HYDRODYNAMIC NOISE WITH CORRELATION LENGTHS AND TIMES

The theory of hydrodynamic noise of Landau and Lifshitz is extended by the consideration of correlation times and lengths. We restrict our s tudy to the domain of thermodynamic equilibrium. When the intensity of the fluctuations of a phenomenological model is characterized by a ph enomenological constant, the same procedure can be applied to nonequil ibrium turbulent systems. Applications to one-dimensional climatic mod els and the fluctuation-dissipation theorem in the atmosphere are disc ussed.