Charged particle dynamics in multiple colliding electromagnetic waves. Survey of random walk, Lévy flights, limit circles, attractors and structurally determinate patterns

Author(s): Bulanov, SV; Esirkepov, TZ; Koga, JK; Bulanov, SS; Gong, Z; Yan, XQ; Kando, M | Abstract: © 2017 Cambridge University Press. The multiple collidinglaser pulse concept formulated by Bulanov et al. (Phys. Rev. Lett., vol. 104, 2010b, 220404) is beneficial for achieving an extremely high amplitude of coherent electromagnetic field. Since the topology of electric and magnetic fields of multiple collidinglaser pulses oscillating in time is far from trivial and the radiation friction effects are significant in the high field limit, the dynamics of charged particlesinteracting with the multiple collidinglaser 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 particletrajectory being located within narrow regions and in the occurrence of a new class of regular patterns made by the particle ensembles.