Turbulization of non-linear Langmuir oscillations in a cold plasma

Summary form only given, as follows. It is shown that the electric field of Langmuir oscillations of a cold plasma contains a component which is independent of time. This electric field component appears at the very first period of oscillation since it is not caused by the ponderomotive drift of electrons or an instability. This field sets ions into motion. Using Langrange variables, one-dimensional dynamics of plasma in respect of the interaction between electron oscillations and ion movement is investigated. As a consequence of this crossing of electron trajectories occurs even at small amplitudes at time Tc, i.e. one-dimensional turbulence appears in the system. The expression for Tc has been found. It is shown that in time Tc ion displacements as well as ion energy, representing only an insignificant part of oscillation energy, depend only on the electron-ion mass relationship. Thus, it can be expected that in such a scenario of turbulence the main part of the oscillation energy will be transferred to the chaotic movement of electrons.