摘要

Turbulent Alfven waves exist ubiquitously in space and astrophysical plasmas. They may be generated by many different source mechanisms. Among them, ion beam instability is well known. Almost all instability theories are interested in the discussion whether a perturbation will grow or be damped in a given unperturbed state. Few papers elaborate the meaning of growth or amplification in terms of the initial condition. This brief communication complements the existing discussions by considering the effect of spontaneous generation of the waves. In the present study, we estimate the level of spectral energy of Alfvenic turbulence due to the presence of a beam of energetic ions. It is found that the spectral energy may be much higher than the average kinetic energy of the background plasma particles.