辐射电子与多重碰撞电磁波的相互作用：随机游动轨迹、Levy飞行、极限圆和吸引子（结构确定模式综述）
Radiating Electron Interaction with Multiple Colliding Electromagnetic Waves: Random Walk Trajectories, Levy Flights, Limit Circles, and Attractors (Survey of the Structurally Determinate Patterns)
摘要：
文献[1]提出的多脉冲碰撞激光概念有利于获得极高幅度的相干电磁场。由于多个碰撞激光脉冲的电场和磁场随时间振荡的拓扑结构是不平凡的，并且在高场极限下辐射摩擦效应是显著的，因此带电粒子与多个碰撞激光脉冲相互作用的动力学表现出与随机行走轨迹、极限圆、吸引子、规则图案和Levy飞行相对应的显著特征。在极高的强度条件下，非线性耗散机制使粒子运动稳定，导致带电粒子轨迹位于狭窄区域内，并出现一类由粒子系综形成的新的规则图案。
英文摘要：
The multiple colliding laser pulse concept formulated in Ref. [1] is beneficial for achieving an extremely high amplitude of coherent electromagnetic field. Since the topology of electric and magnetic fields oscillating in time of multiple colliding laser pulses is far from trivial and the radiation friction effects are significant in the high field limit, the dynamics of charged particles interacting with the multiple colliding laser pulses demonstrates remarkable features corresponding to random walk trajectories, limit circles, attractors, regular patterns and Levy flights. Under extremely high intensity conditions the nonlinear dissipation mechanism stabilizes the particle motion resulting in the charged particle trajectory being located within narrow regions and in the occurrence of a new class of regular patterns made by the particle ensembles.
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