Hamilton flow generated by field lines near a toroidal magnetic surface

被引:0
|
作者
A. A. Skovoroda
机构
[1] National Research Center Kurchatov Institute,
来源
Journal of Experimental and Theoretical Physics | 2013年 / 117卷
关键词
Field Line; Boundary Surface; Magnetic Surface; HAMILTON Flow; Resonant Perturbation;
D O I
暂无
中图分类号
学科分类号
摘要
A method is described for obtaining the Hamiltonian of a vacuum magnetic field in a given 3D toroidal magnetic surface (superconducting shell). This method is used to derive the expression for the integrable surface Hamiltonian in the form of the expansion of a rotational transform of field lines on embedded near-boundary magnetic surfaces into a Taylor series in the distance from the boundary. This expansion contains the value of the rotational transform and its shear at the boundary surface. It is shown that these quantities are related to the components of the first and second quadratic forms of the boundary surface.
引用
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页码:153 / 160
页数:7
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