论文标题
磁速度verlet法
A Magnetic Velocity Verlet Method
论文作者
论文摘要
我们讨论了速度verlet方法的扩展，该方法可以准确地近似于磁强迫带来的动能电荷粒子运动。对于均匀的磁场，该方法显示出比中点runge-kutta更好地保护颗粒动能和磁偶极力矩。然后，我们使用磁性速度的verlet方法来生成圆柱磁性镜机设置中的捕获的粒子轨迹，以及诸如地球磁场之类的偶极场。最后，该方法用于计算在存在磁性单位场的情况下（单）镜像运动的示例，在磁性场的存在下，可以以封闭形式描述轨迹。
We discuss an extension of the velocity Verlet method that accurately approximates the kinetic-energy-conserving charged particle motion that comes from magnetic forcing. For a uniform magnetic field, the method is shown to conserve both particle kinetic energy and magnetic dipole moment better than midpoint Runge-Kutta. We then use the magnetic velocity Verlet method to generate trapped particle trajectories, both in a cylindrical magnetic mirror machine setup, and for dipolar fields like the earth's magnetic field. Finally, the method is used to compute an example of (single) mirror motion in the presence of a magnetic monopole field, where the trajectory can be described in closed form.
