反转磁场处粒子运动分析

ANALYTICAL SOLUTION OF PARTICLE MOTION IN REVERSED FIELD CONFIGURATION

本文用解析方法分析了反转磁场位形中反转力线处粒子运动以及引导中心性质,从哈密顿函数出发,讨论了粒子在准势场中的束缚运动的特征以及x-px相空间上的周期性质;给出了引导中心坐标、绝热不变量、运动频率和漂移速度等物理量的表达式,从而描写了粒子二维运动图象。该工作为不稳定性理论和非线性动力学理论的进一步研究打下基础。

In this paper the analytical solution of orbits and guiding center position of charged particles in the reversedfield configuration are presented. By the approach of the Hamiltonian, the motion of particles in the quasipotential U(x) and the periodic trajectory of particles in phase space are analysed, the solution of guiding center positions and adiabatic invariants are obtained, and the mechanism of both orbital and diamagnetic drifts are discussed. This study will form a basis for further research into plasma instabilities and gyrokinetic dynamics in the reversedfield configuration.