On fluctuations in interfacial fluid systems

We study the propagation of the temperature fluctuations in a system in the presence of an interface. Such fluctuations originate from surface noise sources which are introduced through the random parts of the interfacial currents which satisfy fluctuation-dissipation theorems. The formal solution for the fluctuations in the media and at the interface is given and from it we compute and analyze the prepagators. In particular we find that such quantities depend on three characteristics frequencies that are responsible for their peculiar behaviour. The temperature correlation function exhibits 1/f noise in a particular frequency range.