[en] Ion cyclotron waves cannot be quasilinearly stabilized in Q-machine experiments because the electron distribution function does not have time to flatten while electrons pass through the plasma volume. A turbulently dissipative (or 'resonance broadening') model is invoked to explain the observed steady state mode saturation. A qualitative picture of the important nonlinear features and their implications for plasma heating experiments is given. The turbulently dissipative model is extended to give nonlinear frequency shifts and a description of the mode linewidths in steady-state experiments. Turbulent resistivity is calculated and found to be unobservably small compared to the classical value. Implications for further experiments are discussed. (author)