Non-Linear Effects in Plasmas: Resonant Three Wave Interaction

This lecture introduces non-linear effects in plasmas, focusing on the saturation of instabilities and the spectral spreading leading to turbulence. The study includes resonant three wave interaction, parametric instability, and Landau damping. The lecture covers weak non-linear effects, fluid-like descriptions, kinetic effects, and resonant coupling between particles. The discussion delves into the conditions for parametric instability, energy transfer between oscillators, and the mechanism of resonant particle instability. The lecture also explores the derivation of linear Landau damping invoking energy conservation. Simulation results and experimental evidence are used to illustrate non-linear effects.