Kinetic Description of Nonlinear Plasma Turbulence

Abstract

The kinetic description of nonlinear plasma turbulence is discussed for Vlasov plasmas with multiple species. Kadomtsev's formalism is reviewed, and the foundation from the Mori method of statistical physics is discussed. The coherent nonlinear term and nonlinear noise term are discussed. In addition to the diagonal term in memory function (eddy damping term), the off-diagonal term in the memory function and nonlinear noise are introduced simultaneously. The off-diagonal term in memory function affects the dynamics as the new nonlinear force, so that a nonlocal interaction in phase space occurs in wave-particle interactions. A set of special solutions for the eddy damping term and off-diagonal coherent term is obtained. The access to a nonlinear stationary state by using an incoherent emission term is explained. Quasi-modes, which are driven by the incoherent emission, are shown to accumulate at a frequency of ω( k )=2ω'( k /2), where ω'( k ) indicates the dispersion relation of the mode. The formulation ...