Weakly Turbulent Nonlinear Wave-Particle Interactions in Space and Astrophysical Plasmas

摘要

Weakly nonlinear and incoherent interactions among waves and plasma particles can be described by perturbative nonlinear kinetic theory known in the plasma physics literature as the weak turbulence theory. The basic methodology will be briefly outlined and application of the weak turbulence theory to electron beam-plasma interaction problem will be discussed. The theoretical framework starts from simple Vlasov-Poisson equation, which is extended to Klimontovich-Poisson system of equations. Then electromagnetic generalization of Vlasov-Possion to Vlasov-Maxwell equation is discussed, which is finally generalized to Klimontovich-Maxwell system. The discussion will be of a review of existing literatures [1, 2, 3, 4, 5]. The increasing complexity in the theoretical development will be briefly explained at the conceptual level. The application of the theory to actual space plasma problem will be emphasized.