Particle and energy exchange between untrapped and electrostatically confined populations in magnetic mirrors
Particle and energy exchange between untrapped and electrostatically confined populations in magnetic mirrors
复制标题
磁镜中未捕获的粒子和静电限制的粒子之间的粒子和能量交换
DOI：
10.1088/0029-5515/20/11/010
复制
发表时间：
1980
期刊：
影响因子：
3.3
通讯作者：
G. Rowlands
中科院分区：
文献类型：
--
作者：
R. Cohen;I. Bernstein;J. Dorning;G. Rowlands
本文研究了在具有约束静电势的磁镜中通过粒子对粒子约束的影响。导出了两个辅助边值问题的粒子流、能流和分布函数之间的精确关系。这些通量的近似解析表达式，渐近有效的大比率的限制位能被困粒子的温度和大或小的镜比，得到。结果被施加到确定的双极电位和捕获和未捕获的电子之间的温差在流稳定的常规镜机，如2XIIB和在一个tandemmirror机器的插塞单元。一个重要的结果是，在很宽的条件范围内，势垒串联镜电机的塞和势垒之间的电势差Φ由eΦ = Tep ln [（np/nb）（Tec/Tep）1/2]给出，这是麦克斯韦-玻尔兹曼结果的修正。
The effect of passing particles on the confinement of particles trapped in a magnetic mirror with confining electrostatic potential is examined. Exact relations between the particle and energy fluxes and the distribution functions for two auxiliary boundary value problems are derived. Approximate analytic expressions for these fluxes, asymptotically valid for large ratio of confining potential energy to trapped-particle temperature and either large or small mirror ratio, are obtained. The results are applied to the determination of the ambipolar potential and the temperature difference between trapped and untrapped electrons in a stream-stabilized conventional mirror machine such as 2XIIB and in the plug cells of a tandemmirror machine. An important result is that, under a wide range of conditions, the potential difference Φ between the plug and the barrier of a thermal-barrier tandem-mirror machine is given by eΦ = Tep ln [(np/nb) (Tec/Tep)1/2], a modification of the Maxwell-Boltzmann result.