论文标题
打结的电磁场中带电颗粒的轨迹
Trajectories of charged particles in knotted electromagnetic fields
论文作者
论文摘要
我们研究了麦克斯韦方程有限化真空溶液的背景中的点电荷的轨迹，称为结溶液。更具体地说，我们与所谓的“ Sitter方法”产生的电磁结的基础。我们发现各种行为，具体取决于字段配置和所使用的参数集。这包括通过电磁场从静止速度到超偏移速度的颗粒加速度，它们的轨迹快速收敛到少数狭窄的锥体中，以实现足够高的耦合值，以及以一致的方式扭曲和轨迹的明显扭曲和轨迹。这项工作是提高对打结的电磁场和它们产生的带电颗粒的轨迹的理解的努力的一部分，并且可能与实验应用有关。
We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called "de Sitter method". We find a variety of behaviors depending on the field configuration and the parameter set used. This includes an acceleration of particles by the electromagnetic field from rest to ultrarelativistic speeds, a quick convergence of their trajectories into a few narrow cones asymptotically for sufficiently high value of the coupling, and a pronounced twisting and turning of trajectories in a coherent fashion. This work is part of an effort to improve the understanding of knotted electromagnetic fields and the trajectories of charged particles they generate, and may be relevant for experimental applications.
