标题： 粒子与引力波相互作用的动力学描述 显示英文标题

标题： Kinetic description of particle interaction with a gravitational wave

摘要： 带电粒子在均匀磁场中运动并与平面偏振引力波相互作用的情况，使用福克-普朗克-柯尔莫哥洛夫（FPK）方法进行研究。 通过使用随机性准则，我们确定了相空间中发生共振重叠的确切位置。 我们通过推导有效扩散系数的一般解析表达式，研究了每个阶数为(m)的主要共振周围的轨道扩散。 找到了静态情况下相应扩散方程（福克-普朗克方程）的解。 全运动方程的数值积分以及随后的扩散系数计算验证了分析结果。 显示英文摘要

摘要： The interaction of charged particles, moving in a uniform magnetic field, with a plane-polarized gravitational wave is considered using the Fokker-Planck- Kolmogorov (FPK) approach. By using a stochasticity criterion, we determine the exact locations in phase space, where resonance overlapping occurs. We investigate the diffusion of orbits around each primary resonance of order (m) by deriving general analytical expressions for an effective diffusion coeficient. A solution to the corresponding diffusion equation (Fokker-Planck equation) for the static case is found. Numerical integration of the full equations of motion and subsequent calculation of the diffusion coefficient verifies the analytical results.