On the basis of the theory of weak turbulence it is shown that the principal mechanism limiting the development of ion-acoustic instability in a current-carrying plasma in an electric field can be the non-linear scattering of oscillations by electrons. The energy density of turbulent ion-acoustic pulsations is of the order W∼(2me/mi)n0 Te, where n0 is the plasma density, Te the electron temperature and m6ij the electron and ion mass.Electron scattering by turbulent pulsations occurs with an effective frequency νs ∼ (2me/mi) ωpe and leads to an anomalous effective plasma conductivity , where ωpe is the electron Langmuir frequency.Ion-acoustic instability develops in a plasma in weak electric fields (E