Nonlinear wave driven processes in plasmas

Nonlinear wave driven processes in plasmas are normally described by either a monochromatic pump wave that couples to other monochromatic waves, or as a random phase wave coupling to other random phase waves. An alternative approach involves a random or broadband pump coupling to monochromatic and/or coherent structures in plasmas. This approach can be implemented through the wave kinetic model. In this model, the incoming pump wave is described by wither a bunch (for coherent waves) or a rea (for random phase waves) of quasi-particles. We will present a generalized statistical theory describing a range of phenomena that include generation of zonal flows from drift mode turbulence, photon acceleration of intense lasers and intense radio waves and photon shocks. Possible applications include a diagnostic of large amplitude plasma waves and studies of zonal flows in planetary atmospheres will also be discussed.