Pdoc. Yingzhe Li, (Max Planck Institute for Plasma Physics)

孙雅娟 研究员

Geometric Particle-in-Cell methods for the Vlasov-Maxwell equations with spin effects

2021 年 12 月 9 日（周四） 下午 16:00-17:00 腾讯会议（ID：605 4978 9293） 会议链接： https://meeting.tencent.com/dm/qw8QMyFVg88p

We propose a numerical scheme to solve the semiclassical Vlasov-Maxwell equations for electrons with spin. The electron gas is described by a distribution function that evolves in an extended 9-dimensional phase space. Using suitable approximations and symmetries, the extended phase space can be reduced to 5D. It can be shown that the spin Vlasov-Maxwell equations enjoy a Hamiltonian structure that motivates the use of the recently developed geometric particle-in-cell (PIC) methods. Here, the geometric PIC approach is generalized to the case of electrons with spin. Total energy conservation is very well satisfied, with a relative error below 0.05%. As a relevant example, we study the stimulated Raman scattering of an electromagnetic wave interacting with an underdense plasma, where the electrons are partially or fully spin polarized. It is shown that the Raman instability is very effective in destroying the electron polarization.

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