氘氚燃烧等离子体的热不稳定性计算  

NUMERICAL STUDY OF THERMAL INSTABILITY OF D T BURNING PLASMA

作　　者：龙永兴[1] 石秉仁[1] 牟宗泽[1] 

机构地区：[1]核工业西南物理研究院

出　　处：《计算物理》1997年第4期419-420,共2页Chinese Journal of Computational Physics

基　　金：核工业科学基金

摘　　要：由于氘氚反应率与离子温度有很强的依赖关系，氘氚燃烧等离子体是热不稳定的。讨论了描述稳态氘氚燃烧等离子体功率平衡方程的非线性特征。利用打靶方法，可以求得稳态温度分布和关于温度微扰方程的本征值。可是，由上述方法得出的平衡解会与随时间变化方程在ｔ→∞时的解不一致。这是一类未解决非线性数学问题的一个典型例子。The strong dependence of fusion reaction rate on ion temperature leads to a thermal instability of D T burning plasma.Mathematical qualites are discussed for the non linear differential equations describing the steady state power balance of a D T burning plasma.Shooting method is used to obtain equilibrium solution and eigenvalue of the linearized equation about temperature pertubation around equilibrium.However,the solution obtained by the above method can be different from the time dependent one for t→∞. This provides a typical example of a kind of unsolved non linear mathematical problem.

关 键 词：非线性微分方程 氘氚燃烧 等离子体 热稳定 

分 类 号：TL612.1[核科学技术—核技术及应用]