摘要
通过引入Cap-cyclide坐标和使用Wangerin函数,基于B Bernstein的能量原理,针对位于导体壁中的任意环径比和任意拉长比的非圆截面等离子体,不使用任何近似的方法,求得了等离子体的稳定解析解。进而利用计算机对解析结果进行数值计算,并通过β和稳定系数q的关系,分析和讨论了导体壁对非圆截面等离子体稳定性的影响。
Based on the energy principle of B Bernstein, steady analytical results of plasma for arbitrary aspect ratio and arbitrary elongation ratio of non-circular toroidal plasma surrounded by wall, without any approximate methods, are evaluated by introducing cap-cyclide coordinates and applying Wangerin function. Further more, the influence of wall on the stability of non-circular toroidal plasma is analyzed and discussed using the relationship between β and a safety factor q.
出处
《核聚变与等离子体物理》
EI
CAS
CSCD
北大核心
2007年第3期182-187,共6页
Nuclear Fusion and Plasma Physics
基金
国家自然科学基金资助项目(10375050)
