强磁场中粒子输运的扩散和导向中心近似
Diffusion and guiding center approximation for particle transport in strong magnetic fields
摘要：
讨论了强磁场下线性Boltzmann方程的扩散极限。粒子在磁场中的回旋周期被假定为比碰撞弛豫时间小小于，而碰撞弛豫时间被假定为比宏观时间小小于。在平行方向上的极限方程是一个扩散方程，而在正交方向上，导向中心的运动得到。平行方向上的扩散常数是通过研究一个新的碰撞算子得到的，该碰撞算子是通过对原碰撞算子进行平均得到的。此外，导出了对导向中心运动的修正。
英文摘要：
The diffusion limit of the linear Boltzmann equation with a strong magnetic field is performed. The giration period of particles around the magnetic field is assumed to be much smaller than the collision relaxation time which is supposed to be much smaller than the macroscopic time. The limiting equation is shown to be a diffusion equation in the parallel direction while in the orthogonal direction, the guiding center motion is obtained. The diffusion constant in the parallel direction is obtained through the study of a new collision operator obtained by averaging the original one. Moreover, a correction to the guiding center motion is derived.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
