STOCHASTIC DYNAMICS OF A RELATIVISTIC PARTICLE IN A WAVE-PACKET FIELD

The dynamics of relativistic electrons in the longitudinal electric field of a wave packet is examined. It is shown that particle acceleration up to high energies can occur due to efficient wave-particle interaction (Landau resonance). It is found that a deterministic chaos arises in the system. The stochastic dynamics of particles is described by the Fokker-Planck-Kolmogorov equation. The electron maximum energy, stochasticity level in the system, diffusion coefficient, and diffusion time are determined. Feasible applications of this acceleration mechanism are discussed, and a comparison with known experimental data is given.