PROBABILISTIC MODEL OF BEAM–PLASMA INTERACTION IN RANDOMLY INHOMOGENEOUS PLASMA

摘要: We propose a new model that describes beam–plasma interaction in the presence of random density fluctuations with known probability distribution. use property that, for given frequency, probability distribution fluctuations uniquely determines distribution phase velocity of waves. present system as discrete and consisting small, equal spatial intervals with linear density profile. This approach allows one to estimate variations wave energy particle velocity, depending on the gradient on any small interval. Because characteristic time evolution electron distribution function is much longer than required single wave–particle resonant interaction over interval, we determine description relaxation process terms averaged quantities. derive equations, similar quasi-linear approximation, conventional velocity diffusion coefficient D growth rate γ replaced by average space, making use of velocities assuming each interval is independent previous interactions. Functions are completely determined for the amplitudes fluctuations. For Gaussian fluctuations, show the relaxation ratio beam plasma thermal dispersion the fluctuations, width space.