这与发生在非中性等离子体的纯环形场平衡（即，在没有磁性表面的情况下）的情况相反。在三维（3D）模型中，改变等离子体中德拜长度数量的影响与之前的二维计算一致：在德拜长度较少的等离子体的磁性表面上，电位变化显著（a > λd），而在德拜长度较多的表面上趋于恒定（a > 10λd）。对于导体边界与外磁表面不一致的情况，等离子体向导体移动，电势发生显著变化。
Presented for the first time are numerical solutions to the three-dimensional nonlinear equilibrium equation for single-species plasmas confined on magnetic surfaces and surrounded by an equipotential boundary. The major-radial shift of such plasmas is found to be outward, qualitatively similar to the Shafranov shift of quasineutral plasmas confined on magnetic surfaces. However, this is the opposite of what occurs in the pure toroidal field equilibria of non-neutral plasmas (i.e., in the absence of magnetic surfaces). The effect of varying the number of Debye lengths in the plasma for the three-dimensional (3D) model is in agreement with previous 2D calculations: the potential varies significantly on magnetic surfaces for plasmas with few Debye lengths (a≲λd), and tends to be constant on surfaces when many Debye lengths are present (a≳10λd). For the case of a conducting boundary that does not conform to the outer magnetic surface, the plasma is shifted towards the conductor and the potential varies signi...