Title: Radiating Electron Interaction with Multiple Colliding Electromagnetic Waves: Random Walk Trajectories, Levy Flights, Limit Circles, and Attractors (Survey of the Structurally Determinate Patterns),
Abstract: 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.