| 用初-边值方法研究具有固定边界的等离子体Kink不稳定性 |
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| 引用本文： | 柯孚久,沈解伍,徐民健.用初-边值方法研究具有固定边界的等离子体Kink不稳定性[J].物理学报,1980,29(10):1263-1274. |
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| 作者姓名： | 柯孚久 沈解伍 徐民健 |
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| 作者单位： | 中国科学院物理研究所 |
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| 摘 要： | 本文解出了具有固定边界的平衡等离子体磁面方程的解析解和数值解。用简化的Lax-Wendroff方法求出了压力、速度和磁场的扰动值。得到了线性增长率、平均β和平均βp以及安全因子。我们发现:1.具有凹向电流剖面的等离子体比具有均匀电流剖面的等离子体更稳定,而具有凸向电流剖面的等离子体是最不稳定的;2.具有逆磁电流的等离子体比具有顺磁电流的等离子体更稳定。
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| 收稿时间： | 1979-12-24 |
THE KINK INSTABILITY OF A PLASMA WITH FIXED-BOUN-DARY BY THE METHOD OF INITIAL-BOUNDARY VALUES |
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| KE FU-JIU,SHEN JIE-WU and XU MIN-JIAN.THE KINK INSTABILITY OF A PLASMA WITH FIXED-BOUN-DARY BY THE METHOD OF INITIAL-BOUNDARY VALUES[J].Acta Physica Sinica,1980,29(10):1263-1274. |
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| Authors: | KE FU-JIU SHEN JIE-WU and XU MIN-JIAN |
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| Abstract: | The analytic solutions and numerical solutions of the equations of magnetic surface with fixed-boundary conditions are solved for the equilibrium plasma. The pressure, the velocity and the magnetic field fluctuations are evaluated with the simplified Lax-Wendroff method. The linear growth rates, the average β and βp, and the safety factor are obtained. We find that (1) plasma with concave currents profiles is more stable than that with uniform currents profiles, and plasma with convex currents profiles is least stable; (2) plamsa with diamagnetic currents is more stable than that with paramagnetic currents. |
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