フラックスコア-・スフェロマックの無力配位状態における近似モデルとその解析

概要

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Approximate analysis of the flux-core-spheromak (FCS) in a force-free state is presented on the basis of a simplified model for its structure. In the model, the magnetic structure of FCS is devided into three parts, namely, the center core part, the spheromak part, and the coupling part between the externally applied vertical-field and the toroidal current in the spheromak part. In our model, the eigenvalue k which characterizes a force-free state is defined by the ratio of the spatially averaged value of the current to that of the magnetic field in each part. The force-free condition is at first applied separately in each part and then the obtained relations are coupled to determine the eigen-value k of the system for a given aspect ratio A of the spheromak part. The results are compared to those of rigorous analytical solutions, and it is found that the results in our simplified model have qualitatively the similar trends to those of the analytical solutions in terms of various parametric dependences which characterize the FCS structure.
社団法人プラズマ・核融合学会の論文