Basic physical settingFrom N-body dynamics to wave-particle interactionDynamics of the small amplitude wave-particle systemStatistical description of the small amplitude wave-particle dynamicsHamiltonian chaosDiffusion: case of the nonself-consistent dynamicsSelf-consistent dynamics in the diffusive regimeTime evolution of the single wave-particle systemGibbsian equilibrium of the single wave-particle systemConclusionAppendicesReferences