磁场中带电粒子的二元碰撞
Binary collisions of charged particles in a magnetic field
摘要：
从粒子的无扰螺旋运动出发，用二阶微扰理论研究了外磁场中带电粒子间的二元碰撞。计算是在改进的二元碰撞处理的帮助下完成的，该处理对任何强度的磁场都有效，其中二阶能量和速度转移在傅立叶空间中表示为任意相互作用势。能量转移是明确计算的正则化和屏蔽势，这是有限范围和非奇异的起源，并涉及作为限制情况的德拜（即，屏蔽）和库仑势。两种不同的情况下被认为是详细的。(i)两个相同的（例如，电子-电子）粒子;（ii）和磁化电子和均匀移动的重离子之间的碰撞。能量转移涉及电子回旋运动的所有谐波。的扰动处理的有效性进行评估，通过比较与经典的轨迹Monte-Carlo计算，也可以调查在低速度下的大能量和速度转移的强碰撞。另一方面，对于大的初始速度，仅发生小的速度传递。非微扰数值经典轨迹Monte-Carlo结果与微扰处理的预测吻合得很好。
英文摘要：
Binary collisions between charged particles in an external magnetic field are considered in second-order perturbation theory, starting from the unperturbed helical motion of the particles. The calculations are done with the help of an improved binary collisions treatment which is valid for any strength of the magnetic field, where the second-order energy and velocity transfers are represented in Fourier space for arbitrary interaction potentials. The energy transfer is explicitly calculated for a regularized and screened potential which is both of finite range and non-singular at the origin, and which involves as limiting cases the Debye (i.e., screened) and Coulomb potential. Two distinct cases are considered in detail. (i) The collision of two identical (e.g., electron-electron) particles; (ii) and the collision between a magnetized electron and an uniformly moving heavy ion. The energy transfer involves all harmonics of the electron cyclotron motion. The validity of the perturbation treatment is evaluated by comparing with classical trajectory Monte--Carlo calculations which also allows to investigate the strong collisions with large energy and velocity transfer at low velocities. For large initial velocities on the other hand, only small velocity transfers occur. There the non-perturbative numerical classical trajectory Monte--Carlo results agree excellently with the predictions of the perturbative treatment.
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